Download GATE (Graduate Aptitude Test in Engineering) Last 10 Years 2020, 2019, 2018, 2017, 2016, 2015, 2014, 2013, 2012, 2011 and 2010 CE02 Civil Engineering Question Papers With Solutions And Answer Keys
1/3
Q. 1 ? Q. 5 carry one mark each.
Q.1 If I were you, I __________ that laptop. It?s much too expensive.
(A) won?t buy (B) shan?t buy
(C) wouldn?t buy (D) would buy
Q.2 He turned a deaf ear to my request.
What does the underlined phrasal verb mean?
(A) ignored (B) appreciated (C) twisted (D) returned
Q.3 Choose the most appropriate set of words from the options given below to complete the following
sentence.
_________ ___________ is a will, _________ is a way.
(A) Wear, there, their (B) Were, their, there
(C) Where, there, there (D) Where, their, their
Q.4 (x % of y) + (y % of x) is equivalent to .
(A) 2 % of xy (B) 2 % of (xy/100) (C) xy % of 100 (D) 100 % of xy
Q.5 The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits
is greater than the original number by 54, find the original number.
(A) 39 (B) 57 (C) 66 (D) 93
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GATE 2016 General Aptitude ? GA Set-7
1/3
Q. 1 ? Q. 5 carry one mark each.
Q.1 If I were you, I __________ that laptop. It?s much too expensive.
(A) won?t buy (B) shan?t buy
(C) wouldn?t buy (D) would buy
Q.2 He turned a deaf ear to my request.
What does the underlined phrasal verb mean?
(A) ignored (B) appreciated (C) twisted (D) returned
Q.3 Choose the most appropriate set of words from the options given below to complete the following
sentence.
_________ ___________ is a will, _________ is a way.
(A) Wear, there, their (B) Were, their, there
(C) Where, there, there (D) Where, their, their
Q.4 (x % of y) + (y % of x) is equivalent to .
(A) 2 % of xy (B) 2 % of (xy/100) (C) xy % of 100 (D) 100 % of xy
Q.5 The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits
is greater than the original number by 54, find the original number.
(A) 39 (B) 57 (C) 66 (D) 93
GATE 2016 General Aptitude ? GA Set-7
2/3
Q. 6 ? Q. 10 carry two marks each.
Q.6 Two finance companies, P and Q, declared fixed annual rates of interest on the amounts invested
with them. The rates of interest offered by these companies may differ from year to year. Year-wise
annual rates of interest offered by these companies are shown by the line graph provided below.
If the amounts invested in the companies, P and Q, in 2006 are in the ratio 8:9, then the amounts
received after one year as interests from companies P and Q would be in the ratio:
(A) 2:3
(B) 3:4
(C) 6:7
(D) 4:3
Q.7 Today, we consider Ashoka as a great ruler because of the copious evidence he left behind in the
form of stone carved edicts. Historians tend to correlate greatness of a king at his time with the
availability of evidence today.
Which of the following can be logically inferred from the above sentences?
(A) Emperors who do not leave significant sculpted evidence are completely forgotten.
(B) Ashoka produced stone carved edicts to ensure that later historians will respect him.
(C) Statues of kings are a reminder of their greatness.
(D) A king?s greatness, as we know him today, is interpreted by historians.
7
9
8
10
7.5
6.5
6
6.5
8
9.5
8
9
8
4
2000 2001 2002 2003 2004 2005 2006
P Q
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GATE 2016 General Aptitude ? GA Set-7
1/3
Q. 1 ? Q. 5 carry one mark each.
Q.1 If I were you, I __________ that laptop. It?s much too expensive.
(A) won?t buy (B) shan?t buy
(C) wouldn?t buy (D) would buy
Q.2 He turned a deaf ear to my request.
What does the underlined phrasal verb mean?
(A) ignored (B) appreciated (C) twisted (D) returned
Q.3 Choose the most appropriate set of words from the options given below to complete the following
sentence.
_________ ___________ is a will, _________ is a way.
(A) Wear, there, their (B) Were, their, there
(C) Where, there, there (D) Where, their, their
Q.4 (x % of y) + (y % of x) is equivalent to .
(A) 2 % of xy (B) 2 % of (xy/100) (C) xy % of 100 (D) 100 % of xy
Q.5 The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits
is greater than the original number by 54, find the original number.
(A) 39 (B) 57 (C) 66 (D) 93
GATE 2016 General Aptitude ? GA Set-7
2/3
Q. 6 ? Q. 10 carry two marks each.
Q.6 Two finance companies, P and Q, declared fixed annual rates of interest on the amounts invested
with them. The rates of interest offered by these companies may differ from year to year. Year-wise
annual rates of interest offered by these companies are shown by the line graph provided below.
If the amounts invested in the companies, P and Q, in 2006 are in the ratio 8:9, then the amounts
received after one year as interests from companies P and Q would be in the ratio:
(A) 2:3
(B) 3:4
(C) 6:7
(D) 4:3
Q.7 Today, we consider Ashoka as a great ruler because of the copious evidence he left behind in the
form of stone carved edicts. Historians tend to correlate greatness of a king at his time with the
availability of evidence today.
Which of the following can be logically inferred from the above sentences?
(A) Emperors who do not leave significant sculpted evidence are completely forgotten.
(B) Ashoka produced stone carved edicts to ensure that later historians will respect him.
(C) Statues of kings are a reminder of their greatness.
(D) A king?s greatness, as we know him today, is interpreted by historians.
7
9
8
10
7.5
6.5
6
6.5
8
9.5
8
9
8
4
2000 2001 2002 2003 2004 2005 2006
P Q
GATE 2016 General Aptitude ? GA Set-7
3/3
Q.8 Fact 1: Humans are mammals.
Fact 2: Some humans are engineers.
Fact 3: Engineers build houses.
If the above statements are facts, which of the following can be logically inferred?
I. All mammals build houses.
II. Engineers are mammals.
III. Some humans are not engineers.
(A) II only. (B) III only.
(C) I, II and III. (D) I only.
Q.9 A square pyramid has a base perimeter x, and the slant height is half of the perimeter. What is the
lateral surface area of the pyramid?
(A) x
2
(B) 0.75 x
2
(C) 0.50 x
2
(D) 0.25 x
2
END OF THE QUESTION PAPER
Q.10 Ananth takes 6 hours and Bharath takes 4 hours to read a book. Both started reading copies of the
book at the same time. After how many hours is the number of pages to be read by Ananth, twice
that to be read by Bharath? Assume Ananth and Bharath read all the pages with constant pace.
(A) 1 (B) 2 (C) 3 (D) 4
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GATE 2016 General Aptitude ? GA Set-7
1/3
Q. 1 ? Q. 5 carry one mark each.
Q.1 If I were you, I __________ that laptop. It?s much too expensive.
(A) won?t buy (B) shan?t buy
(C) wouldn?t buy (D) would buy
Q.2 He turned a deaf ear to my request.
What does the underlined phrasal verb mean?
(A) ignored (B) appreciated (C) twisted (D) returned
Q.3 Choose the most appropriate set of words from the options given below to complete the following
sentence.
_________ ___________ is a will, _________ is a way.
(A) Wear, there, their (B) Were, their, there
(C) Where, there, there (D) Where, their, their
Q.4 (x % of y) + (y % of x) is equivalent to .
(A) 2 % of xy (B) 2 % of (xy/100) (C) xy % of 100 (D) 100 % of xy
Q.5 The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits
is greater than the original number by 54, find the original number.
(A) 39 (B) 57 (C) 66 (D) 93
GATE 2016 General Aptitude ? GA Set-7
2/3
Q. 6 ? Q. 10 carry two marks each.
Q.6 Two finance companies, P and Q, declared fixed annual rates of interest on the amounts invested
with them. The rates of interest offered by these companies may differ from year to year. Year-wise
annual rates of interest offered by these companies are shown by the line graph provided below.
If the amounts invested in the companies, P and Q, in 2006 are in the ratio 8:9, then the amounts
received after one year as interests from companies P and Q would be in the ratio:
(A) 2:3
(B) 3:4
(C) 6:7
(D) 4:3
Q.7 Today, we consider Ashoka as a great ruler because of the copious evidence he left behind in the
form of stone carved edicts. Historians tend to correlate greatness of a king at his time with the
availability of evidence today.
Which of the following can be logically inferred from the above sentences?
(A) Emperors who do not leave significant sculpted evidence are completely forgotten.
(B) Ashoka produced stone carved edicts to ensure that later historians will respect him.
(C) Statues of kings are a reminder of their greatness.
(D) A king?s greatness, as we know him today, is interpreted by historians.
7
9
8
10
7.5
6.5
6
6.5
8
9.5
8
9
8
4
2000 2001 2002 2003 2004 2005 2006
P Q
GATE 2016 General Aptitude ? GA Set-7
3/3
Q.8 Fact 1: Humans are mammals.
Fact 2: Some humans are engineers.
Fact 3: Engineers build houses.
If the above statements are facts, which of the following can be logically inferred?
I. All mammals build houses.
II. Engineers are mammals.
III. Some humans are not engineers.
(A) II only. (B) III only.
(C) I, II and III. (D) I only.
Q.9 A square pyramid has a base perimeter x, and the slant height is half of the perimeter. What is the
lateral surface area of the pyramid?
(A) x
2
(B) 0.75 x
2
(C) 0.50 x
2
(D) 0.25 x
2
END OF THE QUESTION PAPER
Q.10 Ananth takes 6 hours and Bharath takes 4 hours to read a book. Both started reading copies of the
book at the same time. After how many hours is the number of pages to be read by Ananth, twice
that to be read by Bharath? Assume Ananth and Bharath read all the pages with constant pace.
(A) 1 (B) 2 (C) 3 (D) 4
GATE 2016 Civil Engineering Set-2
CE(2) 1/15
Q. 1 ? Q. 25 carry one mark each
Q.1 The spot speeds (expressed in km/hr) observed at a road section are 66, 62, 45, 79, 32, 51, 56, 60,
53, and 49. The median speed (expressed in km/hr) is _________
(Note: answer with one decimal accuracy)
Q.2 The optimum value of the function f(x) = x
2
? 4x +2 is
(A) 2 (maximum) (B) 2 (minimum) (C) ?2 (maximum) (D) ?2 (minimum)
Q.3 The Fourier series of the function,
???? ( ???? ) = 0, ? ???? < ???? ? 0
= ???? ? ???? , 0 < ???? < ????
in the interval [? ???? , ???? ] is
???? ( ???? ) =
???? 4
+
2
???? ?
cos ???? 1
2
+
cos 3 ???? 3
2
+ ? ? ? ? + ?
sin ???? 1
+
sin 2 ???? 2
+
sin 3 ???? 3
+ ? ? . ?.
The convergence of the above Fourier series at ???? = 0 gives
(A)
6
1
2
1
2
?
=
?
?
= n
n
(B)
12
) 1 (
2
1
2
1
?
=
?
?
?
=
+
n
n
n
(C)
8 ) 1 2 (
1
2
1
2
?
=
?
?
?
= n
n
(D)
4 1 2
) 1 (
1
1
?
=
?
?
?
?
=
+
n
n
n
Q.4
X and Y are two random independent events. It is known that ( ) 40 . 0 = X P and
( ) . 7 . 0 = ?
C
Y X P Which one of the following is the value of ( ) Y X P ?
?
(A) 0.7 (B) 0.5 (C) 0.4 (D) 0.3
Q.5
What is the value of
22
0
0
lim
x
y
xy
xy
?
?
+
?
(A) 1 (B) ?1 (C) 0 (D) Limit does not exist
Q.6 The kinematic indeterminacy of the plane truss shown in the figure is
(A) 11 (B) 8 (C) 3 (D) 0
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GATE 2016 General Aptitude ? GA Set-7
1/3
Q. 1 ? Q. 5 carry one mark each.
Q.1 If I were you, I __________ that laptop. It?s much too expensive.
(A) won?t buy (B) shan?t buy
(C) wouldn?t buy (D) would buy
Q.2 He turned a deaf ear to my request.
What does the underlined phrasal verb mean?
(A) ignored (B) appreciated (C) twisted (D) returned
Q.3 Choose the most appropriate set of words from the options given below to complete the following
sentence.
_________ ___________ is a will, _________ is a way.
(A) Wear, there, their (B) Were, their, there
(C) Where, there, there (D) Where, their, their
Q.4 (x % of y) + (y % of x) is equivalent to .
(A) 2 % of xy (B) 2 % of (xy/100) (C) xy % of 100 (D) 100 % of xy
Q.5 The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits
is greater than the original number by 54, find the original number.
(A) 39 (B) 57 (C) 66 (D) 93
GATE 2016 General Aptitude ? GA Set-7
2/3
Q. 6 ? Q. 10 carry two marks each.
Q.6 Two finance companies, P and Q, declared fixed annual rates of interest on the amounts invested
with them. The rates of interest offered by these companies may differ from year to year. Year-wise
annual rates of interest offered by these companies are shown by the line graph provided below.
If the amounts invested in the companies, P and Q, in 2006 are in the ratio 8:9, then the amounts
received after one year as interests from companies P and Q would be in the ratio:
(A) 2:3
(B) 3:4
(C) 6:7
(D) 4:3
Q.7 Today, we consider Ashoka as a great ruler because of the copious evidence he left behind in the
form of stone carved edicts. Historians tend to correlate greatness of a king at his time with the
availability of evidence today.
Which of the following can be logically inferred from the above sentences?
(A) Emperors who do not leave significant sculpted evidence are completely forgotten.
(B) Ashoka produced stone carved edicts to ensure that later historians will respect him.
(C) Statues of kings are a reminder of their greatness.
(D) A king?s greatness, as we know him today, is interpreted by historians.
7
9
8
10
7.5
6.5
6
6.5
8
9.5
8
9
8
4
2000 2001 2002 2003 2004 2005 2006
P Q
GATE 2016 General Aptitude ? GA Set-7
3/3
Q.8 Fact 1: Humans are mammals.
Fact 2: Some humans are engineers.
Fact 3: Engineers build houses.
If the above statements are facts, which of the following can be logically inferred?
I. All mammals build houses.
II. Engineers are mammals.
III. Some humans are not engineers.
(A) II only. (B) III only.
(C) I, II and III. (D) I only.
Q.9 A square pyramid has a base perimeter x, and the slant height is half of the perimeter. What is the
lateral surface area of the pyramid?
(A) x
2
(B) 0.75 x
2
(C) 0.50 x
2
(D) 0.25 x
2
END OF THE QUESTION PAPER
Q.10 Ananth takes 6 hours and Bharath takes 4 hours to read a book. Both started reading copies of the
book at the same time. After how many hours is the number of pages to be read by Ananth, twice
that to be read by Bharath? Assume Ananth and Bharath read all the pages with constant pace.
(A) 1 (B) 2 (C) 3 (D) 4
GATE 2016 Civil Engineering Set-2
CE(2) 1/15
Q. 1 ? Q. 25 carry one mark each
Q.1 The spot speeds (expressed in km/hr) observed at a road section are 66, 62, 45, 79, 32, 51, 56, 60,
53, and 49. The median speed (expressed in km/hr) is _________
(Note: answer with one decimal accuracy)
Q.2 The optimum value of the function f(x) = x
2
? 4x +2 is
(A) 2 (maximum) (B) 2 (minimum) (C) ?2 (maximum) (D) ?2 (minimum)
Q.3 The Fourier series of the function,
???? ( ???? ) = 0, ? ???? < ???? ? 0
= ???? ? ???? , 0 < ???? < ????
in the interval [? ???? , ???? ] is
???? ( ???? ) =
???? 4
+
2
???? ?
cos ???? 1
2
+
cos 3 ???? 3
2
+ ? ? ? ? + ?
sin ???? 1
+
sin 2 ???? 2
+
sin 3 ???? 3
+ ? ? . ?.
The convergence of the above Fourier series at ???? = 0 gives
(A)
6
1
2
1
2
?
=
?
?
= n
n
(B)
12
) 1 (
2
1
2
1
?
=
?
?
?
=
+
n
n
n
(C)
8 ) 1 2 (
1
2
1
2
?
=
?
?
?
= n
n
(D)
4 1 2
) 1 (
1
1
?
=
?
?
?
?
=
+
n
n
n
Q.4
X and Y are two random independent events. It is known that ( ) 40 . 0 = X P and
( ) . 7 . 0 = ?
C
Y X P Which one of the following is the value of ( ) Y X P ?
?
(A) 0.7 (B) 0.5 (C) 0.4 (D) 0.3
Q.5
What is the value of
22
0
0
lim
x
y
xy
xy
?
?
+
?
(A) 1 (B) ?1 (C) 0 (D) Limit does not exist
Q.6 The kinematic indeterminacy of the plane truss shown in the figure is
(A) 11 (B) 8 (C) 3 (D) 0
GATE 2016 Civil Engineering Set-2
CE(2) 2/15
Q.7 As per IS 456-2000 for the design of reinforced concrete beam, the maximum allowable shear
stress ( )
max c
? depends on the
(A) grade of concrete and grade of steel
(B) grade of concrete only
(C) grade of steel only
(D) grade of concrete and percentage of reinforcement
Q.8 An assembly made of a rigid arm A-B-C hinged at end A and supported by an elastic rope C-D at
end C is shown in the figure. The members may be assumed to be weightless and the lengths of the
respective members are as shown in the figure.
Under the action of a concentrated load P at C as shown, the magnitude of tension developed in the
rope is
(A)
2
3P
(B)
2
P
(C)
8
3P
(D) P 2
Q.9 As per Indian standards for bricks, minimum acceptable compressive strength of any class of burnt
clay bricks in dry state is
(A) 10.0 MPa (B) 7.5 MPa (C) 5.0 MPa (D) 3.5 MPa
B
P
L L
L
A D
C
Rope
Rigid arm
L
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GATE 2016 General Aptitude ? GA Set-7
1/3
Q. 1 ? Q. 5 carry one mark each.
Q.1 If I were you, I __________ that laptop. It?s much too expensive.
(A) won?t buy (B) shan?t buy
(C) wouldn?t buy (D) would buy
Q.2 He turned a deaf ear to my request.
What does the underlined phrasal verb mean?
(A) ignored (B) appreciated (C) twisted (D) returned
Q.3 Choose the most appropriate set of words from the options given below to complete the following
sentence.
_________ ___________ is a will, _________ is a way.
(A) Wear, there, their (B) Were, their, there
(C) Where, there, there (D) Where, their, their
Q.4 (x % of y) + (y % of x) is equivalent to .
(A) 2 % of xy (B) 2 % of (xy/100) (C) xy % of 100 (D) 100 % of xy
Q.5 The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits
is greater than the original number by 54, find the original number.
(A) 39 (B) 57 (C) 66 (D) 93
GATE 2016 General Aptitude ? GA Set-7
2/3
Q. 6 ? Q. 10 carry two marks each.
Q.6 Two finance companies, P and Q, declared fixed annual rates of interest on the amounts invested
with them. The rates of interest offered by these companies may differ from year to year. Year-wise
annual rates of interest offered by these companies are shown by the line graph provided below.
If the amounts invested in the companies, P and Q, in 2006 are in the ratio 8:9, then the amounts
received after one year as interests from companies P and Q would be in the ratio:
(A) 2:3
(B) 3:4
(C) 6:7
(D) 4:3
Q.7 Today, we consider Ashoka as a great ruler because of the copious evidence he left behind in the
form of stone carved edicts. Historians tend to correlate greatness of a king at his time with the
availability of evidence today.
Which of the following can be logically inferred from the above sentences?
(A) Emperors who do not leave significant sculpted evidence are completely forgotten.
(B) Ashoka produced stone carved edicts to ensure that later historians will respect him.
(C) Statues of kings are a reminder of their greatness.
(D) A king?s greatness, as we know him today, is interpreted by historians.
7
9
8
10
7.5
6.5
6
6.5
8
9.5
8
9
8
4
2000 2001 2002 2003 2004 2005 2006
P Q
GATE 2016 General Aptitude ? GA Set-7
3/3
Q.8 Fact 1: Humans are mammals.
Fact 2: Some humans are engineers.
Fact 3: Engineers build houses.
If the above statements are facts, which of the following can be logically inferred?
I. All mammals build houses.
II. Engineers are mammals.
III. Some humans are not engineers.
(A) II only. (B) III only.
(C) I, II and III. (D) I only.
Q.9 A square pyramid has a base perimeter x, and the slant height is half of the perimeter. What is the
lateral surface area of the pyramid?
(A) x
2
(B) 0.75 x
2
(C) 0.50 x
2
(D) 0.25 x
2
END OF THE QUESTION PAPER
Q.10 Ananth takes 6 hours and Bharath takes 4 hours to read a book. Both started reading copies of the
book at the same time. After how many hours is the number of pages to be read by Ananth, twice
that to be read by Bharath? Assume Ananth and Bharath read all the pages with constant pace.
(A) 1 (B) 2 (C) 3 (D) 4
GATE 2016 Civil Engineering Set-2
CE(2) 1/15
Q. 1 ? Q. 25 carry one mark each
Q.1 The spot speeds (expressed in km/hr) observed at a road section are 66, 62, 45, 79, 32, 51, 56, 60,
53, and 49. The median speed (expressed in km/hr) is _________
(Note: answer with one decimal accuracy)
Q.2 The optimum value of the function f(x) = x
2
? 4x +2 is
(A) 2 (maximum) (B) 2 (minimum) (C) ?2 (maximum) (D) ?2 (minimum)
Q.3 The Fourier series of the function,
???? ( ???? ) = 0, ? ???? < ???? ? 0
= ???? ? ???? , 0 < ???? < ????
in the interval [? ???? , ???? ] is
???? ( ???? ) =
???? 4
+
2
???? ?
cos ???? 1
2
+
cos 3 ???? 3
2
+ ? ? ? ? + ?
sin ???? 1
+
sin 2 ???? 2
+
sin 3 ???? 3
+ ? ? . ?.
The convergence of the above Fourier series at ???? = 0 gives
(A)
6
1
2
1
2
?
=
?
?
= n
n
(B)
12
) 1 (
2
1
2
1
?
=
?
?
?
=
+
n
n
n
(C)
8 ) 1 2 (
1
2
1
2
?
=
?
?
?
= n
n
(D)
4 1 2
) 1 (
1
1
?
=
?
?
?
?
=
+
n
n
n
Q.4
X and Y are two random independent events. It is known that ( ) 40 . 0 = X P and
( ) . 7 . 0 = ?
C
Y X P Which one of the following is the value of ( ) Y X P ?
?
(A) 0.7 (B) 0.5 (C) 0.4 (D) 0.3
Q.5
What is the value of
22
0
0
lim
x
y
xy
xy
?
?
+
?
(A) 1 (B) ?1 (C) 0 (D) Limit does not exist
Q.6 The kinematic indeterminacy of the plane truss shown in the figure is
(A) 11 (B) 8 (C) 3 (D) 0
GATE 2016 Civil Engineering Set-2
CE(2) 2/15
Q.7 As per IS 456-2000 for the design of reinforced concrete beam, the maximum allowable shear
stress ( )
max c
? depends on the
(A) grade of concrete and grade of steel
(B) grade of concrete only
(C) grade of steel only
(D) grade of concrete and percentage of reinforcement
Q.8 An assembly made of a rigid arm A-B-C hinged at end A and supported by an elastic rope C-D at
end C is shown in the figure. The members may be assumed to be weightless and the lengths of the
respective members are as shown in the figure.
Under the action of a concentrated load P at C as shown, the magnitude of tension developed in the
rope is
(A)
2
3P
(B)
2
P
(C)
8
3P
(D) P 2
Q.9 As per Indian standards for bricks, minimum acceptable compressive strength of any class of burnt
clay bricks in dry state is
(A) 10.0 MPa (B) 7.5 MPa (C) 5.0 MPa (D) 3.5 MPa
B
P
L L
L
A D
C
Rope
Rigid arm
L
GATE 2016 Civil Engineering Set-2
CE(2) 3/15
Q.10 A construction project consists of twelve activities. The estimated duration (in days) required to
complete each of the activities along with the corresponding network diagram is shown below.
Activity Duration (days) Activity Duration (days)
A Inauguration 1 G Flooring 25
B Foundation work 7 H Electrification 7
C Structural construction-1 30 I Plumbing 7
D Structural construction-2 30 J Wood work 7
E Brick masonry work 25 K Coloring 3
F Plastering 7 L Handing over function 1
Total floats (in days) for the activities 5-7 and 11-12 for the project are, respectively,
(A) 25 and 1
(B) 1 and 1
(C) 0 and 0
(D) 81 and 0
Q.11 A strip footing is resting on the surface of a purely clayey soil deposit. If the width of the footing is
doubled, the ultimate bearing capacity of the soil
(A) becomes double (B) becomes half (C) becomes four-times (D) remains the same
Q.12 The relationship between the specific gravity of sand (G) and the hydraulic gradient (i) to initiate
quick condition in the sand layer having porosity of 30% is
(A) G = 0.7i + 1 (B) G = 1.43i ? 1
(C) G = 1.43i + 1 (D) G = 0.7i ? 1
Q.13 The results of a consolidation test on an undisturbed soil, sampled at a depth of 10 m below the
ground level are as follows:
Saturated unit weight : 16 kN/m
3
Pre-consolidation pressure : 90 kPa
The water table was encountered at the ground level. Assuming the unit weight of water as 10
kN/m
3
, the over-consolidation ratio of the soil is
(A) 0.67
(B) 1.50 (C) 1.77 (D) 2.00
1 2 3
4 6 8
10 11 12
5 7 9
A B K L
C J
D I
E F
G H
FirstRanker.com - FirstRanker's Choice
GATE 2016 General Aptitude ? GA Set-7
1/3
Q. 1 ? Q. 5 carry one mark each.
Q.1 If I were you, I __________ that laptop. It?s much too expensive.
(A) won?t buy (B) shan?t buy
(C) wouldn?t buy (D) would buy
Q.2 He turned a deaf ear to my request.
What does the underlined phrasal verb mean?
(A) ignored (B) appreciated (C) twisted (D) returned
Q.3 Choose the most appropriate set of words from the options given below to complete the following
sentence.
_________ ___________ is a will, _________ is a way.
(A) Wear, there, their (B) Were, their, there
(C) Where, there, there (D) Where, their, their
Q.4 (x % of y) + (y % of x) is equivalent to .
(A) 2 % of xy (B) 2 % of (xy/100) (C) xy % of 100 (D) 100 % of xy
Q.5 The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits
is greater than the original number by 54, find the original number.
(A) 39 (B) 57 (C) 66 (D) 93
GATE 2016 General Aptitude ? GA Set-7
2/3
Q. 6 ? Q. 10 carry two marks each.
Q.6 Two finance companies, P and Q, declared fixed annual rates of interest on the amounts invested
with them. The rates of interest offered by these companies may differ from year to year. Year-wise
annual rates of interest offered by these companies are shown by the line graph provided below.
If the amounts invested in the companies, P and Q, in 2006 are in the ratio 8:9, then the amounts
received after one year as interests from companies P and Q would be in the ratio:
(A) 2:3
(B) 3:4
(C) 6:7
(D) 4:3
Q.7 Today, we consider Ashoka as a great ruler because of the copious evidence he left behind in the
form of stone carved edicts. Historians tend to correlate greatness of a king at his time with the
availability of evidence today.
Which of the following can be logically inferred from the above sentences?
(A) Emperors who do not leave significant sculpted evidence are completely forgotten.
(B) Ashoka produced stone carved edicts to ensure that later historians will respect him.
(C) Statues of kings are a reminder of their greatness.
(D) A king?s greatness, as we know him today, is interpreted by historians.
7
9
8
10
7.5
6.5
6
6.5
8
9.5
8
9
8
4
2000 2001 2002 2003 2004 2005 2006
P Q
GATE 2016 General Aptitude ? GA Set-7
3/3
Q.8 Fact 1: Humans are mammals.
Fact 2: Some humans are engineers.
Fact 3: Engineers build houses.
If the above statements are facts, which of the following can be logically inferred?
I. All mammals build houses.
II. Engineers are mammals.
III. Some humans are not engineers.
(A) II only. (B) III only.
(C) I, II and III. (D) I only.
Q.9 A square pyramid has a base perimeter x, and the slant height is half of the perimeter. What is the
lateral surface area of the pyramid?
(A) x
2
(B) 0.75 x
2
(C) 0.50 x
2
(D) 0.25 x
2
END OF THE QUESTION PAPER
Q.10 Ananth takes 6 hours and Bharath takes 4 hours to read a book. Both started reading copies of the
book at the same time. After how many hours is the number of pages to be read by Ananth, twice
that to be read by Bharath? Assume Ananth and Bharath read all the pages with constant pace.
(A) 1 (B) 2 (C) 3 (D) 4
GATE 2016 Civil Engineering Set-2
CE(2) 1/15
Q. 1 ? Q. 25 carry one mark each
Q.1 The spot speeds (expressed in km/hr) observed at a road section are 66, 62, 45, 79, 32, 51, 56, 60,
53, and 49. The median speed (expressed in km/hr) is _________
(Note: answer with one decimal accuracy)
Q.2 The optimum value of the function f(x) = x
2
? 4x +2 is
(A) 2 (maximum) (B) 2 (minimum) (C) ?2 (maximum) (D) ?2 (minimum)
Q.3 The Fourier series of the function,
???? ( ???? ) = 0, ? ???? < ???? ? 0
= ???? ? ???? , 0 < ???? < ????
in the interval [? ???? , ???? ] is
???? ( ???? ) =
???? 4
+
2
???? ?
cos ???? 1
2
+
cos 3 ???? 3
2
+ ? ? ? ? + ?
sin ???? 1
+
sin 2 ???? 2
+
sin 3 ???? 3
+ ? ? . ?.
The convergence of the above Fourier series at ???? = 0 gives
(A)
6
1
2
1
2
?
=
?
?
= n
n
(B)
12
) 1 (
2
1
2
1
?
=
?
?
?
=
+
n
n
n
(C)
8 ) 1 2 (
1
2
1
2
?
=
?
?
?
= n
n
(D)
4 1 2
) 1 (
1
1
?
=
?
?
?
?
=
+
n
n
n
Q.4
X and Y are two random independent events. It is known that ( ) 40 . 0 = X P and
( ) . 7 . 0 = ?
C
Y X P Which one of the following is the value of ( ) Y X P ?
?
(A) 0.7 (B) 0.5 (C) 0.4 (D) 0.3
Q.5
What is the value of
22
0
0
lim
x
y
xy
xy
?
?
+
?
(A) 1 (B) ?1 (C) 0 (D) Limit does not exist
Q.6 The kinematic indeterminacy of the plane truss shown in the figure is
(A) 11 (B) 8 (C) 3 (D) 0
GATE 2016 Civil Engineering Set-2
CE(2) 2/15
Q.7 As per IS 456-2000 for the design of reinforced concrete beam, the maximum allowable shear
stress ( )
max c
? depends on the
(A) grade of concrete and grade of steel
(B) grade of concrete only
(C) grade of steel only
(D) grade of concrete and percentage of reinforcement
Q.8 An assembly made of a rigid arm A-B-C hinged at end A and supported by an elastic rope C-D at
end C is shown in the figure. The members may be assumed to be weightless and the lengths of the
respective members are as shown in the figure.
Under the action of a concentrated load P at C as shown, the magnitude of tension developed in the
rope is
(A)
2
3P
(B)
2
P
(C)
8
3P
(D) P 2
Q.9 As per Indian standards for bricks, minimum acceptable compressive strength of any class of burnt
clay bricks in dry state is
(A) 10.0 MPa (B) 7.5 MPa (C) 5.0 MPa (D) 3.5 MPa
B
P
L L
L
A D
C
Rope
Rigid arm
L
GATE 2016 Civil Engineering Set-2
CE(2) 3/15
Q.10 A construction project consists of twelve activities. The estimated duration (in days) required to
complete each of the activities along with the corresponding network diagram is shown below.
Activity Duration (days) Activity Duration (days)
A Inauguration 1 G Flooring 25
B Foundation work 7 H Electrification 7
C Structural construction-1 30 I Plumbing 7
D Structural construction-2 30 J Wood work 7
E Brick masonry work 25 K Coloring 3
F Plastering 7 L Handing over function 1
Total floats (in days) for the activities 5-7 and 11-12 for the project are, respectively,
(A) 25 and 1
(B) 1 and 1
(C) 0 and 0
(D) 81 and 0
Q.11 A strip footing is resting on the surface of a purely clayey soil deposit. If the width of the footing is
doubled, the ultimate bearing capacity of the soil
(A) becomes double (B) becomes half (C) becomes four-times (D) remains the same
Q.12 The relationship between the specific gravity of sand (G) and the hydraulic gradient (i) to initiate
quick condition in the sand layer having porosity of 30% is
(A) G = 0.7i + 1 (B) G = 1.43i ? 1
(C) G = 1.43i + 1 (D) G = 0.7i ? 1
Q.13 The results of a consolidation test on an undisturbed soil, sampled at a depth of 10 m below the
ground level are as follows:
Saturated unit weight : 16 kN/m
3
Pre-consolidation pressure : 90 kPa
The water table was encountered at the ground level. Assuming the unit weight of water as 10
kN/m
3
, the over-consolidation ratio of the soil is
(A) 0.67
(B) 1.50 (C) 1.77 (D) 2.00
1 2 3
4 6 8
10 11 12
5 7 9
A B K L
C J
D I
E F
G H
GATE 2016 Civil Engineering Set-2
CE(2) 4/15
Q.14 Profile of a weir on permeable foundation is shown in figure I and an elementary profile of
'upstream pile only case' according to Khosla's theory is shown in figure II. The uplift pressure
heads at key points Q, R and S are 3.14 m, 2.75 m and 0 m, respectively (refer figure II).
What is the uplift pressure head at point P downstream of the weir (junction of floor and pile as
shown in the figure I)?
(A) 2.75 m (B) 1.25 m (C) 0.8 m (D) Data not sufficient
Q.15 Water table of an aquifer drops by 100 cm over an area of 1000 km
2
. The porosity and specific
retention of the aquifer material are 25% and 5%, respectively. The amount of water (expressed in
km
3
) drained out from the area is _________
10 m 5 m 25 m
P
Weir
Gate
Floor
1 m
3 m
5 m
40 m
S
4 m
5 m
R
Q
Figure I
Figure II
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GATE 2016 General Aptitude ? GA Set-7
1/3
Q. 1 ? Q. 5 carry one mark each.
Q.1 If I were you, I __________ that laptop. It?s much too expensive.
(A) won?t buy (B) shan?t buy
(C) wouldn?t buy (D) would buy
Q.2 He turned a deaf ear to my request.
What does the underlined phrasal verb mean?
(A) ignored (B) appreciated (C) twisted (D) returned
Q.3 Choose the most appropriate set of words from the options given below to complete the following
sentence.
_________ ___________ is a will, _________ is a way.
(A) Wear, there, their (B) Were, their, there
(C) Where, there, there (D) Where, their, their
Q.4 (x % of y) + (y % of x) is equivalent to .
(A) 2 % of xy (B) 2 % of (xy/100) (C) xy % of 100 (D) 100 % of xy
Q.5 The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits
is greater than the original number by 54, find the original number.
(A) 39 (B) 57 (C) 66 (D) 93
GATE 2016 General Aptitude ? GA Set-7
2/3
Q. 6 ? Q. 10 carry two marks each.
Q.6 Two finance companies, P and Q, declared fixed annual rates of interest on the amounts invested
with them. The rates of interest offered by these companies may differ from year to year. Year-wise
annual rates of interest offered by these companies are shown by the line graph provided below.
If the amounts invested in the companies, P and Q, in 2006 are in the ratio 8:9, then the amounts
received after one year as interests from companies P and Q would be in the ratio:
(A) 2:3
(B) 3:4
(C) 6:7
(D) 4:3
Q.7 Today, we consider Ashoka as a great ruler because of the copious evidence he left behind in the
form of stone carved edicts. Historians tend to correlate greatness of a king at his time with the
availability of evidence today.
Which of the following can be logically inferred from the above sentences?
(A) Emperors who do not leave significant sculpted evidence are completely forgotten.
(B) Ashoka produced stone carved edicts to ensure that later historians will respect him.
(C) Statues of kings are a reminder of their greatness.
(D) A king?s greatness, as we know him today, is interpreted by historians.
7
9
8
10
7.5
6.5
6
6.5
8
9.5
8
9
8
4
2000 2001 2002 2003 2004 2005 2006
P Q
GATE 2016 General Aptitude ? GA Set-7
3/3
Q.8 Fact 1: Humans are mammals.
Fact 2: Some humans are engineers.
Fact 3: Engineers build houses.
If the above statements are facts, which of the following can be logically inferred?
I. All mammals build houses.
II. Engineers are mammals.
III. Some humans are not engineers.
(A) II only. (B) III only.
(C) I, II and III. (D) I only.
Q.9 A square pyramid has a base perimeter x, and the slant height is half of the perimeter. What is the
lateral surface area of the pyramid?
(A) x
2
(B) 0.75 x
2
(C) 0.50 x
2
(D) 0.25 x
2
END OF THE QUESTION PAPER
Q.10 Ananth takes 6 hours and Bharath takes 4 hours to read a book. Both started reading copies of the
book at the same time. After how many hours is the number of pages to be read by Ananth, twice
that to be read by Bharath? Assume Ananth and Bharath read all the pages with constant pace.
(A) 1 (B) 2 (C) 3 (D) 4
GATE 2016 Civil Engineering Set-2
CE(2) 1/15
Q. 1 ? Q. 25 carry one mark each
Q.1 The spot speeds (expressed in km/hr) observed at a road section are 66, 62, 45, 79, 32, 51, 56, 60,
53, and 49. The median speed (expressed in km/hr) is _________
(Note: answer with one decimal accuracy)
Q.2 The optimum value of the function f(x) = x
2
? 4x +2 is
(A) 2 (maximum) (B) 2 (minimum) (C) ?2 (maximum) (D) ?2 (minimum)
Q.3 The Fourier series of the function,
???? ( ???? ) = 0, ? ???? < ???? ? 0
= ???? ? ???? , 0 < ???? < ????
in the interval [? ???? , ???? ] is
???? ( ???? ) =
???? 4
+
2
???? ?
cos ???? 1
2
+
cos 3 ???? 3
2
+ ? ? ? ? + ?
sin ???? 1
+
sin 2 ???? 2
+
sin 3 ???? 3
+ ? ? . ?.
The convergence of the above Fourier series at ???? = 0 gives
(A)
6
1
2
1
2
?
=
?
?
= n
n
(B)
12
) 1 (
2
1
2
1
?
=
?
?
?
=
+
n
n
n
(C)
8 ) 1 2 (
1
2
1
2
?
=
?
?
?
= n
n
(D)
4 1 2
) 1 (
1
1
?
=
?
?
?
?
=
+
n
n
n
Q.4
X and Y are two random independent events. It is known that ( ) 40 . 0 = X P and
( ) . 7 . 0 = ?
C
Y X P Which one of the following is the value of ( ) Y X P ?
?
(A) 0.7 (B) 0.5 (C) 0.4 (D) 0.3
Q.5
What is the value of
22
0
0
lim
x
y
xy
xy
?
?
+
?
(A) 1 (B) ?1 (C) 0 (D) Limit does not exist
Q.6 The kinematic indeterminacy of the plane truss shown in the figure is
(A) 11 (B) 8 (C) 3 (D) 0
GATE 2016 Civil Engineering Set-2
CE(2) 2/15
Q.7 As per IS 456-2000 for the design of reinforced concrete beam, the maximum allowable shear
stress ( )
max c
? depends on the
(A) grade of concrete and grade of steel
(B) grade of concrete only
(C) grade of steel only
(D) grade of concrete and percentage of reinforcement
Q.8 An assembly made of a rigid arm A-B-C hinged at end A and supported by an elastic rope C-D at
end C is shown in the figure. The members may be assumed to be weightless and the lengths of the
respective members are as shown in the figure.
Under the action of a concentrated load P at C as shown, the magnitude of tension developed in the
rope is
(A)
2
3P
(B)
2
P
(C)
8
3P
(D) P 2
Q.9 As per Indian standards for bricks, minimum acceptable compressive strength of any class of burnt
clay bricks in dry state is
(A) 10.0 MPa (B) 7.5 MPa (C) 5.0 MPa (D) 3.5 MPa
B
P
L L
L
A D
C
Rope
Rigid arm
L
GATE 2016 Civil Engineering Set-2
CE(2) 3/15
Q.10 A construction project consists of twelve activities. The estimated duration (in days) required to
complete each of the activities along with the corresponding network diagram is shown below.
Activity Duration (days) Activity Duration (days)
A Inauguration 1 G Flooring 25
B Foundation work 7 H Electrification 7
C Structural construction-1 30 I Plumbing 7
D Structural construction-2 30 J Wood work 7
E Brick masonry work 25 K Coloring 3
F Plastering 7 L Handing over function 1
Total floats (in days) for the activities 5-7 and 11-12 for the project are, respectively,
(A) 25 and 1
(B) 1 and 1
(C) 0 and 0
(D) 81 and 0
Q.11 A strip footing is resting on the surface of a purely clayey soil deposit. If the width of the footing is
doubled, the ultimate bearing capacity of the soil
(A) becomes double (B) becomes half (C) becomes four-times (D) remains the same
Q.12 The relationship between the specific gravity of sand (G) and the hydraulic gradient (i) to initiate
quick condition in the sand layer having porosity of 30% is
(A) G = 0.7i + 1 (B) G = 1.43i ? 1
(C) G = 1.43i + 1 (D) G = 0.7i ? 1
Q.13 The results of a consolidation test on an undisturbed soil, sampled at a depth of 10 m below the
ground level are as follows:
Saturated unit weight : 16 kN/m
3
Pre-consolidation pressure : 90 kPa
The water table was encountered at the ground level. Assuming the unit weight of water as 10
kN/m
3
, the over-consolidation ratio of the soil is
(A) 0.67
(B) 1.50 (C) 1.77 (D) 2.00
1 2 3
4 6 8
10 11 12
5 7 9
A B K L
C J
D I
E F
G H
GATE 2016 Civil Engineering Set-2
CE(2) 4/15
Q.14 Profile of a weir on permeable foundation is shown in figure I and an elementary profile of
'upstream pile only case' according to Khosla's theory is shown in figure II. The uplift pressure
heads at key points Q, R and S are 3.14 m, 2.75 m and 0 m, respectively (refer figure II).
What is the uplift pressure head at point P downstream of the weir (junction of floor and pile as
shown in the figure I)?
(A) 2.75 m (B) 1.25 m (C) 0.8 m (D) Data not sufficient
Q.15 Water table of an aquifer drops by 100 cm over an area of 1000 km
2
. The porosity and specific
retention of the aquifer material are 25% and 5%, respectively. The amount of water (expressed in
km
3
) drained out from the area is _________
10 m 5 m 25 m
P
Weir
Gate
Floor
1 m
3 m
5 m
40 m
S
4 m
5 m
R
Q
Figure I
Figure II
GATE 2016 Civil Engineering Set-2
CE(2) 5/15
Q.16 Group I contains the types of fluids while Group II contains the shear stress - rate of shear
relationship of different types of fluids, as shown in the figure.
Group I Group II
P. Newtonian fluid 1. Curve 1
Q. Pseudo plastic fluid 2. Curve 2
R. Plastic fluid 3. Curve 3
S. Dilatant fluid 4. Curve 4
5. Curve 5
The correct match between Group I and Group II is
(A) P-2, Q-4, R-1, S-5 (B) P-2, Q-5, R-4, S-1
(C) P-2, Q-4, R-5, S-3 (D) P-2, Q-1, R-3, S-4
Q.17 The atmospheric layer closest to the earth surface is
(A) the mesosphere (B) the stratosphere
(C) the thermosphere (D) the troposphere
Q.18 A water supply board is responsible for treating 1500 m
3
/day of water. A settling column analysis
indicates that an overflow rate of 20 m/day will produce satisfactory removal for a depth of 3.1 m.
It is decided to have two circular settling tanks in parallel. The required diameter (expressed in m)
of the settling tanks is __________
Q.19 The hardness of a ground water sample was found to be 420 mg/L as CaCO
3
. A softener containing
ion exchange resins was installed to reduce the total hardness to 75 mg/L as CaCO
3
before
supplying to 4 households. Each household gets treated water at a rate of 540 L/day. If the
efficiency of the softener is 100%, the bypass flow rate (expressed in L/day) is _________
Q.20 The sound pressure (expressed in ?Pa) of the faintest sound that a normal healthy individual can
hear is
(A) 0.2 (B) 2 (C) 20 (D) 55
Q.21 In the context of the IRC 58-2011 guidelines for rigid pavement design, consider the following pair
of statements.
I: Radius of relative stiffness is directly related to modulus of elasticity of concrete and inversely
related to Poisson's ratio
II: Radius of relative stiffness is directly related to thickness of slab and modulus of subgrade
reaction.
Which one of the following combinations is correct?
(A) I: True; II: True (B) I: False; II: False
(C) I: True; II: False (D) I: False; II: True
Q.22 If the total number of commercial vehicles per day ranges from 3000 to 6000, the minimum
percentage of commercial traffic to be surveyed for axle load is
(A) 15 (B) 20 (C) 25 (D) 30
Rate of shear
Shear stress Yield stress
2
3
4
5
1
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GATE 2016 General Aptitude ? GA Set-7
1/3
Q. 1 ? Q. 5 carry one mark each.
Q.1 If I were you, I __________ that laptop. It?s much too expensive.
(A) won?t buy (B) shan?t buy
(C) wouldn?t buy (D) would buy
Q.2 He turned a deaf ear to my request.
What does the underlined phrasal verb mean?
(A) ignored (B) appreciated (C) twisted (D) returned
Q.3 Choose the most appropriate set of words from the options given below to complete the following
sentence.
_________ ___________ is a will, _________ is a way.
(A) Wear, there, their (B) Were, their, there
(C) Where, there, there (D) Where, their, their
Q.4 (x % of y) + (y % of x) is equivalent to .
(A) 2 % of xy (B) 2 % of (xy/100) (C) xy % of 100 (D) 100 % of xy
Q.5 The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits
is greater than the original number by 54, find the original number.
(A) 39 (B) 57 (C) 66 (D) 93
GATE 2016 General Aptitude ? GA Set-7
2/3
Q. 6 ? Q. 10 carry two marks each.
Q.6 Two finance companies, P and Q, declared fixed annual rates of interest on the amounts invested
with them. The rates of interest offered by these companies may differ from year to year. Year-wise
annual rates of interest offered by these companies are shown by the line graph provided below.
If the amounts invested in the companies, P and Q, in 2006 are in the ratio 8:9, then the amounts
received after one year as interests from companies P and Q would be in the ratio:
(A) 2:3
(B) 3:4
(C) 6:7
(D) 4:3
Q.7 Today, we consider Ashoka as a great ruler because of the copious evidence he left behind in the
form of stone carved edicts. Historians tend to correlate greatness of a king at his time with the
availability of evidence today.
Which of the following can be logically inferred from the above sentences?
(A) Emperors who do not leave significant sculpted evidence are completely forgotten.
(B) Ashoka produced stone carved edicts to ensure that later historians will respect him.
(C) Statues of kings are a reminder of their greatness.
(D) A king?s greatness, as we know him today, is interpreted by historians.
7
9
8
10
7.5
6.5
6
6.5
8
9.5
8
9
8
4
2000 2001 2002 2003 2004 2005 2006
P Q
GATE 2016 General Aptitude ? GA Set-7
3/3
Q.8 Fact 1: Humans are mammals.
Fact 2: Some humans are engineers.
Fact 3: Engineers build houses.
If the above statements are facts, which of the following can be logically inferred?
I. All mammals build houses.
II. Engineers are mammals.
III. Some humans are not engineers.
(A) II only. (B) III only.
(C) I, II and III. (D) I only.
Q.9 A square pyramid has a base perimeter x, and the slant height is half of the perimeter. What is the
lateral surface area of the pyramid?
(A) x
2
(B) 0.75 x
2
(C) 0.50 x
2
(D) 0.25 x
2
END OF THE QUESTION PAPER
Q.10 Ananth takes 6 hours and Bharath takes 4 hours to read a book. Both started reading copies of the
book at the same time. After how many hours is the number of pages to be read by Ananth, twice
that to be read by Bharath? Assume Ananth and Bharath read all the pages with constant pace.
(A) 1 (B) 2 (C) 3 (D) 4
GATE 2016 Civil Engineering Set-2
CE(2) 1/15
Q. 1 ? Q. 25 carry one mark each
Q.1 The spot speeds (expressed in km/hr) observed at a road section are 66, 62, 45, 79, 32, 51, 56, 60,
53, and 49. The median speed (expressed in km/hr) is _________
(Note: answer with one decimal accuracy)
Q.2 The optimum value of the function f(x) = x
2
? 4x +2 is
(A) 2 (maximum) (B) 2 (minimum) (C) ?2 (maximum) (D) ?2 (minimum)
Q.3 The Fourier series of the function,
???? ( ???? ) = 0, ? ???? < ???? ? 0
= ???? ? ???? , 0 < ???? < ????
in the interval [? ???? , ???? ] is
???? ( ???? ) =
???? 4
+
2
???? ?
cos ???? 1
2
+
cos 3 ???? 3
2
+ ? ? ? ? + ?
sin ???? 1
+
sin 2 ???? 2
+
sin 3 ???? 3
+ ? ? . ?.
The convergence of the above Fourier series at ???? = 0 gives
(A)
6
1
2
1
2
?
=
?
?
= n
n
(B)
12
) 1 (
2
1
2
1
?
=
?
?
?
=
+
n
n
n
(C)
8 ) 1 2 (
1
2
1
2
?
=
?
?
?
= n
n
(D)
4 1 2
) 1 (
1
1
?
=
?
?
?
?
=
+
n
n
n
Q.4
X and Y are two random independent events. It is known that ( ) 40 . 0 = X P and
( ) . 7 . 0 = ?
C
Y X P Which one of the following is the value of ( ) Y X P ?
?
(A) 0.7 (B) 0.5 (C) 0.4 (D) 0.3
Q.5
What is the value of
22
0
0
lim
x
y
xy
xy
?
?
+
?
(A) 1 (B) ?1 (C) 0 (D) Limit does not exist
Q.6 The kinematic indeterminacy of the plane truss shown in the figure is
(A) 11 (B) 8 (C) 3 (D) 0
GATE 2016 Civil Engineering Set-2
CE(2) 2/15
Q.7 As per IS 456-2000 for the design of reinforced concrete beam, the maximum allowable shear
stress ( )
max c
? depends on the
(A) grade of concrete and grade of steel
(B) grade of concrete only
(C) grade of steel only
(D) grade of concrete and percentage of reinforcement
Q.8 An assembly made of a rigid arm A-B-C hinged at end A and supported by an elastic rope C-D at
end C is shown in the figure. The members may be assumed to be weightless and the lengths of the
respective members are as shown in the figure.
Under the action of a concentrated load P at C as shown, the magnitude of tension developed in the
rope is
(A)
2
3P
(B)
2
P
(C)
8
3P
(D) P 2
Q.9 As per Indian standards for bricks, minimum acceptable compressive strength of any class of burnt
clay bricks in dry state is
(A) 10.0 MPa (B) 7.5 MPa (C) 5.0 MPa (D) 3.5 MPa
B
P
L L
L
A D
C
Rope
Rigid arm
L
GATE 2016 Civil Engineering Set-2
CE(2) 3/15
Q.10 A construction project consists of twelve activities. The estimated duration (in days) required to
complete each of the activities along with the corresponding network diagram is shown below.
Activity Duration (days) Activity Duration (days)
A Inauguration 1 G Flooring 25
B Foundation work 7 H Electrification 7
C Structural construction-1 30 I Plumbing 7
D Structural construction-2 30 J Wood work 7
E Brick masonry work 25 K Coloring 3
F Plastering 7 L Handing over function 1
Total floats (in days) for the activities 5-7 and 11-12 for the project are, respectively,
(A) 25 and 1
(B) 1 and 1
(C) 0 and 0
(D) 81 and 0
Q.11 A strip footing is resting on the surface of a purely clayey soil deposit. If the width of the footing is
doubled, the ultimate bearing capacity of the soil
(A) becomes double (B) becomes half (C) becomes four-times (D) remains the same
Q.12 The relationship between the specific gravity of sand (G) and the hydraulic gradient (i) to initiate
quick condition in the sand layer having porosity of 30% is
(A) G = 0.7i + 1 (B) G = 1.43i ? 1
(C) G = 1.43i + 1 (D) G = 0.7i ? 1
Q.13 The results of a consolidation test on an undisturbed soil, sampled at a depth of 10 m below the
ground level are as follows:
Saturated unit weight : 16 kN/m
3
Pre-consolidation pressure : 90 kPa
The water table was encountered at the ground level. Assuming the unit weight of water as 10
kN/m
3
, the over-consolidation ratio of the soil is
(A) 0.67
(B) 1.50 (C) 1.77 (D) 2.00
1 2 3
4 6 8
10 11 12
5 7 9
A B K L
C J
D I
E F
G H
GATE 2016 Civil Engineering Set-2
CE(2) 4/15
Q.14 Profile of a weir on permeable foundation is shown in figure I and an elementary profile of
'upstream pile only case' according to Khosla's theory is shown in figure II. The uplift pressure
heads at key points Q, R and S are 3.14 m, 2.75 m and 0 m, respectively (refer figure II).
What is the uplift pressure head at point P downstream of the weir (junction of floor and pile as
shown in the figure I)?
(A) 2.75 m (B) 1.25 m (C) 0.8 m (D) Data not sufficient
Q.15 Water table of an aquifer drops by 100 cm over an area of 1000 km
2
. The porosity and specific
retention of the aquifer material are 25% and 5%, respectively. The amount of water (expressed in
km
3
) drained out from the area is _________
10 m 5 m 25 m
P
Weir
Gate
Floor
1 m
3 m
5 m
40 m
S
4 m
5 m
R
Q
Figure I
Figure II
GATE 2016 Civil Engineering Set-2
CE(2) 5/15
Q.16 Group I contains the types of fluids while Group II contains the shear stress - rate of shear
relationship of different types of fluids, as shown in the figure.
Group I Group II
P. Newtonian fluid 1. Curve 1
Q. Pseudo plastic fluid 2. Curve 2
R. Plastic fluid 3. Curve 3
S. Dilatant fluid 4. Curve 4
5. Curve 5
The correct match between Group I and Group II is
(A) P-2, Q-4, R-1, S-5 (B) P-2, Q-5, R-4, S-1
(C) P-2, Q-4, R-5, S-3 (D) P-2, Q-1, R-3, S-4
Q.17 The atmospheric layer closest to the earth surface is
(A) the mesosphere (B) the stratosphere
(C) the thermosphere (D) the troposphere
Q.18 A water supply board is responsible for treating 1500 m
3
/day of water. A settling column analysis
indicates that an overflow rate of 20 m/day will produce satisfactory removal for a depth of 3.1 m.
It is decided to have two circular settling tanks in parallel. The required diameter (expressed in m)
of the settling tanks is __________
Q.19 The hardness of a ground water sample was found to be 420 mg/L as CaCO
3
. A softener containing
ion exchange resins was installed to reduce the total hardness to 75 mg/L as CaCO
3
before
supplying to 4 households. Each household gets treated water at a rate of 540 L/day. If the
efficiency of the softener is 100%, the bypass flow rate (expressed in L/day) is _________
Q.20 The sound pressure (expressed in ?Pa) of the faintest sound that a normal healthy individual can
hear is
(A) 0.2 (B) 2 (C) 20 (D) 55
Q.21 In the context of the IRC 58-2011 guidelines for rigid pavement design, consider the following pair
of statements.
I: Radius of relative stiffness is directly related to modulus of elasticity of concrete and inversely
related to Poisson's ratio
II: Radius of relative stiffness is directly related to thickness of slab and modulus of subgrade
reaction.
Which one of the following combinations is correct?
(A) I: True; II: True (B) I: False; II: False
(C) I: True; II: False (D) I: False; II: True
Q.22 If the total number of commercial vehicles per day ranges from 3000 to 6000, the minimum
percentage of commercial traffic to be surveyed for axle load is
(A) 15 (B) 20 (C) 25 (D) 30
Rate of shear
Shear stress Yield stress
2
3
4
5
1
GATE 2016 Civil Engineering Set-2
CE(2) 6/15
Q.23 Optimal flight planning for a photogrammetric survey should be carried out considering
(A) only side-lap
(B) only end-lap
(C) either side-lap or end-lap
(D) both side-lap as well as end-lap
Q.24 The reduced bearing of a 10 m long line is N30?E. The departure of the line is
(A) 10.00 m (B) 8.66 m (C) 7.52 m (D) 5.00 m
Q.25 A circular curve of radius R connects two straights with a deflection angle of 60?. The tangent
length is
(A) 0.577 R (B) 1.155 R (C) 1.732 R (D) 3.464 R
Q. 26 ? Q. 55 carry two marks each
Q.26 Consider the following linear system.
???? + 2 ???? ? 3 ???? = ????
2 ???? + 3 ???? + 3 ???? = ????
5 ???? + 9 ???? ? 6 ???? = ????
This system is consistent if ???? , ???? and ???? satisfy the equation
(A) 7 ???? ? ???? ? ???? = 0 (B) 3 ???? + ???? ? ???? = 0 (C) 3 ???? ? ???? + ???? = 0 (D) 7 ???? ? ???? + ???? = 0
Q.27 If ???? ( ???? ) and ???? ( ???? ) are two probability density functions,
???? ( ???? ) =
?
?
?
?
?
???? ???? + 1 ? ? ???? ? ???? < 0
?
???? ???? + 1 ? 0 ? ???? ? ???? 0 ? ???????? ? ????????????????????????
???? ( ???? ) =
?
?
?
?
? ?
???? ???? ? ? ???? ? ???? < 0
???? ???? ? 0 ? ???? ? ???? 0 ? ???????? ? ????????????????????????
Which one of the following statements is true?
(A) Mean of ???? ( ???? ) and ???? ( ???? ) are same; Variance of ???? ( ???? ) and ???? ( ???? ) are same
(B) Mean of ???? ( ???? ) and ???? ( ???? ) are same; Variance of ???? ( ???? ) and ???? ( ???? ) are different
(C) Mean of ???? ( ???? ) and ???? ( ???? ) are different; Variance of ???? ( ???? ) and ???? ( ???? ) are same
(D) Mean of ???? ( ???? ) and ???? ( ???? ) are different; Variance of ???? ( ???? ) and ???? ( ???? ) are different
Q.28 The angle of intersection of the curves ???? 2
= 4 ???? and ???? 2
= 4 ???? at point (0, 0) is
(A) 0
o
(B) 30
o
(C) 45
o
(D) 90
o
FirstRanker.com - FirstRanker's Choice
GATE 2016 General Aptitude ? GA Set-7
1/3
Q. 1 ? Q. 5 carry one mark each.
Q.1 If I were you, I __________ that laptop. It?s much too expensive.
(A) won?t buy (B) shan?t buy
(C) wouldn?t buy (D) would buy
Q.2 He turned a deaf ear to my request.
What does the underlined phrasal verb mean?
(A) ignored (B) appreciated (C) twisted (D) returned
Q.3 Choose the most appropriate set of words from the options given below to complete the following
sentence.
_________ ___________ is a will, _________ is a way.
(A) Wear, there, their (B) Were, their, there
(C) Where, there, there (D) Where, their, their
Q.4 (x % of y) + (y % of x) is equivalent to .
(A) 2 % of xy (B) 2 % of (xy/100) (C) xy % of 100 (D) 100 % of xy
Q.5 The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits
is greater than the original number by 54, find the original number.
(A) 39 (B) 57 (C) 66 (D) 93
GATE 2016 General Aptitude ? GA Set-7
2/3
Q. 6 ? Q. 10 carry two marks each.
Q.6 Two finance companies, P and Q, declared fixed annual rates of interest on the amounts invested
with them. The rates of interest offered by these companies may differ from year to year. Year-wise
annual rates of interest offered by these companies are shown by the line graph provided below.
If the amounts invested in the companies, P and Q, in 2006 are in the ratio 8:9, then the amounts
received after one year as interests from companies P and Q would be in the ratio:
(A) 2:3
(B) 3:4
(C) 6:7
(D) 4:3
Q.7 Today, we consider Ashoka as a great ruler because of the copious evidence he left behind in the
form of stone carved edicts. Historians tend to correlate greatness of a king at his time with the
availability of evidence today.
Which of the following can be logically inferred from the above sentences?
(A) Emperors who do not leave significant sculpted evidence are completely forgotten.
(B) Ashoka produced stone carved edicts to ensure that later historians will respect him.
(C) Statues of kings are a reminder of their greatness.
(D) A king?s greatness, as we know him today, is interpreted by historians.
7
9
8
10
7.5
6.5
6
6.5
8
9.5
8
9
8
4
2000 2001 2002 2003 2004 2005 2006
P Q
GATE 2016 General Aptitude ? GA Set-7
3/3
Q.8 Fact 1: Humans are mammals.
Fact 2: Some humans are engineers.
Fact 3: Engineers build houses.
If the above statements are facts, which of the following can be logically inferred?
I. All mammals build houses.
II. Engineers are mammals.
III. Some humans are not engineers.
(A) II only. (B) III only.
(C) I, II and III. (D) I only.
Q.9 A square pyramid has a base perimeter x, and the slant height is half of the perimeter. What is the
lateral surface area of the pyramid?
(A) x
2
(B) 0.75 x
2
(C) 0.50 x
2
(D) 0.25 x
2
END OF THE QUESTION PAPER
Q.10 Ananth takes 6 hours and Bharath takes 4 hours to read a book. Both started reading copies of the
book at the same time. After how many hours is the number of pages to be read by Ananth, twice
that to be read by Bharath? Assume Ananth and Bharath read all the pages with constant pace.
(A) 1 (B) 2 (C) 3 (D) 4
GATE 2016 Civil Engineering Set-2
CE(2) 1/15
Q. 1 ? Q. 25 carry one mark each
Q.1 The spot speeds (expressed in km/hr) observed at a road section are 66, 62, 45, 79, 32, 51, 56, 60,
53, and 49. The median speed (expressed in km/hr) is _________
(Note: answer with one decimal accuracy)
Q.2 The optimum value of the function f(x) = x
2
? 4x +2 is
(A) 2 (maximum) (B) 2 (minimum) (C) ?2 (maximum) (D) ?2 (minimum)
Q.3 The Fourier series of the function,
???? ( ???? ) = 0, ? ???? < ???? ? 0
= ???? ? ???? , 0 < ???? < ????
in the interval [? ???? , ???? ] is
???? ( ???? ) =
???? 4
+
2
???? ?
cos ???? 1
2
+
cos 3 ???? 3
2
+ ? ? ? ? + ?
sin ???? 1
+
sin 2 ???? 2
+
sin 3 ???? 3
+ ? ? . ?.
The convergence of the above Fourier series at ???? = 0 gives
(A)
6
1
2
1
2
?
=
?
?
= n
n
(B)
12
) 1 (
2
1
2
1
?
=
?
?
?
=
+
n
n
n
(C)
8 ) 1 2 (
1
2
1
2
?
=
?
?
?
= n
n
(D)
4 1 2
) 1 (
1
1
?
=
?
?
?
?
=
+
n
n
n
Q.4
X and Y are two random independent events. It is known that ( ) 40 . 0 = X P and
( ) . 7 . 0 = ?
C
Y X P Which one of the following is the value of ( ) Y X P ?
?
(A) 0.7 (B) 0.5 (C) 0.4 (D) 0.3
Q.5
What is the value of
22
0
0
lim
x
y
xy
xy
?
?
+
?
(A) 1 (B) ?1 (C) 0 (D) Limit does not exist
Q.6 The kinematic indeterminacy of the plane truss shown in the figure is
(A) 11 (B) 8 (C) 3 (D) 0
GATE 2016 Civil Engineering Set-2
CE(2) 2/15
Q.7 As per IS 456-2000 for the design of reinforced concrete beam, the maximum allowable shear
stress ( )
max c
? depends on the
(A) grade of concrete and grade of steel
(B) grade of concrete only
(C) grade of steel only
(D) grade of concrete and percentage of reinforcement
Q.8 An assembly made of a rigid arm A-B-C hinged at end A and supported by an elastic rope C-D at
end C is shown in the figure. The members may be assumed to be weightless and the lengths of the
respective members are as shown in the figure.
Under the action of a concentrated load P at C as shown, the magnitude of tension developed in the
rope is
(A)
2
3P
(B)
2
P
(C)
8
3P
(D) P 2
Q.9 As per Indian standards for bricks, minimum acceptable compressive strength of any class of burnt
clay bricks in dry state is
(A) 10.0 MPa (B) 7.5 MPa (C) 5.0 MPa (D) 3.5 MPa
B
P
L L
L
A D
C
Rope
Rigid arm
L
GATE 2016 Civil Engineering Set-2
CE(2) 3/15
Q.10 A construction project consists of twelve activities. The estimated duration (in days) required to
complete each of the activities along with the corresponding network diagram is shown below.
Activity Duration (days) Activity Duration (days)
A Inauguration 1 G Flooring 25
B Foundation work 7 H Electrification 7
C Structural construction-1 30 I Plumbing 7
D Structural construction-2 30 J Wood work 7
E Brick masonry work 25 K Coloring 3
F Plastering 7 L Handing over function 1
Total floats (in days) for the activities 5-7 and 11-12 for the project are, respectively,
(A) 25 and 1
(B) 1 and 1
(C) 0 and 0
(D) 81 and 0
Q.11 A strip footing is resting on the surface of a purely clayey soil deposit. If the width of the footing is
doubled, the ultimate bearing capacity of the soil
(A) becomes double (B) becomes half (C) becomes four-times (D) remains the same
Q.12 The relationship between the specific gravity of sand (G) and the hydraulic gradient (i) to initiate
quick condition in the sand layer having porosity of 30% is
(A) G = 0.7i + 1 (B) G = 1.43i ? 1
(C) G = 1.43i + 1 (D) G = 0.7i ? 1
Q.13 The results of a consolidation test on an undisturbed soil, sampled at a depth of 10 m below the
ground level are as follows:
Saturated unit weight : 16 kN/m
3
Pre-consolidation pressure : 90 kPa
The water table was encountered at the ground level. Assuming the unit weight of water as 10
kN/m
3
, the over-consolidation ratio of the soil is
(A) 0.67
(B) 1.50 (C) 1.77 (D) 2.00
1 2 3
4 6 8
10 11 12
5 7 9
A B K L
C J
D I
E F
G H
GATE 2016 Civil Engineering Set-2
CE(2) 4/15
Q.14 Profile of a weir on permeable foundation is shown in figure I and an elementary profile of
'upstream pile only case' according to Khosla's theory is shown in figure II. The uplift pressure
heads at key points Q, R and S are 3.14 m, 2.75 m and 0 m, respectively (refer figure II).
What is the uplift pressure head at point P downstream of the weir (junction of floor and pile as
shown in the figure I)?
(A) 2.75 m (B) 1.25 m (C) 0.8 m (D) Data not sufficient
Q.15 Water table of an aquifer drops by 100 cm over an area of 1000 km
2
. The porosity and specific
retention of the aquifer material are 25% and 5%, respectively. The amount of water (expressed in
km
3
) drained out from the area is _________
10 m 5 m 25 m
P
Weir
Gate
Floor
1 m
3 m
5 m
40 m
S
4 m
5 m
R
Q
Figure I
Figure II
GATE 2016 Civil Engineering Set-2
CE(2) 5/15
Q.16 Group I contains the types of fluids while Group II contains the shear stress - rate of shear
relationship of different types of fluids, as shown in the figure.
Group I Group II
P. Newtonian fluid 1. Curve 1
Q. Pseudo plastic fluid 2. Curve 2
R. Plastic fluid 3. Curve 3
S. Dilatant fluid 4. Curve 4
5. Curve 5
The correct match between Group I and Group II is
(A) P-2, Q-4, R-1, S-5 (B) P-2, Q-5, R-4, S-1
(C) P-2, Q-4, R-5, S-3 (D) P-2, Q-1, R-3, S-4
Q.17 The atmospheric layer closest to the earth surface is
(A) the mesosphere (B) the stratosphere
(C) the thermosphere (D) the troposphere
Q.18 A water supply board is responsible for treating 1500 m
3
/day of water. A settling column analysis
indicates that an overflow rate of 20 m/day will produce satisfactory removal for a depth of 3.1 m.
It is decided to have two circular settling tanks in parallel. The required diameter (expressed in m)
of the settling tanks is __________
Q.19 The hardness of a ground water sample was found to be 420 mg/L as CaCO
3
. A softener containing
ion exchange resins was installed to reduce the total hardness to 75 mg/L as CaCO
3
before
supplying to 4 households. Each household gets treated water at a rate of 540 L/day. If the
efficiency of the softener is 100%, the bypass flow rate (expressed in L/day) is _________
Q.20 The sound pressure (expressed in ?Pa) of the faintest sound that a normal healthy individual can
hear is
(A) 0.2 (B) 2 (C) 20 (D) 55
Q.21 In the context of the IRC 58-2011 guidelines for rigid pavement design, consider the following pair
of statements.
I: Radius of relative stiffness is directly related to modulus of elasticity of concrete and inversely
related to Poisson's ratio
II: Radius of relative stiffness is directly related to thickness of slab and modulus of subgrade
reaction.
Which one of the following combinations is correct?
(A) I: True; II: True (B) I: False; II: False
(C) I: True; II: False (D) I: False; II: True
Q.22 If the total number of commercial vehicles per day ranges from 3000 to 6000, the minimum
percentage of commercial traffic to be surveyed for axle load is
(A) 15 (B) 20 (C) 25 (D) 30
Rate of shear
Shear stress Yield stress
2
3
4
5
1
GATE 2016 Civil Engineering Set-2
CE(2) 6/15
Q.23 Optimal flight planning for a photogrammetric survey should be carried out considering
(A) only side-lap
(B) only end-lap
(C) either side-lap or end-lap
(D) both side-lap as well as end-lap
Q.24 The reduced bearing of a 10 m long line is N30?E. The departure of the line is
(A) 10.00 m (B) 8.66 m (C) 7.52 m (D) 5.00 m
Q.25 A circular curve of radius R connects two straights with a deflection angle of 60?. The tangent
length is
(A) 0.577 R (B) 1.155 R (C) 1.732 R (D) 3.464 R
Q. 26 ? Q. 55 carry two marks each
Q.26 Consider the following linear system.
???? + 2 ???? ? 3 ???? = ????
2 ???? + 3 ???? + 3 ???? = ????
5 ???? + 9 ???? ? 6 ???? = ????
This system is consistent if ???? , ???? and ???? satisfy the equation
(A) 7 ???? ? ???? ? ???? = 0 (B) 3 ???? + ???? ? ???? = 0 (C) 3 ???? ? ???? + ???? = 0 (D) 7 ???? ? ???? + ???? = 0
Q.27 If ???? ( ???? ) and ???? ( ???? ) are two probability density functions,
???? ( ???? ) =
?
?
?
?
?
???? ???? + 1 ? ? ???? ? ???? < 0
?
???? ???? + 1 ? 0 ? ???? ? ???? 0 ? ???????? ? ????????????????????????
???? ( ???? ) =
?
?
?
?
? ?
???? ???? ? ? ???? ? ???? < 0
???? ???? ? 0 ? ???? ? ???? 0 ? ???????? ? ????????????????????????
Which one of the following statements is true?
(A) Mean of ???? ( ???? ) and ???? ( ???? ) are same; Variance of ???? ( ???? ) and ???? ( ???? ) are same
(B) Mean of ???? ( ???? ) and ???? ( ???? ) are same; Variance of ???? ( ???? ) and ???? ( ???? ) are different
(C) Mean of ???? ( ???? ) and ???? ( ???? ) are different; Variance of ???? ( ???? ) and ???? ( ???? ) are same
(D) Mean of ???? ( ???? ) and ???? ( ???? ) are different; Variance of ???? ( ???? ) and ???? ( ???? ) are different
Q.28 The angle of intersection of the curves ???? 2
= 4 ???? and ???? 2
= 4 ???? at point (0, 0) is
(A) 0
o
(B) 30
o
(C) 45
o
(D) 90
o
GATE 2016 Civil Engineering Set-2
CE(2) 7/15
Q.29 The area between the parabola ???? 2
= 8 ???? and the straight line y = 8 is _________.
Q.30 The quadratic approximation of ???? ( ???? ) = ???? 3
? 3 ???? 2
? 5 at the point ???? = 0 is
(A) 3 ???? 2
? 6 ???? ? 5 (B) ?3 ???? 2
? 5
(C) ?3 ???? 2
+ 6 ???? ? 5 (D) 3 ???? 2
? 5
Q.31 An elastic isotropic body is in a hydrostatic state of stress as shown in the figure. For no change in
the volume to occur, what should be its Poisson's ratio?
(A) 0.00 (B) 0.25 (C) 0.50 (D) 1.00
Q.32 For the stress state (in MPa) shown in the figure, the major principal stress is 10 MPa.
The shear stress ? is
(A) 10.0 MPa (B) 5.0 MPa (C) 2.5 MPa (D) 0.0 MPa
5
5
5
5
?
?
y
?
x
?
z
FirstRanker.com - FirstRanker's Choice
GATE 2016 General Aptitude ? GA Set-7
1/3
Q. 1 ? Q. 5 carry one mark each.
Q.1 If I were you, I __________ that laptop. It?s much too expensive.
(A) won?t buy (B) shan?t buy
(C) wouldn?t buy (D) would buy
Q.2 He turned a deaf ear to my request.
What does the underlined phrasal verb mean?
(A) ignored (B) appreciated (C) twisted (D) returned
Q.3 Choose the most appropriate set of words from the options given below to complete the following
sentence.
_________ ___________ is a will, _________ is a way.
(A) Wear, there, their (B) Were, their, there
(C) Where, there, there (D) Where, their, their
Q.4 (x % of y) + (y % of x) is equivalent to .
(A) 2 % of xy (B) 2 % of (xy/100) (C) xy % of 100 (D) 100 % of xy
Q.5 The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits
is greater than the original number by 54, find the original number.
(A) 39 (B) 57 (C) 66 (D) 93
GATE 2016 General Aptitude ? GA Set-7
2/3
Q. 6 ? Q. 10 carry two marks each.
Q.6 Two finance companies, P and Q, declared fixed annual rates of interest on the amounts invested
with them. The rates of interest offered by these companies may differ from year to year. Year-wise
annual rates of interest offered by these companies are shown by the line graph provided below.
If the amounts invested in the companies, P and Q, in 2006 are in the ratio 8:9, then the amounts
received after one year as interests from companies P and Q would be in the ratio:
(A) 2:3
(B) 3:4
(C) 6:7
(D) 4:3
Q.7 Today, we consider Ashoka as a great ruler because of the copious evidence he left behind in the
form of stone carved edicts. Historians tend to correlate greatness of a king at his time with the
availability of evidence today.
Which of the following can be logically inferred from the above sentences?
(A) Emperors who do not leave significant sculpted evidence are completely forgotten.
(B) Ashoka produced stone carved edicts to ensure that later historians will respect him.
(C) Statues of kings are a reminder of their greatness.
(D) A king?s greatness, as we know him today, is interpreted by historians.
7
9
8
10
7.5
6.5
6
6.5
8
9.5
8
9
8
4
2000 2001 2002 2003 2004 2005 2006
P Q
GATE 2016 General Aptitude ? GA Set-7
3/3
Q.8 Fact 1: Humans are mammals.
Fact 2: Some humans are engineers.
Fact 3: Engineers build houses.
If the above statements are facts, which of the following can be logically inferred?
I. All mammals build houses.
II. Engineers are mammals.
III. Some humans are not engineers.
(A) II only. (B) III only.
(C) I, II and III. (D) I only.
Q.9 A square pyramid has a base perimeter x, and the slant height is half of the perimeter. What is the
lateral surface area of the pyramid?
(A) x
2
(B) 0.75 x
2
(C) 0.50 x
2
(D) 0.25 x
2
END OF THE QUESTION PAPER
Q.10 Ananth takes 6 hours and Bharath takes 4 hours to read a book. Both started reading copies of the
book at the same time. After how many hours is the number of pages to be read by Ananth, twice
that to be read by Bharath? Assume Ananth and Bharath read all the pages with constant pace.
(A) 1 (B) 2 (C) 3 (D) 4
GATE 2016 Civil Engineering Set-2
CE(2) 1/15
Q. 1 ? Q. 25 carry one mark each
Q.1 The spot speeds (expressed in km/hr) observed at a road section are 66, 62, 45, 79, 32, 51, 56, 60,
53, and 49. The median speed (expressed in km/hr) is _________
(Note: answer with one decimal accuracy)
Q.2 The optimum value of the function f(x) = x
2
? 4x +2 is
(A) 2 (maximum) (B) 2 (minimum) (C) ?2 (maximum) (D) ?2 (minimum)
Q.3 The Fourier series of the function,
???? ( ???? ) = 0, ? ???? < ???? ? 0
= ???? ? ???? , 0 < ???? < ????
in the interval [? ???? , ???? ] is
???? ( ???? ) =
???? 4
+
2
???? ?
cos ???? 1
2
+
cos 3 ???? 3
2
+ ? ? ? ? + ?
sin ???? 1
+
sin 2 ???? 2
+
sin 3 ???? 3
+ ? ? . ?.
The convergence of the above Fourier series at ???? = 0 gives
(A)
6
1
2
1
2
?
=
?
?
= n
n
(B)
12
) 1 (
2
1
2
1
?
=
?
?
?
=
+
n
n
n
(C)
8 ) 1 2 (
1
2
1
2
?
=
?
?
?
= n
n
(D)
4 1 2
) 1 (
1
1
?
=
?
?
?
?
=
+
n
n
n
Q.4
X and Y are two random independent events. It is known that ( ) 40 . 0 = X P and
( ) . 7 . 0 = ?
C
Y X P Which one of the following is the value of ( ) Y X P ?
?
(A) 0.7 (B) 0.5 (C) 0.4 (D) 0.3
Q.5
What is the value of
22
0
0
lim
x
y
xy
xy
?
?
+
?
(A) 1 (B) ?1 (C) 0 (D) Limit does not exist
Q.6 The kinematic indeterminacy of the plane truss shown in the figure is
(A) 11 (B) 8 (C) 3 (D) 0
GATE 2016 Civil Engineering Set-2
CE(2) 2/15
Q.7 As per IS 456-2000 for the design of reinforced concrete beam, the maximum allowable shear
stress ( )
max c
? depends on the
(A) grade of concrete and grade of steel
(B) grade of concrete only
(C) grade of steel only
(D) grade of concrete and percentage of reinforcement
Q.8 An assembly made of a rigid arm A-B-C hinged at end A and supported by an elastic rope C-D at
end C is shown in the figure. The members may be assumed to be weightless and the lengths of the
respective members are as shown in the figure.
Under the action of a concentrated load P at C as shown, the magnitude of tension developed in the
rope is
(A)
2
3P
(B)
2
P
(C)
8
3P
(D) P 2
Q.9 As per Indian standards for bricks, minimum acceptable compressive strength of any class of burnt
clay bricks in dry state is
(A) 10.0 MPa (B) 7.5 MPa (C) 5.0 MPa (D) 3.5 MPa
B
P
L L
L
A D
C
Rope
Rigid arm
L
GATE 2016 Civil Engineering Set-2
CE(2) 3/15
Q.10 A construction project consists of twelve activities. The estimated duration (in days) required to
complete each of the activities along with the corresponding network diagram is shown below.
Activity Duration (days) Activity Duration (days)
A Inauguration 1 G Flooring 25
B Foundation work 7 H Electrification 7
C Structural construction-1 30 I Plumbing 7
D Structural construction-2 30 J Wood work 7
E Brick masonry work 25 K Coloring 3
F Plastering 7 L Handing over function 1
Total floats (in days) for the activities 5-7 and 11-12 for the project are, respectively,
(A) 25 and 1
(B) 1 and 1
(C) 0 and 0
(D) 81 and 0
Q.11 A strip footing is resting on the surface of a purely clayey soil deposit. If the width of the footing is
doubled, the ultimate bearing capacity of the soil
(A) becomes double (B) becomes half (C) becomes four-times (D) remains the same
Q.12 The relationship between the specific gravity of sand (G) and the hydraulic gradient (i) to initiate
quick condition in the sand layer having porosity of 30% is
(A) G = 0.7i + 1 (B) G = 1.43i ? 1
(C) G = 1.43i + 1 (D) G = 0.7i ? 1
Q.13 The results of a consolidation test on an undisturbed soil, sampled at a depth of 10 m below the
ground level are as follows:
Saturated unit weight : 16 kN/m
3
Pre-consolidation pressure : 90 kPa
The water table was encountered at the ground level. Assuming the unit weight of water as 10
kN/m
3
, the over-consolidation ratio of the soil is
(A) 0.67
(B) 1.50 (C) 1.77 (D) 2.00
1 2 3
4 6 8
10 11 12
5 7 9
A B K L
C J
D I
E F
G H
GATE 2016 Civil Engineering Set-2
CE(2) 4/15
Q.14 Profile of a weir on permeable foundation is shown in figure I and an elementary profile of
'upstream pile only case' according to Khosla's theory is shown in figure II. The uplift pressure
heads at key points Q, R and S are 3.14 m, 2.75 m and 0 m, respectively (refer figure II).
What is the uplift pressure head at point P downstream of the weir (junction of floor and pile as
shown in the figure I)?
(A) 2.75 m (B) 1.25 m (C) 0.8 m (D) Data not sufficient
Q.15 Water table of an aquifer drops by 100 cm over an area of 1000 km
2
. The porosity and specific
retention of the aquifer material are 25% and 5%, respectively. The amount of water (expressed in
km
3
) drained out from the area is _________
10 m 5 m 25 m
P
Weir
Gate
Floor
1 m
3 m
5 m
40 m
S
4 m
5 m
R
Q
Figure I
Figure II
GATE 2016 Civil Engineering Set-2
CE(2) 5/15
Q.16 Group I contains the types of fluids while Group II contains the shear stress - rate of shear
relationship of different types of fluids, as shown in the figure.
Group I Group II
P. Newtonian fluid 1. Curve 1
Q. Pseudo plastic fluid 2. Curve 2
R. Plastic fluid 3. Curve 3
S. Dilatant fluid 4. Curve 4
5. Curve 5
The correct match between Group I and Group II is
(A) P-2, Q-4, R-1, S-5 (B) P-2, Q-5, R-4, S-1
(C) P-2, Q-4, R-5, S-3 (D) P-2, Q-1, R-3, S-4
Q.17 The atmospheric layer closest to the earth surface is
(A) the mesosphere (B) the stratosphere
(C) the thermosphere (D) the troposphere
Q.18 A water supply board is responsible for treating 1500 m
3
/day of water. A settling column analysis
indicates that an overflow rate of 20 m/day will produce satisfactory removal for a depth of 3.1 m.
It is decided to have two circular settling tanks in parallel. The required diameter (expressed in m)
of the settling tanks is __________
Q.19 The hardness of a ground water sample was found to be 420 mg/L as CaCO
3
. A softener containing
ion exchange resins was installed to reduce the total hardness to 75 mg/L as CaCO
3
before
supplying to 4 households. Each household gets treated water at a rate of 540 L/day. If the
efficiency of the softener is 100%, the bypass flow rate (expressed in L/day) is _________
Q.20 The sound pressure (expressed in ?Pa) of the faintest sound that a normal healthy individual can
hear is
(A) 0.2 (B) 2 (C) 20 (D) 55
Q.21 In the context of the IRC 58-2011 guidelines for rigid pavement design, consider the following pair
of statements.
I: Radius of relative stiffness is directly related to modulus of elasticity of concrete and inversely
related to Poisson's ratio
II: Radius of relative stiffness is directly related to thickness of slab and modulus of subgrade
reaction.
Which one of the following combinations is correct?
(A) I: True; II: True (B) I: False; II: False
(C) I: True; II: False (D) I: False; II: True
Q.22 If the total number of commercial vehicles per day ranges from 3000 to 6000, the minimum
percentage of commercial traffic to be surveyed for axle load is
(A) 15 (B) 20 (C) 25 (D) 30
Rate of shear
Shear stress Yield stress
2
3
4
5
1
GATE 2016 Civil Engineering Set-2
CE(2) 6/15
Q.23 Optimal flight planning for a photogrammetric survey should be carried out considering
(A) only side-lap
(B) only end-lap
(C) either side-lap or end-lap
(D) both side-lap as well as end-lap
Q.24 The reduced bearing of a 10 m long line is N30?E. The departure of the line is
(A) 10.00 m (B) 8.66 m (C) 7.52 m (D) 5.00 m
Q.25 A circular curve of radius R connects two straights with a deflection angle of 60?. The tangent
length is
(A) 0.577 R (B) 1.155 R (C) 1.732 R (D) 3.464 R
Q. 26 ? Q. 55 carry two marks each
Q.26 Consider the following linear system.
???? + 2 ???? ? 3 ???? = ????
2 ???? + 3 ???? + 3 ???? = ????
5 ???? + 9 ???? ? 6 ???? = ????
This system is consistent if ???? , ???? and ???? satisfy the equation
(A) 7 ???? ? ???? ? ???? = 0 (B) 3 ???? + ???? ? ???? = 0 (C) 3 ???? ? ???? + ???? = 0 (D) 7 ???? ? ???? + ???? = 0
Q.27 If ???? ( ???? ) and ???? ( ???? ) are two probability density functions,
???? ( ???? ) =
?
?
?
?
?
???? ???? + 1 ? ? ???? ? ???? < 0
?
???? ???? + 1 ? 0 ? ???? ? ???? 0 ? ???????? ? ????????????????????????
???? ( ???? ) =
?
?
?
?
? ?
???? ???? ? ? ???? ? ???? < 0
???? ???? ? 0 ? ???? ? ???? 0 ? ???????? ? ????????????????????????
Which one of the following statements is true?
(A) Mean of ???? ( ???? ) and ???? ( ???? ) are same; Variance of ???? ( ???? ) and ???? ( ???? ) are same
(B) Mean of ???? ( ???? ) and ???? ( ???? ) are same; Variance of ???? ( ???? ) and ???? ( ???? ) are different
(C) Mean of ???? ( ???? ) and ???? ( ???? ) are different; Variance of ???? ( ???? ) and ???? ( ???? ) are same
(D) Mean of ???? ( ???? ) and ???? ( ???? ) are different; Variance of ???? ( ???? ) and ???? ( ???? ) are different
Q.28 The angle of intersection of the curves ???? 2
= 4 ???? and ???? 2
= 4 ???? at point (0, 0) is
(A) 0
o
(B) 30
o
(C) 45
o
(D) 90
o
GATE 2016 Civil Engineering Set-2
CE(2) 7/15
Q.29 The area between the parabola ???? 2
= 8 ???? and the straight line y = 8 is _________.
Q.30 The quadratic approximation of ???? ( ???? ) = ???? 3
? 3 ???? 2
? 5 at the point ???? = 0 is
(A) 3 ???? 2
? 6 ???? ? 5 (B) ?3 ???? 2
? 5
(C) ?3 ???? 2
+ 6 ???? ? 5 (D) 3 ???? 2
? 5
Q.31 An elastic isotropic body is in a hydrostatic state of stress as shown in the figure. For no change in
the volume to occur, what should be its Poisson's ratio?
(A) 0.00 (B) 0.25 (C) 0.50 (D) 1.00
Q.32 For the stress state (in MPa) shown in the figure, the major principal stress is 10 MPa.
The shear stress ? is
(A) 10.0 MPa (B) 5.0 MPa (C) 2.5 MPa (D) 0.0 MPa
5
5
5
5
?
?
y
?
x
?
z
GATE 2016 Civil Engineering Set-2
CE(2) 8/15
Q.33 The portal frame shown in the figure is subjected to a uniformly distributed vertical load w (per unit
length).
The bending moment in the beam at the joint ?Q? is
(A) zero
(B)
24
2
wL
(hogging)
(C)
12
2
wL
(hogging) (D)
8
2
wL
(sagging)
Q.34 Consider the structural system shown in the figure under the action of weight W. All the joints are
hinged. The properties of the members in terms of length (L), area (A) and the modulus of elasticity
(E) are also given in the figure. Let L, A and E be 1 m, 0.05 m
2
and 30 ? 10
6
N/m
2
, respectively, and
W be 100 kN.
Which one of the following sets gives the correct values of the force, stress and change in length of
the horizontal member QR?
(A) Compressive force = 25 kN; Stress = 250 kN/m
2
; Shortening = 0.0118 m
(B) Compressive force = 14.14 kN; Stress = 141.4 kN/m
2
; Extension = 0.0118 m
(C) Compressive force = 100 kN; Stress = 1000 kN/m
2
; Shortening = 0.0417 m
(D) Compressive force = 100 kN; Stress = 1000 kN/m
2
; Extension = 0.0417 m
W
9 0 ?
P
9 0 ?
45 ?
45 ?
45 ?
45 ?
2 A , E
A , E A , E
A , E A , E
R Q
L
S
L
P
Q R
S
L/2
w
FirstRanker.com - FirstRanker's Choice
GATE 2016 General Aptitude ? GA Set-7
1/3
Q. 1 ? Q. 5 carry one mark each.
Q.1 If I were you, I __________ that laptop. It?s much too expensive.
(A) won?t buy (B) shan?t buy
(C) wouldn?t buy (D) would buy
Q.2 He turned a deaf ear to my request.
What does the underlined phrasal verb mean?
(A) ignored (B) appreciated (C) twisted (D) returned
Q.3 Choose the most appropriate set of words from the options given below to complete the following
sentence.
_________ ___________ is a will, _________ is a way.
(A) Wear, there, their (B) Were, their, there
(C) Where, there, there (D) Where, their, their
Q.4 (x % of y) + (y % of x) is equivalent to .
(A) 2 % of xy (B) 2 % of (xy/100) (C) xy % of 100 (D) 100 % of xy
Q.5 The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits
is greater than the original number by 54, find the original number.
(A) 39 (B) 57 (C) 66 (D) 93
GATE 2016 General Aptitude ? GA Set-7
2/3
Q. 6 ? Q. 10 carry two marks each.
Q.6 Two finance companies, P and Q, declared fixed annual rates of interest on the amounts invested
with them. The rates of interest offered by these companies may differ from year to year. Year-wise
annual rates of interest offered by these companies are shown by the line graph provided below.
If the amounts invested in the companies, P and Q, in 2006 are in the ratio 8:9, then the amounts
received after one year as interests from companies P and Q would be in the ratio:
(A) 2:3
(B) 3:4
(C) 6:7
(D) 4:3
Q.7 Today, we consider Ashoka as a great ruler because of the copious evidence he left behind in the
form of stone carved edicts. Historians tend to correlate greatness of a king at his time with the
availability of evidence today.
Which of the following can be logically inferred from the above sentences?
(A) Emperors who do not leave significant sculpted evidence are completely forgotten.
(B) Ashoka produced stone carved edicts to ensure that later historians will respect him.
(C) Statues of kings are a reminder of their greatness.
(D) A king?s greatness, as we know him today, is interpreted by historians.
7
9
8
10
7.5
6.5
6
6.5
8
9.5
8
9
8
4
2000 2001 2002 2003 2004 2005 2006
P Q
GATE 2016 General Aptitude ? GA Set-7
3/3
Q.8 Fact 1: Humans are mammals.
Fact 2: Some humans are engineers.
Fact 3: Engineers build houses.
If the above statements are facts, which of the following can be logically inferred?
I. All mammals build houses.
II. Engineers are mammals.
III. Some humans are not engineers.
(A) II only. (B) III only.
(C) I, II and III. (D) I only.
Q.9 A square pyramid has a base perimeter x, and the slant height is half of the perimeter. What is the
lateral surface area of the pyramid?
(A) x
2
(B) 0.75 x
2
(C) 0.50 x
2
(D) 0.25 x
2
END OF THE QUESTION PAPER
Q.10 Ananth takes 6 hours and Bharath takes 4 hours to read a book. Both started reading copies of the
book at the same time. After how many hours is the number of pages to be read by Ananth, twice
that to be read by Bharath? Assume Ananth and Bharath read all the pages with constant pace.
(A) 1 (B) 2 (C) 3 (D) 4
GATE 2016 Civil Engineering Set-2
CE(2) 1/15
Q. 1 ? Q. 25 carry one mark each
Q.1 The spot speeds (expressed in km/hr) observed at a road section are 66, 62, 45, 79, 32, 51, 56, 60,
53, and 49. The median speed (expressed in km/hr) is _________
(Note: answer with one decimal accuracy)
Q.2 The optimum value of the function f(x) = x
2
? 4x +2 is
(A) 2 (maximum) (B) 2 (minimum) (C) ?2 (maximum) (D) ?2 (minimum)
Q.3 The Fourier series of the function,
???? ( ???? ) = 0, ? ???? < ???? ? 0
= ???? ? ???? , 0 < ???? < ????
in the interval [? ???? , ???? ] is
???? ( ???? ) =
???? 4
+
2
???? ?
cos ???? 1
2
+
cos 3 ???? 3
2
+ ? ? ? ? + ?
sin ???? 1
+
sin 2 ???? 2
+
sin 3 ???? 3
+ ? ? . ?.
The convergence of the above Fourier series at ???? = 0 gives
(A)
6
1
2
1
2
?
=
?
?
= n
n
(B)
12
) 1 (
2
1
2
1
?
=
?
?
?
=
+
n
n
n
(C)
8 ) 1 2 (
1
2
1
2
?
=
?
?
?
= n
n
(D)
4 1 2
) 1 (
1
1
?
=
?
?
?
?
=
+
n
n
n
Q.4
X and Y are two random independent events. It is known that ( ) 40 . 0 = X P and
( ) . 7 . 0 = ?
C
Y X P Which one of the following is the value of ( ) Y X P ?
?
(A) 0.7 (B) 0.5 (C) 0.4 (D) 0.3
Q.5
What is the value of
22
0
0
lim
x
y
xy
xy
?
?
+
?
(A) 1 (B) ?1 (C) 0 (D) Limit does not exist
Q.6 The kinematic indeterminacy of the plane truss shown in the figure is
(A) 11 (B) 8 (C) 3 (D) 0
GATE 2016 Civil Engineering Set-2
CE(2) 2/15
Q.7 As per IS 456-2000 for the design of reinforced concrete beam, the maximum allowable shear
stress ( )
max c
? depends on the
(A) grade of concrete and grade of steel
(B) grade of concrete only
(C) grade of steel only
(D) grade of concrete and percentage of reinforcement
Q.8 An assembly made of a rigid arm A-B-C hinged at end A and supported by an elastic rope C-D at
end C is shown in the figure. The members may be assumed to be weightless and the lengths of the
respective members are as shown in the figure.
Under the action of a concentrated load P at C as shown, the magnitude of tension developed in the
rope is
(A)
2
3P
(B)
2
P
(C)
8
3P
(D) P 2
Q.9 As per Indian standards for bricks, minimum acceptable compressive strength of any class of burnt
clay bricks in dry state is
(A) 10.0 MPa (B) 7.5 MPa (C) 5.0 MPa (D) 3.5 MPa
B
P
L L
L
A D
C
Rope
Rigid arm
L
GATE 2016 Civil Engineering Set-2
CE(2) 3/15
Q.10 A construction project consists of twelve activities. The estimated duration (in days) required to
complete each of the activities along with the corresponding network diagram is shown below.
Activity Duration (days) Activity Duration (days)
A Inauguration 1 G Flooring 25
B Foundation work 7 H Electrification 7
C Structural construction-1 30 I Plumbing 7
D Structural construction-2 30 J Wood work 7
E Brick masonry work 25 K Coloring 3
F Plastering 7 L Handing over function 1
Total floats (in days) for the activities 5-7 and 11-12 for the project are, respectively,
(A) 25 and 1
(B) 1 and 1
(C) 0 and 0
(D) 81 and 0
Q.11 A strip footing is resting on the surface of a purely clayey soil deposit. If the width of the footing is
doubled, the ultimate bearing capacity of the soil
(A) becomes double (B) becomes half (C) becomes four-times (D) remains the same
Q.12 The relationship between the specific gravity of sand (G) and the hydraulic gradient (i) to initiate
quick condition in the sand layer having porosity of 30% is
(A) G = 0.7i + 1 (B) G = 1.43i ? 1
(C) G = 1.43i + 1 (D) G = 0.7i ? 1
Q.13 The results of a consolidation test on an undisturbed soil, sampled at a depth of 10 m below the
ground level are as follows:
Saturated unit weight : 16 kN/m
3
Pre-consolidation pressure : 90 kPa
The water table was encountered at the ground level. Assuming the unit weight of water as 10
kN/m
3
, the over-consolidation ratio of the soil is
(A) 0.67
(B) 1.50 (C) 1.77 (D) 2.00
1 2 3
4 6 8
10 11 12
5 7 9
A B K L
C J
D I
E F
G H
GATE 2016 Civil Engineering Set-2
CE(2) 4/15
Q.14 Profile of a weir on permeable foundation is shown in figure I and an elementary profile of
'upstream pile only case' according to Khosla's theory is shown in figure II. The uplift pressure
heads at key points Q, R and S are 3.14 m, 2.75 m and 0 m, respectively (refer figure II).
What is the uplift pressure head at point P downstream of the weir (junction of floor and pile as
shown in the figure I)?
(A) 2.75 m (B) 1.25 m (C) 0.8 m (D) Data not sufficient
Q.15 Water table of an aquifer drops by 100 cm over an area of 1000 km
2
. The porosity and specific
retention of the aquifer material are 25% and 5%, respectively. The amount of water (expressed in
km
3
) drained out from the area is _________
10 m 5 m 25 m
P
Weir
Gate
Floor
1 m
3 m
5 m
40 m
S
4 m
5 m
R
Q
Figure I
Figure II
GATE 2016 Civil Engineering Set-2
CE(2) 5/15
Q.16 Group I contains the types of fluids while Group II contains the shear stress - rate of shear
relationship of different types of fluids, as shown in the figure.
Group I Group II
P. Newtonian fluid 1. Curve 1
Q. Pseudo plastic fluid 2. Curve 2
R. Plastic fluid 3. Curve 3
S. Dilatant fluid 4. Curve 4
5. Curve 5
The correct match between Group I and Group II is
(A) P-2, Q-4, R-1, S-5 (B) P-2, Q-5, R-4, S-1
(C) P-2, Q-4, R-5, S-3 (D) P-2, Q-1, R-3, S-4
Q.17 The atmospheric layer closest to the earth surface is
(A) the mesosphere (B) the stratosphere
(C) the thermosphere (D) the troposphere
Q.18 A water supply board is responsible for treating 1500 m
3
/day of water. A settling column analysis
indicates that an overflow rate of 20 m/day will produce satisfactory removal for a depth of 3.1 m.
It is decided to have two circular settling tanks in parallel. The required diameter (expressed in m)
of the settling tanks is __________
Q.19 The hardness of a ground water sample was found to be 420 mg/L as CaCO
3
. A softener containing
ion exchange resins was installed to reduce the total hardness to 75 mg/L as CaCO
3
before
supplying to 4 households. Each household gets treated water at a rate of 540 L/day. If the
efficiency of the softener is 100%, the bypass flow rate (expressed in L/day) is _________
Q.20 The sound pressure (expressed in ?Pa) of the faintest sound that a normal healthy individual can
hear is
(A) 0.2 (B) 2 (C) 20 (D) 55
Q.21 In the context of the IRC 58-2011 guidelines for rigid pavement design, consider the following pair
of statements.
I: Radius of relative stiffness is directly related to modulus of elasticity of concrete and inversely
related to Poisson's ratio
II: Radius of relative stiffness is directly related to thickness of slab and modulus of subgrade
reaction.
Which one of the following combinations is correct?
(A) I: True; II: True (B) I: False; II: False
(C) I: True; II: False (D) I: False; II: True
Q.22 If the total number of commercial vehicles per day ranges from 3000 to 6000, the minimum
percentage of commercial traffic to be surveyed for axle load is
(A) 15 (B) 20 (C) 25 (D) 30
Rate of shear
Shear stress Yield stress
2
3
4
5
1
GATE 2016 Civil Engineering Set-2
CE(2) 6/15
Q.23 Optimal flight planning for a photogrammetric survey should be carried out considering
(A) only side-lap
(B) only end-lap
(C) either side-lap or end-lap
(D) both side-lap as well as end-lap
Q.24 The reduced bearing of a 10 m long line is N30?E. The departure of the line is
(A) 10.00 m (B) 8.66 m (C) 7.52 m (D) 5.00 m
Q.25 A circular curve of radius R connects two straights with a deflection angle of 60?. The tangent
length is
(A) 0.577 R (B) 1.155 R (C) 1.732 R (D) 3.464 R
Q. 26 ? Q. 55 carry two marks each
Q.26 Consider the following linear system.
???? + 2 ???? ? 3 ???? = ????
2 ???? + 3 ???? + 3 ???? = ????
5 ???? + 9 ???? ? 6 ???? = ????
This system is consistent if ???? , ???? and ???? satisfy the equation
(A) 7 ???? ? ???? ? ???? = 0 (B) 3 ???? + ???? ? ???? = 0 (C) 3 ???? ? ???? + ???? = 0 (D) 7 ???? ? ???? + ???? = 0
Q.27 If ???? ( ???? ) and ???? ( ???? ) are two probability density functions,
???? ( ???? ) =
?
?
?
?
?
???? ???? + 1 ? ? ???? ? ???? < 0
?
???? ???? + 1 ? 0 ? ???? ? ???? 0 ? ???????? ? ????????????????????????
???? ( ???? ) =
?
?
?
?
? ?
???? ???? ? ? ???? ? ???? < 0
???? ???? ? 0 ? ???? ? ???? 0 ? ???????? ? ????????????????????????
Which one of the following statements is true?
(A) Mean of ???? ( ???? ) and ???? ( ???? ) are same; Variance of ???? ( ???? ) and ???? ( ???? ) are same
(B) Mean of ???? ( ???? ) and ???? ( ???? ) are same; Variance of ???? ( ???? ) and ???? ( ???? ) are different
(C) Mean of ???? ( ???? ) and ???? ( ???? ) are different; Variance of ???? ( ???? ) and ???? ( ???? ) are same
(D) Mean of ???? ( ???? ) and ???? ( ???? ) are different; Variance of ???? ( ???? ) and ???? ( ???? ) are different
Q.28 The angle of intersection of the curves ???? 2
= 4 ???? and ???? 2
= 4 ???? at point (0, 0) is
(A) 0
o
(B) 30
o
(C) 45
o
(D) 90
o
GATE 2016 Civil Engineering Set-2
CE(2) 7/15
Q.29 The area between the parabola ???? 2
= 8 ???? and the straight line y = 8 is _________.
Q.30 The quadratic approximation of ???? ( ???? ) = ???? 3
? 3 ???? 2
? 5 at the point ???? = 0 is
(A) 3 ???? 2
? 6 ???? ? 5 (B) ?3 ???? 2
? 5
(C) ?3 ???? 2
+ 6 ???? ? 5 (D) 3 ???? 2
? 5
Q.31 An elastic isotropic body is in a hydrostatic state of stress as shown in the figure. For no change in
the volume to occur, what should be its Poisson's ratio?
(A) 0.00 (B) 0.25 (C) 0.50 (D) 1.00
Q.32 For the stress state (in MPa) shown in the figure, the major principal stress is 10 MPa.
The shear stress ? is
(A) 10.0 MPa (B) 5.0 MPa (C) 2.5 MPa (D) 0.0 MPa
5
5
5
5
?
?
y
?
x
?
z
GATE 2016 Civil Engineering Set-2
CE(2) 8/15
Q.33 The portal frame shown in the figure is subjected to a uniformly distributed vertical load w (per unit
length).
The bending moment in the beam at the joint ?Q? is
(A) zero
(B)
24
2
wL
(hogging)
(C)
12
2
wL
(hogging) (D)
8
2
wL
(sagging)
Q.34 Consider the structural system shown in the figure under the action of weight W. All the joints are
hinged. The properties of the members in terms of length (L), area (A) and the modulus of elasticity
(E) are also given in the figure. Let L, A and E be 1 m, 0.05 m
2
and 30 ? 10
6
N/m
2
, respectively, and
W be 100 kN.
Which one of the following sets gives the correct values of the force, stress and change in length of
the horizontal member QR?
(A) Compressive force = 25 kN; Stress = 250 kN/m
2
; Shortening = 0.0118 m
(B) Compressive force = 14.14 kN; Stress = 141.4 kN/m
2
; Extension = 0.0118 m
(C) Compressive force = 100 kN; Stress = 1000 kN/m
2
; Shortening = 0.0417 m
(D) Compressive force = 100 kN; Stress = 1000 kN/m
2
; Extension = 0.0417 m
W
9 0 ?
P
9 0 ?
45 ?
45 ?
45 ?
45 ?
2 A , E
A , E A , E
A , E A , E
R Q
L
S
L
P
Q R
S
L/2
w
GATE 2016 Civil Engineering Set-2
CE(2) 9/15
Q.35 A haunched (varying depth) reinforced concrete beam is simply supported at both ends, as shown in
the figure. The beam is subjected to a uniformly distributed factored load of intensity 10 kN/m.
The design shear force (expressed in kN) at the section X-X of the beam is ______
Q.36 A 450 mm long plain concrete prism is subjected to the concentrated vertical loads as shown in the
figure. Cross section of the prism is given as 150 mm ? 150 mm. Considering linear stress
distribution across the cross-section, the modulus of rupture (expressed in MPa) is ________
Q.37 Two bolted plates under tension with alternative arrangement of bolt holes are shown in figures 1
and 2. The hole diameter, pitch, and gauge length are d, p and g, respectively.
Which one of the following conditions must be ensured to have higher net tensile capacity of
configuration shown in Figure 2 than that shown in Figure 1 ?
(A) gd p 2
2
> (B) gd p 4
2
< (C) gd p 4
2
>
(D) gd p 4 >
effective span = 20 m
10 kN/m
600 mm
400 mm
5 m
X
X
P P d
P
g
p
P
Figure 1 Figure 2
P
Q R
S
150 mm
11.25 kN
150 mm 150 mm
11.25 kN
FirstRanker.com - FirstRanker's Choice
GATE 2016 General Aptitude ? GA Set-7
1/3
Q. 1 ? Q. 5 carry one mark each.
Q.1 If I were you, I __________ that laptop. It?s much too expensive.
(A) won?t buy (B) shan?t buy
(C) wouldn?t buy (D) would buy
Q.2 He turned a deaf ear to my request.
What does the underlined phrasal verb mean?
(A) ignored (B) appreciated (C) twisted (D) returned
Q.3 Choose the most appropriate set of words from the options given below to complete the following
sentence.
_________ ___________ is a will, _________ is a way.
(A) Wear, there, their (B) Were, their, there
(C) Where, there, there (D) Where, their, their
Q.4 (x % of y) + (y % of x) is equivalent to .
(A) 2 % of xy (B) 2 % of (xy/100) (C) xy % of 100 (D) 100 % of xy
Q.5 The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits
is greater than the original number by 54, find the original number.
(A) 39 (B) 57 (C) 66 (D) 93
GATE 2016 General Aptitude ? GA Set-7
2/3
Q. 6 ? Q. 10 carry two marks each.
Q.6 Two finance companies, P and Q, declared fixed annual rates of interest on the amounts invested
with them. The rates of interest offered by these companies may differ from year to year. Year-wise
annual rates of interest offered by these companies are shown by the line graph provided below.
If the amounts invested in the companies, P and Q, in 2006 are in the ratio 8:9, then the amounts
received after one year as interests from companies P and Q would be in the ratio:
(A) 2:3
(B) 3:4
(C) 6:7
(D) 4:3
Q.7 Today, we consider Ashoka as a great ruler because of the copious evidence he left behind in the
form of stone carved edicts. Historians tend to correlate greatness of a king at his time with the
availability of evidence today.
Which of the following can be logically inferred from the above sentences?
(A) Emperors who do not leave significant sculpted evidence are completely forgotten.
(B) Ashoka produced stone carved edicts to ensure that later historians will respect him.
(C) Statues of kings are a reminder of their greatness.
(D) A king?s greatness, as we know him today, is interpreted by historians.
7
9
8
10
7.5
6.5
6
6.5
8
9.5
8
9
8
4
2000 2001 2002 2003 2004 2005 2006
P Q
GATE 2016 General Aptitude ? GA Set-7
3/3
Q.8 Fact 1: Humans are mammals.
Fact 2: Some humans are engineers.
Fact 3: Engineers build houses.
If the above statements are facts, which of the following can be logically inferred?
I. All mammals build houses.
II. Engineers are mammals.
III. Some humans are not engineers.
(A) II only. (B) III only.
(C) I, II and III. (D) I only.
Q.9 A square pyramid has a base perimeter x, and the slant height is half of the perimeter. What is the
lateral surface area of the pyramid?
(A) x
2
(B) 0.75 x
2
(C) 0.50 x
2
(D) 0.25 x
2
END OF THE QUESTION PAPER
Q.10 Ananth takes 6 hours and Bharath takes 4 hours to read a book. Both started reading copies of the
book at the same time. After how many hours is the number of pages to be read by Ananth, twice
that to be read by Bharath? Assume Ananth and Bharath read all the pages with constant pace.
(A) 1 (B) 2 (C) 3 (D) 4
GATE 2016 Civil Engineering Set-2
CE(2) 1/15
Q. 1 ? Q. 25 carry one mark each
Q.1 The spot speeds (expressed in km/hr) observed at a road section are 66, 62, 45, 79, 32, 51, 56, 60,
53, and 49. The median speed (expressed in km/hr) is _________
(Note: answer with one decimal accuracy)
Q.2 The optimum value of the function f(x) = x
2
? 4x +2 is
(A) 2 (maximum) (B) 2 (minimum) (C) ?2 (maximum) (D) ?2 (minimum)
Q.3 The Fourier series of the function,
???? ( ???? ) = 0, ? ???? < ???? ? 0
= ???? ? ???? , 0 < ???? < ????
in the interval [? ???? , ???? ] is
???? ( ???? ) =
???? 4
+
2
???? ?
cos ???? 1
2
+
cos 3 ???? 3
2
+ ? ? ? ? + ?
sin ???? 1
+
sin 2 ???? 2
+
sin 3 ???? 3
+ ? ? . ?.
The convergence of the above Fourier series at ???? = 0 gives
(A)
6
1
2
1
2
?
=
?
?
= n
n
(B)
12
) 1 (
2
1
2
1
?
=
?
?
?
=
+
n
n
n
(C)
8 ) 1 2 (
1
2
1
2
?
=
?
?
?
= n
n
(D)
4 1 2
) 1 (
1
1
?
=
?
?
?
?
=
+
n
n
n
Q.4
X and Y are two random independent events. It is known that ( ) 40 . 0 = X P and
( ) . 7 . 0 = ?
C
Y X P Which one of the following is the value of ( ) Y X P ?
?
(A) 0.7 (B) 0.5 (C) 0.4 (D) 0.3
Q.5
What is the value of
22
0
0
lim
x
y
xy
xy
?
?
+
?
(A) 1 (B) ?1 (C) 0 (D) Limit does not exist
Q.6 The kinematic indeterminacy of the plane truss shown in the figure is
(A) 11 (B) 8 (C) 3 (D) 0
GATE 2016 Civil Engineering Set-2
CE(2) 2/15
Q.7 As per IS 456-2000 for the design of reinforced concrete beam, the maximum allowable shear
stress ( )
max c
? depends on the
(A) grade of concrete and grade of steel
(B) grade of concrete only
(C) grade of steel only
(D) grade of concrete and percentage of reinforcement
Q.8 An assembly made of a rigid arm A-B-C hinged at end A and supported by an elastic rope C-D at
end C is shown in the figure. The members may be assumed to be weightless and the lengths of the
respective members are as shown in the figure.
Under the action of a concentrated load P at C as shown, the magnitude of tension developed in the
rope is
(A)
2
3P
(B)
2
P
(C)
8
3P
(D) P 2
Q.9 As per Indian standards for bricks, minimum acceptable compressive strength of any class of burnt
clay bricks in dry state is
(A) 10.0 MPa (B) 7.5 MPa (C) 5.0 MPa (D) 3.5 MPa
B
P
L L
L
A D
C
Rope
Rigid arm
L
GATE 2016 Civil Engineering Set-2
CE(2) 3/15
Q.10 A construction project consists of twelve activities. The estimated duration (in days) required to
complete each of the activities along with the corresponding network diagram is shown below.
Activity Duration (days) Activity Duration (days)
A Inauguration 1 G Flooring 25
B Foundation work 7 H Electrification 7
C Structural construction-1 30 I Plumbing 7
D Structural construction-2 30 J Wood work 7
E Brick masonry work 25 K Coloring 3
F Plastering 7 L Handing over function 1
Total floats (in days) for the activities 5-7 and 11-12 for the project are, respectively,
(A) 25 and 1
(B) 1 and 1
(C) 0 and 0
(D) 81 and 0
Q.11 A strip footing is resting on the surface of a purely clayey soil deposit. If the width of the footing is
doubled, the ultimate bearing capacity of the soil
(A) becomes double (B) becomes half (C) becomes four-times (D) remains the same
Q.12 The relationship between the specific gravity of sand (G) and the hydraulic gradient (i) to initiate
quick condition in the sand layer having porosity of 30% is
(A) G = 0.7i + 1 (B) G = 1.43i ? 1
(C) G = 1.43i + 1 (D) G = 0.7i ? 1
Q.13 The results of a consolidation test on an undisturbed soil, sampled at a depth of 10 m below the
ground level are as follows:
Saturated unit weight : 16 kN/m
3
Pre-consolidation pressure : 90 kPa
The water table was encountered at the ground level. Assuming the unit weight of water as 10
kN/m
3
, the over-consolidation ratio of the soil is
(A) 0.67
(B) 1.50 (C) 1.77 (D) 2.00
1 2 3
4 6 8
10 11 12
5 7 9
A B K L
C J
D I
E F
G H
GATE 2016 Civil Engineering Set-2
CE(2) 4/15
Q.14 Profile of a weir on permeable foundation is shown in figure I and an elementary profile of
'upstream pile only case' according to Khosla's theory is shown in figure II. The uplift pressure
heads at key points Q, R and S are 3.14 m, 2.75 m and 0 m, respectively (refer figure II).
What is the uplift pressure head at point P downstream of the weir (junction of floor and pile as
shown in the figure I)?
(A) 2.75 m (B) 1.25 m (C) 0.8 m (D) Data not sufficient
Q.15 Water table of an aquifer drops by 100 cm over an area of 1000 km
2
. The porosity and specific
retention of the aquifer material are 25% and 5%, respectively. The amount of water (expressed in
km
3
) drained out from the area is _________
10 m 5 m 25 m
P
Weir
Gate
Floor
1 m
3 m
5 m
40 m
S
4 m
5 m
R
Q
Figure I
Figure II
GATE 2016 Civil Engineering Set-2
CE(2) 5/15
Q.16 Group I contains the types of fluids while Group II contains the shear stress - rate of shear
relationship of different types of fluids, as shown in the figure.
Group I Group II
P. Newtonian fluid 1. Curve 1
Q. Pseudo plastic fluid 2. Curve 2
R. Plastic fluid 3. Curve 3
S. Dilatant fluid 4. Curve 4
5. Curve 5
The correct match between Group I and Group II is
(A) P-2, Q-4, R-1, S-5 (B) P-2, Q-5, R-4, S-1
(C) P-2, Q-4, R-5, S-3 (D) P-2, Q-1, R-3, S-4
Q.17 The atmospheric layer closest to the earth surface is
(A) the mesosphere (B) the stratosphere
(C) the thermosphere (D) the troposphere
Q.18 A water supply board is responsible for treating 1500 m
3
/day of water. A settling column analysis
indicates that an overflow rate of 20 m/day will produce satisfactory removal for a depth of 3.1 m.
It is decided to have two circular settling tanks in parallel. The required diameter (expressed in m)
of the settling tanks is __________
Q.19 The hardness of a ground water sample was found to be 420 mg/L as CaCO
3
. A softener containing
ion exchange resins was installed to reduce the total hardness to 75 mg/L as CaCO
3
before
supplying to 4 households. Each household gets treated water at a rate of 540 L/day. If the
efficiency of the softener is 100%, the bypass flow rate (expressed in L/day) is _________
Q.20 The sound pressure (expressed in ?Pa) of the faintest sound that a normal healthy individual can
hear is
(A) 0.2 (B) 2 (C) 20 (D) 55
Q.21 In the context of the IRC 58-2011 guidelines for rigid pavement design, consider the following pair
of statements.
I: Radius of relative stiffness is directly related to modulus of elasticity of concrete and inversely
related to Poisson's ratio
II: Radius of relative stiffness is directly related to thickness of slab and modulus of subgrade
reaction.
Which one of the following combinations is correct?
(A) I: True; II: True (B) I: False; II: False
(C) I: True; II: False (D) I: False; II: True
Q.22 If the total number of commercial vehicles per day ranges from 3000 to 6000, the minimum
percentage of commercial traffic to be surveyed for axle load is
(A) 15 (B) 20 (C) 25 (D) 30
Rate of shear
Shear stress Yield stress
2
3
4
5
1
GATE 2016 Civil Engineering Set-2
CE(2) 6/15
Q.23 Optimal flight planning for a photogrammetric survey should be carried out considering
(A) only side-lap
(B) only end-lap
(C) either side-lap or end-lap
(D) both side-lap as well as end-lap
Q.24 The reduced bearing of a 10 m long line is N30?E. The departure of the line is
(A) 10.00 m (B) 8.66 m (C) 7.52 m (D) 5.00 m
Q.25 A circular curve of radius R connects two straights with a deflection angle of 60?. The tangent
length is
(A) 0.577 R (B) 1.155 R (C) 1.732 R (D) 3.464 R
Q. 26 ? Q. 55 carry two marks each
Q.26 Consider the following linear system.
???? + 2 ???? ? 3 ???? = ????
2 ???? + 3 ???? + 3 ???? = ????
5 ???? + 9 ???? ? 6 ???? = ????
This system is consistent if ???? , ???? and ???? satisfy the equation
(A) 7 ???? ? ???? ? ???? = 0 (B) 3 ???? + ???? ? ???? = 0 (C) 3 ???? ? ???? + ???? = 0 (D) 7 ???? ? ???? + ???? = 0
Q.27 If ???? ( ???? ) and ???? ( ???? ) are two probability density functions,
???? ( ???? ) =
?
?
?
?
?
???? ???? + 1 ? ? ???? ? ???? < 0
?
???? ???? + 1 ? 0 ? ???? ? ???? 0 ? ???????? ? ????????????????????????
???? ( ???? ) =
?
?
?
?
? ?
???? ???? ? ? ???? ? ???? < 0
???? ???? ? 0 ? ???? ? ???? 0 ? ???????? ? ????????????????????????
Which one of the following statements is true?
(A) Mean of ???? ( ???? ) and ???? ( ???? ) are same; Variance of ???? ( ???? ) and ???? ( ???? ) are same
(B) Mean of ???? ( ???? ) and ???? ( ???? ) are same; Variance of ???? ( ???? ) and ???? ( ???? ) are different
(C) Mean of ???? ( ???? ) and ???? ( ???? ) are different; Variance of ???? ( ???? ) and ???? ( ???? ) are same
(D) Mean of ???? ( ???? ) and ???? ( ???? ) are different; Variance of ???? ( ???? ) and ???? ( ???? ) are different
Q.28 The angle of intersection of the curves ???? 2
= 4 ???? and ???? 2
= 4 ???? at point (0, 0) is
(A) 0
o
(B) 30
o
(C) 45
o
(D) 90
o
GATE 2016 Civil Engineering Set-2
CE(2) 7/15
Q.29 The area between the parabola ???? 2
= 8 ???? and the straight line y = 8 is _________.
Q.30 The quadratic approximation of ???? ( ???? ) = ???? 3
? 3 ???? 2
? 5 at the point ???? = 0 is
(A) 3 ???? 2
? 6 ???? ? 5 (B) ?3 ???? 2
? 5
(C) ?3 ???? 2
+ 6 ???? ? 5 (D) 3 ???? 2
? 5
Q.31 An elastic isotropic body is in a hydrostatic state of stress as shown in the figure. For no change in
the volume to occur, what should be its Poisson's ratio?
(A) 0.00 (B) 0.25 (C) 0.50 (D) 1.00
Q.32 For the stress state (in MPa) shown in the figure, the major principal stress is 10 MPa.
The shear stress ? is
(A) 10.0 MPa (B) 5.0 MPa (C) 2.5 MPa (D) 0.0 MPa
5
5
5
5
?
?
y
?
x
?
z
GATE 2016 Civil Engineering Set-2
CE(2) 8/15
Q.33 The portal frame shown in the figure is subjected to a uniformly distributed vertical load w (per unit
length).
The bending moment in the beam at the joint ?Q? is
(A) zero
(B)
24
2
wL
(hogging)
(C)
12
2
wL
(hogging) (D)
8
2
wL
(sagging)
Q.34 Consider the structural system shown in the figure under the action of weight W. All the joints are
hinged. The properties of the members in terms of length (L), area (A) and the modulus of elasticity
(E) are also given in the figure. Let L, A and E be 1 m, 0.05 m
2
and 30 ? 10
6
N/m
2
, respectively, and
W be 100 kN.
Which one of the following sets gives the correct values of the force, stress and change in length of
the horizontal member QR?
(A) Compressive force = 25 kN; Stress = 250 kN/m
2
; Shortening = 0.0118 m
(B) Compressive force = 14.14 kN; Stress = 141.4 kN/m
2
; Extension = 0.0118 m
(C) Compressive force = 100 kN; Stress = 1000 kN/m
2
; Shortening = 0.0417 m
(D) Compressive force = 100 kN; Stress = 1000 kN/m
2
; Extension = 0.0417 m
W
9 0 ?
P
9 0 ?
45 ?
45 ?
45 ?
45 ?
2 A , E
A , E A , E
A , E A , E
R Q
L
S
L
P
Q R
S
L/2
w
GATE 2016 Civil Engineering Set-2
CE(2) 9/15
Q.35 A haunched (varying depth) reinforced concrete beam is simply supported at both ends, as shown in
the figure. The beam is subjected to a uniformly distributed factored load of intensity 10 kN/m.
The design shear force (expressed in kN) at the section X-X of the beam is ______
Q.36 A 450 mm long plain concrete prism is subjected to the concentrated vertical loads as shown in the
figure. Cross section of the prism is given as 150 mm ? 150 mm. Considering linear stress
distribution across the cross-section, the modulus of rupture (expressed in MPa) is ________
Q.37 Two bolted plates under tension with alternative arrangement of bolt holes are shown in figures 1
and 2. The hole diameter, pitch, and gauge length are d, p and g, respectively.
Which one of the following conditions must be ensured to have higher net tensile capacity of
configuration shown in Figure 2 than that shown in Figure 1 ?
(A) gd p 2
2
> (B) gd p 4
2
< (C) gd p 4
2
>
(D) gd p 4 >
effective span = 20 m
10 kN/m
600 mm
400 mm
5 m
X
X
P P d
P
g
p
P
Figure 1 Figure 2
P
Q R
S
150 mm
11.25 kN
150 mm 150 mm
11.25 kN
GATE 2016 Civil Engineering Set-2
CE(2) 10/15
Q.38
A fixed-end beam is subjected to a concentrated load ( ) P as shown in the figure. The beam has
two different segments having different plastic moment capacities ( )
p p
M M 2 , as shown.
The minimum value of load ( ) P at which the beam would collapse (ultimate load) is
(A) L M
P
5 . 7 (B) L M
P
0 . 5 (C) L M
P
5 . 4 (D) L M
P
5 . 2
Q.39 The activity-on-arrow network of activities for a construction project is shown in the figure. The
durations (expressed in days) of the activities are mentioned below the arrows.
The critical duration for this construction project is
(A) 13 days (B) 14 days (C) 15 days (D) 16 days
Q.40 The seepage occurring through an earthen dam is represented by a flownet comprising of 10
equipotential drops and 20 flow channels. The coefficient of permeability of the soil is 3 mm/min
and the head loss is 5 m. The rate of seepage (expressed in cm
3
/s per m length of the dam) through
the earthen dam is _________
10
30
20
60
40 50
70
80 90
P
Q
R
S
T
U
W
X
V
2
3
4
3
5
3
3
2
2
L
L
2L/3
P
P
M
P
M 2
FirstRanker.com - FirstRanker's Choice
GATE 2016 General Aptitude ? GA Set-7
1/3
Q. 1 ? Q. 5 carry one mark each.
Q.1 If I were you, I __________ that laptop. It?s much too expensive.
(A) won?t buy (B) shan?t buy
(C) wouldn?t buy (D) would buy
Q.2 He turned a deaf ear to my request.
What does the underlined phrasal verb mean?
(A) ignored (B) appreciated (C) twisted (D) returned
Q.3 Choose the most appropriate set of words from the options given below to complete the following
sentence.
_________ ___________ is a will, _________ is a way.
(A) Wear, there, their (B) Were, their, there
(C) Where, there, there (D) Where, their, their
Q.4 (x % of y) + (y % of x) is equivalent to .
(A) 2 % of xy (B) 2 % of (xy/100) (C) xy % of 100 (D) 100 % of xy
Q.5 The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits
is greater than the original number by 54, find the original number.
(A) 39 (B) 57 (C) 66 (D) 93
GATE 2016 General Aptitude ? GA Set-7
2/3
Q. 6 ? Q. 10 carry two marks each.
Q.6 Two finance companies, P and Q, declared fixed annual rates of interest on the amounts invested
with them. The rates of interest offered by these companies may differ from year to year. Year-wise
annual rates of interest offered by these companies are shown by the line graph provided below.
If the amounts invested in the companies, P and Q, in 2006 are in the ratio 8:9, then the amounts
received after one year as interests from companies P and Q would be in the ratio:
(A) 2:3
(B) 3:4
(C) 6:7
(D) 4:3
Q.7 Today, we consider Ashoka as a great ruler because of the copious evidence he left behind in the
form of stone carved edicts. Historians tend to correlate greatness of a king at his time with the
availability of evidence today.
Which of the following can be logically inferred from the above sentences?
(A) Emperors who do not leave significant sculpted evidence are completely forgotten.
(B) Ashoka produced stone carved edicts to ensure that later historians will respect him.
(C) Statues of kings are a reminder of their greatness.
(D) A king?s greatness, as we know him today, is interpreted by historians.
7
9
8
10
7.5
6.5
6
6.5
8
9.5
8
9
8
4
2000 2001 2002 2003 2004 2005 2006
P Q
GATE 2016 General Aptitude ? GA Set-7
3/3
Q.8 Fact 1: Humans are mammals.
Fact 2: Some humans are engineers.
Fact 3: Engineers build houses.
If the above statements are facts, which of the following can be logically inferred?
I. All mammals build houses.
II. Engineers are mammals.
III. Some humans are not engineers.
(A) II only. (B) III only.
(C) I, II and III. (D) I only.
Q.9 A square pyramid has a base perimeter x, and the slant height is half of the perimeter. What is the
lateral surface area of the pyramid?
(A) x
2
(B) 0.75 x
2
(C) 0.50 x
2
(D) 0.25 x
2
END OF THE QUESTION PAPER
Q.10 Ananth takes 6 hours and Bharath takes 4 hours to read a book. Both started reading copies of the
book at the same time. After how many hours is the number of pages to be read by Ananth, twice
that to be read by Bharath? Assume Ananth and Bharath read all the pages with constant pace.
(A) 1 (B) 2 (C) 3 (D) 4
GATE 2016 Civil Engineering Set-2
CE(2) 1/15
Q. 1 ? Q. 25 carry one mark each
Q.1 The spot speeds (expressed in km/hr) observed at a road section are 66, 62, 45, 79, 32, 51, 56, 60,
53, and 49. The median speed (expressed in km/hr) is _________
(Note: answer with one decimal accuracy)
Q.2 The optimum value of the function f(x) = x
2
? 4x +2 is
(A) 2 (maximum) (B) 2 (minimum) (C) ?2 (maximum) (D) ?2 (minimum)
Q.3 The Fourier series of the function,
???? ( ???? ) = 0, ? ???? < ???? ? 0
= ???? ? ???? , 0 < ???? < ????
in the interval [? ???? , ???? ] is
???? ( ???? ) =
???? 4
+
2
???? ?
cos ???? 1
2
+
cos 3 ???? 3
2
+ ? ? ? ? + ?
sin ???? 1
+
sin 2 ???? 2
+
sin 3 ???? 3
+ ? ? . ?.
The convergence of the above Fourier series at ???? = 0 gives
(A)
6
1
2
1
2
?
=
?
?
= n
n
(B)
12
) 1 (
2
1
2
1
?
=
?
?
?
=
+
n
n
n
(C)
8 ) 1 2 (
1
2
1
2
?
=
?
?
?
= n
n
(D)
4 1 2
) 1 (
1
1
?
=
?
?
?
?
=
+
n
n
n
Q.4
X and Y are two random independent events. It is known that ( ) 40 . 0 = X P and
( ) . 7 . 0 = ?
C
Y X P Which one of the following is the value of ( ) Y X P ?
?
(A) 0.7 (B) 0.5 (C) 0.4 (D) 0.3
Q.5
What is the value of
22
0
0
lim
x
y
xy
xy
?
?
+
?
(A) 1 (B) ?1 (C) 0 (D) Limit does not exist
Q.6 The kinematic indeterminacy of the plane truss shown in the figure is
(A) 11 (B) 8 (C) 3 (D) 0
GATE 2016 Civil Engineering Set-2
CE(2) 2/15
Q.7 As per IS 456-2000 for the design of reinforced concrete beam, the maximum allowable shear
stress ( )
max c
? depends on the
(A) grade of concrete and grade of steel
(B) grade of concrete only
(C) grade of steel only
(D) grade of concrete and percentage of reinforcement
Q.8 An assembly made of a rigid arm A-B-C hinged at end A and supported by an elastic rope C-D at
end C is shown in the figure. The members may be assumed to be weightless and the lengths of the
respective members are as shown in the figure.
Under the action of a concentrated load P at C as shown, the magnitude of tension developed in the
rope is
(A)
2
3P
(B)
2
P
(C)
8
3P
(D) P 2
Q.9 As per Indian standards for bricks, minimum acceptable compressive strength of any class of burnt
clay bricks in dry state is
(A) 10.0 MPa (B) 7.5 MPa (C) 5.0 MPa (D) 3.5 MPa
B
P
L L
L
A D
C
Rope
Rigid arm
L
GATE 2016 Civil Engineering Set-2
CE(2) 3/15
Q.10 A construction project consists of twelve activities. The estimated duration (in days) required to
complete each of the activities along with the corresponding network diagram is shown below.
Activity Duration (days) Activity Duration (days)
A Inauguration 1 G Flooring 25
B Foundation work 7 H Electrification 7
C Structural construction-1 30 I Plumbing 7
D Structural construction-2 30 J Wood work 7
E Brick masonry work 25 K Coloring 3
F Plastering 7 L Handing over function 1
Total floats (in days) for the activities 5-7 and 11-12 for the project are, respectively,
(A) 25 and 1
(B) 1 and 1
(C) 0 and 0
(D) 81 and 0
Q.11 A strip footing is resting on the surface of a purely clayey soil deposit. If the width of the footing is
doubled, the ultimate bearing capacity of the soil
(A) becomes double (B) becomes half (C) becomes four-times (D) remains the same
Q.12 The relationship between the specific gravity of sand (G) and the hydraulic gradient (i) to initiate
quick condition in the sand layer having porosity of 30% is
(A) G = 0.7i + 1 (B) G = 1.43i ? 1
(C) G = 1.43i + 1 (D) G = 0.7i ? 1
Q.13 The results of a consolidation test on an undisturbed soil, sampled at a depth of 10 m below the
ground level are as follows:
Saturated unit weight : 16 kN/m
3
Pre-consolidation pressure : 90 kPa
The water table was encountered at the ground level. Assuming the unit weight of water as 10
kN/m
3
, the over-consolidation ratio of the soil is
(A) 0.67
(B) 1.50 (C) 1.77 (D) 2.00
1 2 3
4 6 8
10 11 12
5 7 9
A B K L
C J
D I
E F
G H
GATE 2016 Civil Engineering Set-2
CE(2) 4/15
Q.14 Profile of a weir on permeable foundation is shown in figure I and an elementary profile of
'upstream pile only case' according to Khosla's theory is shown in figure II. The uplift pressure
heads at key points Q, R and S are 3.14 m, 2.75 m and 0 m, respectively (refer figure II).
What is the uplift pressure head at point P downstream of the weir (junction of floor and pile as
shown in the figure I)?
(A) 2.75 m (B) 1.25 m (C) 0.8 m (D) Data not sufficient
Q.15 Water table of an aquifer drops by 100 cm over an area of 1000 km
2
. The porosity and specific
retention of the aquifer material are 25% and 5%, respectively. The amount of water (expressed in
km
3
) drained out from the area is _________
10 m 5 m 25 m
P
Weir
Gate
Floor
1 m
3 m
5 m
40 m
S
4 m
5 m
R
Q
Figure I
Figure II
GATE 2016 Civil Engineering Set-2
CE(2) 5/15
Q.16 Group I contains the types of fluids while Group II contains the shear stress - rate of shear
relationship of different types of fluids, as shown in the figure.
Group I Group II
P. Newtonian fluid 1. Curve 1
Q. Pseudo plastic fluid 2. Curve 2
R. Plastic fluid 3. Curve 3
S. Dilatant fluid 4. Curve 4
5. Curve 5
The correct match between Group I and Group II is
(A) P-2, Q-4, R-1, S-5 (B) P-2, Q-5, R-4, S-1
(C) P-2, Q-4, R-5, S-3 (D) P-2, Q-1, R-3, S-4
Q.17 The atmospheric layer closest to the earth surface is
(A) the mesosphere (B) the stratosphere
(C) the thermosphere (D) the troposphere
Q.18 A water supply board is responsible for treating 1500 m
3
/day of water. A settling column analysis
indicates that an overflow rate of 20 m/day will produce satisfactory removal for a depth of 3.1 m.
It is decided to have two circular settling tanks in parallel. The required diameter (expressed in m)
of the settling tanks is __________
Q.19 The hardness of a ground water sample was found to be 420 mg/L as CaCO
3
. A softener containing
ion exchange resins was installed to reduce the total hardness to 75 mg/L as CaCO
3
before
supplying to 4 households. Each household gets treated water at a rate of 540 L/day. If the
efficiency of the softener is 100%, the bypass flow rate (expressed in L/day) is _________
Q.20 The sound pressure (expressed in ?Pa) of the faintest sound that a normal healthy individual can
hear is
(A) 0.2 (B) 2 (C) 20 (D) 55
Q.21 In the context of the IRC 58-2011 guidelines for rigid pavement design, consider the following pair
of statements.
I: Radius of relative stiffness is directly related to modulus of elasticity of concrete and inversely
related to Poisson's ratio
II: Radius of relative stiffness is directly related to thickness of slab and modulus of subgrade
reaction.
Which one of the following combinations is correct?
(A) I: True; II: True (B) I: False; II: False
(C) I: True; II: False (D) I: False; II: True
Q.22 If the total number of commercial vehicles per day ranges from 3000 to 6000, the minimum
percentage of commercial traffic to be surveyed for axle load is
(A) 15 (B) 20 (C) 25 (D) 30
Rate of shear
Shear stress Yield stress
2
3
4
5
1
GATE 2016 Civil Engineering Set-2
CE(2) 6/15
Q.23 Optimal flight planning for a photogrammetric survey should be carried out considering
(A) only side-lap
(B) only end-lap
(C) either side-lap or end-lap
(D) both side-lap as well as end-lap
Q.24 The reduced bearing of a 10 m long line is N30?E. The departure of the line is
(A) 10.00 m (B) 8.66 m (C) 7.52 m (D) 5.00 m
Q.25 A circular curve of radius R connects two straights with a deflection angle of 60?. The tangent
length is
(A) 0.577 R (B) 1.155 R (C) 1.732 R (D) 3.464 R
Q. 26 ? Q. 55 carry two marks each
Q.26 Consider the following linear system.
???? + 2 ???? ? 3 ???? = ????
2 ???? + 3 ???? + 3 ???? = ????
5 ???? + 9 ???? ? 6 ???? = ????
This system is consistent if ???? , ???? and ???? satisfy the equation
(A) 7 ???? ? ???? ? ???? = 0 (B) 3 ???? + ???? ? ???? = 0 (C) 3 ???? ? ???? + ???? = 0 (D) 7 ???? ? ???? + ???? = 0
Q.27 If ???? ( ???? ) and ???? ( ???? ) are two probability density functions,
???? ( ???? ) =
?
?
?
?
?
???? ???? + 1 ? ? ???? ? ???? < 0
?
???? ???? + 1 ? 0 ? ???? ? ???? 0 ? ???????? ? ????????????????????????
???? ( ???? ) =
?
?
?
?
? ?
???? ???? ? ? ???? ? ???? < 0
???? ???? ? 0 ? ???? ? ???? 0 ? ???????? ? ????????????????????????
Which one of the following statements is true?
(A) Mean of ???? ( ???? ) and ???? ( ???? ) are same; Variance of ???? ( ???? ) and ???? ( ???? ) are same
(B) Mean of ???? ( ???? ) and ???? ( ???? ) are same; Variance of ???? ( ???? ) and ???? ( ???? ) are different
(C) Mean of ???? ( ???? ) and ???? ( ???? ) are different; Variance of ???? ( ???? ) and ???? ( ???? ) are same
(D) Mean of ???? ( ???? ) and ???? ( ???? ) are different; Variance of ???? ( ???? ) and ???? ( ???? ) are different
Q.28 The angle of intersection of the curves ???? 2
= 4 ???? and ???? 2
= 4 ???? at point (0, 0) is
(A) 0
o
(B) 30
o
(C) 45
o
(D) 90
o
GATE 2016 Civil Engineering Set-2
CE(2) 7/15
Q.29 The area between the parabola ???? 2
= 8 ???? and the straight line y = 8 is _________.
Q.30 The quadratic approximation of ???? ( ???? ) = ???? 3
? 3 ???? 2
? 5 at the point ???? = 0 is
(A) 3 ???? 2
? 6 ???? ? 5 (B) ?3 ???? 2
? 5
(C) ?3 ???? 2
+ 6 ???? ? 5 (D) 3 ???? 2
? 5
Q.31 An elastic isotropic body is in a hydrostatic state of stress as shown in the figure. For no change in
the volume to occur, what should be its Poisson's ratio?
(A) 0.00 (B) 0.25 (C) 0.50 (D) 1.00
Q.32 For the stress state (in MPa) shown in the figure, the major principal stress is 10 MPa.
The shear stress ? is
(A) 10.0 MPa (B) 5.0 MPa (C) 2.5 MPa (D) 0.0 MPa
5
5
5
5
?
?
y
?
x
?
z
GATE 2016 Civil Engineering Set-2
CE(2) 8/15
Q.33 The portal frame shown in the figure is subjected to a uniformly distributed vertical load w (per unit
length).
The bending moment in the beam at the joint ?Q? is
(A) zero
(B)
24
2
wL
(hogging)
(C)
12
2
wL
(hogging) (D)
8
2
wL
(sagging)
Q.34 Consider the structural system shown in the figure under the action of weight W. All the joints are
hinged. The properties of the members in terms of length (L), area (A) and the modulus of elasticity
(E) are also given in the figure. Let L, A and E be 1 m, 0.05 m
2
and 30 ? 10
6
N/m
2
, respectively, and
W be 100 kN.
Which one of the following sets gives the correct values of the force, stress and change in length of
the horizontal member QR?
(A) Compressive force = 25 kN; Stress = 250 kN/m
2
; Shortening = 0.0118 m
(B) Compressive force = 14.14 kN; Stress = 141.4 kN/m
2
; Extension = 0.0118 m
(C) Compressive force = 100 kN; Stress = 1000 kN/m
2
; Shortening = 0.0417 m
(D) Compressive force = 100 kN; Stress = 1000 kN/m
2
; Extension = 0.0417 m
W
9 0 ?
P
9 0 ?
45 ?
45 ?
45 ?
45 ?
2 A , E
A , E A , E
A , E A , E
R Q
L
S
L
P
Q R
S
L/2
w
GATE 2016 Civil Engineering Set-2
CE(2) 9/15
Q.35 A haunched (varying depth) reinforced concrete beam is simply supported at both ends, as shown in
the figure. The beam is subjected to a uniformly distributed factored load of intensity 10 kN/m.
The design shear force (expressed in kN) at the section X-X of the beam is ______
Q.36 A 450 mm long plain concrete prism is subjected to the concentrated vertical loads as shown in the
figure. Cross section of the prism is given as 150 mm ? 150 mm. Considering linear stress
distribution across the cross-section, the modulus of rupture (expressed in MPa) is ________
Q.37 Two bolted plates under tension with alternative arrangement of bolt holes are shown in figures 1
and 2. The hole diameter, pitch, and gauge length are d, p and g, respectively.
Which one of the following conditions must be ensured to have higher net tensile capacity of
configuration shown in Figure 2 than that shown in Figure 1 ?
(A) gd p 2
2
> (B) gd p 4
2
< (C) gd p 4
2
>
(D) gd p 4 >
effective span = 20 m
10 kN/m
600 mm
400 mm
5 m
X
X
P P d
P
g
p
P
Figure 1 Figure 2
P
Q R
S
150 mm
11.25 kN
150 mm 150 mm
11.25 kN
GATE 2016 Civil Engineering Set-2
CE(2) 10/15
Q.38
A fixed-end beam is subjected to a concentrated load ( ) P as shown in the figure. The beam has
two different segments having different plastic moment capacities ( )
p p
M M 2 , as shown.
The minimum value of load ( ) P at which the beam would collapse (ultimate load) is
(A) L M
P
5 . 7 (B) L M
P
0 . 5 (C) L M
P
5 . 4 (D) L M
P
5 . 2
Q.39 The activity-on-arrow network of activities for a construction project is shown in the figure. The
durations (expressed in days) of the activities are mentioned below the arrows.
The critical duration for this construction project is
(A) 13 days (B) 14 days (C) 15 days (D) 16 days
Q.40 The seepage occurring through an earthen dam is represented by a flownet comprising of 10
equipotential drops and 20 flow channels. The coefficient of permeability of the soil is 3 mm/min
and the head loss is 5 m. The rate of seepage (expressed in cm
3
/s per m length of the dam) through
the earthen dam is _________
10
30
20
60
40 50
70
80 90
P
Q
R
S
T
U
W
X
V
2
3
4
3
5
3
3
2
2
L
L
2L/3
P
P
M
P
M 2
GATE 2016 Civil Engineering Set-2
CE(2) 11/15
Q.41 The soil profile at a site consists of a 5 m thick sand layer underlain by a c- ? soil as shown in
figure. The water table is found 1 m below the ground level. The entire soil mass is retained by a
concrete retaining wall and is in the active state. The back of the wall is smooth and vertical. The
total active earth pressure (expressed in kN/m
2
) at point A as per Rankine's theory is _________
Q.42 OMC-SP and MDD-SP denote the optimum moisture content and maximum dry density obtained
from standard Proctor compaction test, respectively. OMC-MP and MDD-MP denote the optimum
moisture content and maximum dry density obtained from the modified Proctor compaction test,
respectively. Which one of the following is correct?
(A) OMC-SP < OMC-MP and MDD-SP < MDD-MP
(B) OMC-SP > OMC-MP and MDD-SP < MDD-MP
(C) OMC-SP < OMC-MP and MDD-SP > MDD-MP
(D) OMC-SP > OMC-MP and MDD-SP > MDD-MP
Sand
?
sat
= 19 kN/m
3
,
?
w
= 9.81 kN/m
3
,
? ' = 32 ?
c- ? soil
?
sat
= 18.5 kN/m
3
,
?
w
= 9.81 kN/m
3
c' = 25 kN/m
2
, ? ' = 24 ?
1 m
4 m
3 m
A
?
bulk
= 16.5 kN/m
3
FirstRanker.com - FirstRanker's Choice
GATE 2016 General Aptitude ? GA Set-7
1/3
Q. 1 ? Q. 5 carry one mark each.
Q.1 If I were you, I __________ that laptop. It?s much too expensive.
(A) won?t buy (B) shan?t buy
(C) wouldn?t buy (D) would buy
Q.2 He turned a deaf ear to my request.
What does the underlined phrasal verb mean?
(A) ignored (B) appreciated (C) twisted (D) returned
Q.3 Choose the most appropriate set of words from the options given below to complete the following
sentence.
_________ ___________ is a will, _________ is a way.
(A) Wear, there, their (B) Were, their, there
(C) Where, there, there (D) Where, their, their
Q.4 (x % of y) + (y % of x) is equivalent to .
(A) 2 % of xy (B) 2 % of (xy/100) (C) xy % of 100 (D) 100 % of xy
Q.5 The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits
is greater than the original number by 54, find the original number.
(A) 39 (B) 57 (C) 66 (D) 93
GATE 2016 General Aptitude ? GA Set-7
2/3
Q. 6 ? Q. 10 carry two marks each.
Q.6 Two finance companies, P and Q, declared fixed annual rates of interest on the amounts invested
with them. The rates of interest offered by these companies may differ from year to year. Year-wise
annual rates of interest offered by these companies are shown by the line graph provided below.
If the amounts invested in the companies, P and Q, in 2006 are in the ratio 8:9, then the amounts
received after one year as interests from companies P and Q would be in the ratio:
(A) 2:3
(B) 3:4
(C) 6:7
(D) 4:3
Q.7 Today, we consider Ashoka as a great ruler because of the copious evidence he left behind in the
form of stone carved edicts. Historians tend to correlate greatness of a king at his time with the
availability of evidence today.
Which of the following can be logically inferred from the above sentences?
(A) Emperors who do not leave significant sculpted evidence are completely forgotten.
(B) Ashoka produced stone carved edicts to ensure that later historians will respect him.
(C) Statues of kings are a reminder of their greatness.
(D) A king?s greatness, as we know him today, is interpreted by historians.
7
9
8
10
7.5
6.5
6
6.5
8
9.5
8
9
8
4
2000 2001 2002 2003 2004 2005 2006
P Q
GATE 2016 General Aptitude ? GA Set-7
3/3
Q.8 Fact 1: Humans are mammals.
Fact 2: Some humans are engineers.
Fact 3: Engineers build houses.
If the above statements are facts, which of the following can be logically inferred?
I. All mammals build houses.
II. Engineers are mammals.
III. Some humans are not engineers.
(A) II only. (B) III only.
(C) I, II and III. (D) I only.
Q.9 A square pyramid has a base perimeter x, and the slant height is half of the perimeter. What is the
lateral surface area of the pyramid?
(A) x
2
(B) 0.75 x
2
(C) 0.50 x
2
(D) 0.25 x
2
END OF THE QUESTION PAPER
Q.10 Ananth takes 6 hours and Bharath takes 4 hours to read a book. Both started reading copies of the
book at the same time. After how many hours is the number of pages to be read by Ananth, twice
that to be read by Bharath? Assume Ananth and Bharath read all the pages with constant pace.
(A) 1 (B) 2 (C) 3 (D) 4
GATE 2016 Civil Engineering Set-2
CE(2) 1/15
Q. 1 ? Q. 25 carry one mark each
Q.1 The spot speeds (expressed in km/hr) observed at a road section are 66, 62, 45, 79, 32, 51, 56, 60,
53, and 49. The median speed (expressed in km/hr) is _________
(Note: answer with one decimal accuracy)
Q.2 The optimum value of the function f(x) = x
2
? 4x +2 is
(A) 2 (maximum) (B) 2 (minimum) (C) ?2 (maximum) (D) ?2 (minimum)
Q.3 The Fourier series of the function,
???? ( ???? ) = 0, ? ???? < ???? ? 0
= ???? ? ???? , 0 < ???? < ????
in the interval [? ???? , ???? ] is
???? ( ???? ) =
???? 4
+
2
???? ?
cos ???? 1
2
+
cos 3 ???? 3
2
+ ? ? ? ? + ?
sin ???? 1
+
sin 2 ???? 2
+
sin 3 ???? 3
+ ? ? . ?.
The convergence of the above Fourier series at ???? = 0 gives
(A)
6
1
2
1
2
?
=
?
?
= n
n
(B)
12
) 1 (
2
1
2
1
?
=
?
?
?
=
+
n
n
n
(C)
8 ) 1 2 (
1
2
1
2
?
=
?
?
?
= n
n
(D)
4 1 2
) 1 (
1
1
?
=
?
?
?
?
=
+
n
n
n
Q.4
X and Y are two random independent events. It is known that ( ) 40 . 0 = X P and
( ) . 7 . 0 = ?
C
Y X P Which one of the following is the value of ( ) Y X P ?
?
(A) 0.7 (B) 0.5 (C) 0.4 (D) 0.3
Q.5
What is the value of
22
0
0
lim
x
y
xy
xy
?
?
+
?
(A) 1 (B) ?1 (C) 0 (D) Limit does not exist
Q.6 The kinematic indeterminacy of the plane truss shown in the figure is
(A) 11 (B) 8 (C) 3 (D) 0
GATE 2016 Civil Engineering Set-2
CE(2) 2/15
Q.7 As per IS 456-2000 for the design of reinforced concrete beam, the maximum allowable shear
stress ( )
max c
? depends on the
(A) grade of concrete and grade of steel
(B) grade of concrete only
(C) grade of steel only
(D) grade of concrete and percentage of reinforcement
Q.8 An assembly made of a rigid arm A-B-C hinged at end A and supported by an elastic rope C-D at
end C is shown in the figure. The members may be assumed to be weightless and the lengths of the
respective members are as shown in the figure.
Under the action of a concentrated load P at C as shown, the magnitude of tension developed in the
rope is
(A)
2
3P
(B)
2
P
(C)
8
3P
(D) P 2
Q.9 As per Indian standards for bricks, minimum acceptable compressive strength of any class of burnt
clay bricks in dry state is
(A) 10.0 MPa (B) 7.5 MPa (C) 5.0 MPa (D) 3.5 MPa
B
P
L L
L
A D
C
Rope
Rigid arm
L
GATE 2016 Civil Engineering Set-2
CE(2) 3/15
Q.10 A construction project consists of twelve activities. The estimated duration (in days) required to
complete each of the activities along with the corresponding network diagram is shown below.
Activity Duration (days) Activity Duration (days)
A Inauguration 1 G Flooring 25
B Foundation work 7 H Electrification 7
C Structural construction-1 30 I Plumbing 7
D Structural construction-2 30 J Wood work 7
E Brick masonry work 25 K Coloring 3
F Plastering 7 L Handing over function 1
Total floats (in days) for the activities 5-7 and 11-12 for the project are, respectively,
(A) 25 and 1
(B) 1 and 1
(C) 0 and 0
(D) 81 and 0
Q.11 A strip footing is resting on the surface of a purely clayey soil deposit. If the width of the footing is
doubled, the ultimate bearing capacity of the soil
(A) becomes double (B) becomes half (C) becomes four-times (D) remains the same
Q.12 The relationship between the specific gravity of sand (G) and the hydraulic gradient (i) to initiate
quick condition in the sand layer having porosity of 30% is
(A) G = 0.7i + 1 (B) G = 1.43i ? 1
(C) G = 1.43i + 1 (D) G = 0.7i ? 1
Q.13 The results of a consolidation test on an undisturbed soil, sampled at a depth of 10 m below the
ground level are as follows:
Saturated unit weight : 16 kN/m
3
Pre-consolidation pressure : 90 kPa
The water table was encountered at the ground level. Assuming the unit weight of water as 10
kN/m
3
, the over-consolidation ratio of the soil is
(A) 0.67
(B) 1.50 (C) 1.77 (D) 2.00
1 2 3
4 6 8
10 11 12
5 7 9
A B K L
C J
D I
E F
G H
GATE 2016 Civil Engineering Set-2
CE(2) 4/15
Q.14 Profile of a weir on permeable foundation is shown in figure I and an elementary profile of
'upstream pile only case' according to Khosla's theory is shown in figure II. The uplift pressure
heads at key points Q, R and S are 3.14 m, 2.75 m and 0 m, respectively (refer figure II).
What is the uplift pressure head at point P downstream of the weir (junction of floor and pile as
shown in the figure I)?
(A) 2.75 m (B) 1.25 m (C) 0.8 m (D) Data not sufficient
Q.15 Water table of an aquifer drops by 100 cm over an area of 1000 km
2
. The porosity and specific
retention of the aquifer material are 25% and 5%, respectively. The amount of water (expressed in
km
3
) drained out from the area is _________
10 m 5 m 25 m
P
Weir
Gate
Floor
1 m
3 m
5 m
40 m
S
4 m
5 m
R
Q
Figure I
Figure II
GATE 2016 Civil Engineering Set-2
CE(2) 5/15
Q.16 Group I contains the types of fluids while Group II contains the shear stress - rate of shear
relationship of different types of fluids, as shown in the figure.
Group I Group II
P. Newtonian fluid 1. Curve 1
Q. Pseudo plastic fluid 2. Curve 2
R. Plastic fluid 3. Curve 3
S. Dilatant fluid 4. Curve 4
5. Curve 5
The correct match between Group I and Group II is
(A) P-2, Q-4, R-1, S-5 (B) P-2, Q-5, R-4, S-1
(C) P-2, Q-4, R-5, S-3 (D) P-2, Q-1, R-3, S-4
Q.17 The atmospheric layer closest to the earth surface is
(A) the mesosphere (B) the stratosphere
(C) the thermosphere (D) the troposphere
Q.18 A water supply board is responsible for treating 1500 m
3
/day of water. A settling column analysis
indicates that an overflow rate of 20 m/day will produce satisfactory removal for a depth of 3.1 m.
It is decided to have two circular settling tanks in parallel. The required diameter (expressed in m)
of the settling tanks is __________
Q.19 The hardness of a ground water sample was found to be 420 mg/L as CaCO
3
. A softener containing
ion exchange resins was installed to reduce the total hardness to 75 mg/L as CaCO
3
before
supplying to 4 households. Each household gets treated water at a rate of 540 L/day. If the
efficiency of the softener is 100%, the bypass flow rate (expressed in L/day) is _________
Q.20 The sound pressure (expressed in ?Pa) of the faintest sound that a normal healthy individual can
hear is
(A) 0.2 (B) 2 (C) 20 (D) 55
Q.21 In the context of the IRC 58-2011 guidelines for rigid pavement design, consider the following pair
of statements.
I: Radius of relative stiffness is directly related to modulus of elasticity of concrete and inversely
related to Poisson's ratio
II: Radius of relative stiffness is directly related to thickness of slab and modulus of subgrade
reaction.
Which one of the following combinations is correct?
(A) I: True; II: True (B) I: False; II: False
(C) I: True; II: False (D) I: False; II: True
Q.22 If the total number of commercial vehicles per day ranges from 3000 to 6000, the minimum
percentage of commercial traffic to be surveyed for axle load is
(A) 15 (B) 20 (C) 25 (D) 30
Rate of shear
Shear stress Yield stress
2
3
4
5
1
GATE 2016 Civil Engineering Set-2
CE(2) 6/15
Q.23 Optimal flight planning for a photogrammetric survey should be carried out considering
(A) only side-lap
(B) only end-lap
(C) either side-lap or end-lap
(D) both side-lap as well as end-lap
Q.24 The reduced bearing of a 10 m long line is N30?E. The departure of the line is
(A) 10.00 m (B) 8.66 m (C) 7.52 m (D) 5.00 m
Q.25 A circular curve of radius R connects two straights with a deflection angle of 60?. The tangent
length is
(A) 0.577 R (B) 1.155 R (C) 1.732 R (D) 3.464 R
Q. 26 ? Q. 55 carry two marks each
Q.26 Consider the following linear system.
???? + 2 ???? ? 3 ???? = ????
2 ???? + 3 ???? + 3 ???? = ????
5 ???? + 9 ???? ? 6 ???? = ????
This system is consistent if ???? , ???? and ???? satisfy the equation
(A) 7 ???? ? ???? ? ???? = 0 (B) 3 ???? + ???? ? ???? = 0 (C) 3 ???? ? ???? + ???? = 0 (D) 7 ???? ? ???? + ???? = 0
Q.27 If ???? ( ???? ) and ???? ( ???? ) are two probability density functions,
???? ( ???? ) =
?
?
?
?
?
???? ???? + 1 ? ? ???? ? ???? < 0
?
???? ???? + 1 ? 0 ? ???? ? ???? 0 ? ???????? ? ????????????????????????
???? ( ???? ) =
?
?
?
?
? ?
???? ???? ? ? ???? ? ???? < 0
???? ???? ? 0 ? ???? ? ???? 0 ? ???????? ? ????????????????????????
Which one of the following statements is true?
(A) Mean of ???? ( ???? ) and ???? ( ???? ) are same; Variance of ???? ( ???? ) and ???? ( ???? ) are same
(B) Mean of ???? ( ???? ) and ???? ( ???? ) are same; Variance of ???? ( ???? ) and ???? ( ???? ) are different
(C) Mean of ???? ( ???? ) and ???? ( ???? ) are different; Variance of ???? ( ???? ) and ???? ( ???? ) are same
(D) Mean of ???? ( ???? ) and ???? ( ???? ) are different; Variance of ???? ( ???? ) and ???? ( ???? ) are different
Q.28 The angle of intersection of the curves ???? 2
= 4 ???? and ???? 2
= 4 ???? at point (0, 0) is
(A) 0
o
(B) 30
o
(C) 45
o
(D) 90
o
GATE 2016 Civil Engineering Set-2
CE(2) 7/15
Q.29 The area between the parabola ???? 2
= 8 ???? and the straight line y = 8 is _________.
Q.30 The quadratic approximation of ???? ( ???? ) = ???? 3
? 3 ???? 2
? 5 at the point ???? = 0 is
(A) 3 ???? 2
? 6 ???? ? 5 (B) ?3 ???? 2
? 5
(C) ?3 ???? 2
+ 6 ???? ? 5 (D) 3 ???? 2
? 5
Q.31 An elastic isotropic body is in a hydrostatic state of stress as shown in the figure. For no change in
the volume to occur, what should be its Poisson's ratio?
(A) 0.00 (B) 0.25 (C) 0.50 (D) 1.00
Q.32 For the stress state (in MPa) shown in the figure, the major principal stress is 10 MPa.
The shear stress ? is
(A) 10.0 MPa (B) 5.0 MPa (C) 2.5 MPa (D) 0.0 MPa
5
5
5
5
?
?
y
?
x
?
z
GATE 2016 Civil Engineering Set-2
CE(2) 8/15
Q.33 The portal frame shown in the figure is subjected to a uniformly distributed vertical load w (per unit
length).
The bending moment in the beam at the joint ?Q? is
(A) zero
(B)
24
2
wL
(hogging)
(C)
12
2
wL
(hogging) (D)
8
2
wL
(sagging)
Q.34 Consider the structural system shown in the figure under the action of weight W. All the joints are
hinged. The properties of the members in terms of length (L), area (A) and the modulus of elasticity
(E) are also given in the figure. Let L, A and E be 1 m, 0.05 m
2
and 30 ? 10
6
N/m
2
, respectively, and
W be 100 kN.
Which one of the following sets gives the correct values of the force, stress and change in length of
the horizontal member QR?
(A) Compressive force = 25 kN; Stress = 250 kN/m
2
; Shortening = 0.0118 m
(B) Compressive force = 14.14 kN; Stress = 141.4 kN/m
2
; Extension = 0.0118 m
(C) Compressive force = 100 kN; Stress = 1000 kN/m
2
; Shortening = 0.0417 m
(D) Compressive force = 100 kN; Stress = 1000 kN/m
2
; Extension = 0.0417 m
W
9 0 ?
P
9 0 ?
45 ?
45 ?
45 ?
45 ?
2 A , E
A , E A , E
A , E A , E
R Q
L
S
L
P
Q R
S
L/2
w
GATE 2016 Civil Engineering Set-2
CE(2) 9/15
Q.35 A haunched (varying depth) reinforced concrete beam is simply supported at both ends, as shown in
the figure. The beam is subjected to a uniformly distributed factored load of intensity 10 kN/m.
The design shear force (expressed in kN) at the section X-X of the beam is ______
Q.36 A 450 mm long plain concrete prism is subjected to the concentrated vertical loads as shown in the
figure. Cross section of the prism is given as 150 mm ? 150 mm. Considering linear stress
distribution across the cross-section, the modulus of rupture (expressed in MPa) is ________
Q.37 Two bolted plates under tension with alternative arrangement of bolt holes are shown in figures 1
and 2. The hole diameter, pitch, and gauge length are d, p and g, respectively.
Which one of the following conditions must be ensured to have higher net tensile capacity of
configuration shown in Figure 2 than that shown in Figure 1 ?
(A) gd p 2
2
> (B) gd p 4
2
< (C) gd p 4
2
>
(D) gd p 4 >
effective span = 20 m
10 kN/m
600 mm
400 mm
5 m
X
X
P P d
P
g
p
P
Figure 1 Figure 2
P
Q R
S
150 mm
11.25 kN
150 mm 150 mm
11.25 kN
GATE 2016 Civil Engineering Set-2
CE(2) 10/15
Q.38
A fixed-end beam is subjected to a concentrated load ( ) P as shown in the figure. The beam has
two different segments having different plastic moment capacities ( )
p p
M M 2 , as shown.
The minimum value of load ( ) P at which the beam would collapse (ultimate load) is
(A) L M
P
5 . 7 (B) L M
P
0 . 5 (C) L M
P
5 . 4 (D) L M
P
5 . 2
Q.39 The activity-on-arrow network of activities for a construction project is shown in the figure. The
durations (expressed in days) of the activities are mentioned below the arrows.
The critical duration for this construction project is
(A) 13 days (B) 14 days (C) 15 days (D) 16 days
Q.40 The seepage occurring through an earthen dam is represented by a flownet comprising of 10
equipotential drops and 20 flow channels. The coefficient of permeability of the soil is 3 mm/min
and the head loss is 5 m. The rate of seepage (expressed in cm
3
/s per m length of the dam) through
the earthen dam is _________
10
30
20
60
40 50
70
80 90
P
Q
R
S
T
U
W
X
V
2
3
4
3
5
3
3
2
2
L
L
2L/3
P
P
M
P
M 2
GATE 2016 Civil Engineering Set-2
CE(2) 11/15
Q.41 The soil profile at a site consists of a 5 m thick sand layer underlain by a c- ? soil as shown in
figure. The water table is found 1 m below the ground level. The entire soil mass is retained by a
concrete retaining wall and is in the active state. The back of the wall is smooth and vertical. The
total active earth pressure (expressed in kN/m
2
) at point A as per Rankine's theory is _________
Q.42 OMC-SP and MDD-SP denote the optimum moisture content and maximum dry density obtained
from standard Proctor compaction test, respectively. OMC-MP and MDD-MP denote the optimum
moisture content and maximum dry density obtained from the modified Proctor compaction test,
respectively. Which one of the following is correct?
(A) OMC-SP < OMC-MP and MDD-SP < MDD-MP
(B) OMC-SP > OMC-MP and MDD-SP < MDD-MP
(C) OMC-SP < OMC-MP and MDD-SP > MDD-MP
(D) OMC-SP > OMC-MP and MDD-SP > MDD-MP
Sand
?
sat
= 19 kN/m
3
,
?
w
= 9.81 kN/m
3
,
? ' = 32 ?
c- ? soil
?
sat
= 18.5 kN/m
3
,
?
w
= 9.81 kN/m
3
c' = 25 kN/m
2
, ? ' = 24 ?
1 m
4 m
3 m
A
?
bulk
= 16.5 kN/m
3
GATE 2016 Civil Engineering Set-2
CE(2) 12/15
Q.43 Water flows from P to Q through two soil samples, Soil 1 and Soil 2, having cross sectional area of
80 cm
2
as shown in the figure. Over a period of 15 minutes, 200 ml of water was observed to pass
through any cross section. The flow conditions can be assumed to be steady state. If the coefficient
of permeability of Soil 1 is 0.02 mm/s, the coefficient of permeability of Soil 2 (expressed in
mm/s) would be ________
Soil 1 Soil 2
600 mm
150 mm 150 mm
300 mm
P
Q
FirstRanker.com - FirstRanker's Choice
GATE 2016 General Aptitude ? GA Set-7
1/3
Q. 1 ? Q. 5 carry one mark each.
Q.1 If I were you, I __________ that laptop. It?s much too expensive.
(A) won?t buy (B) shan?t buy
(C) wouldn?t buy (D) would buy
Q.2 He turned a deaf ear to my request.
What does the underlined phrasal verb mean?
(A) ignored (B) appreciated (C) twisted (D) returned
Q.3 Choose the most appropriate set of words from the options given below to complete the following
sentence.
_________ ___________ is a will, _________ is a way.
(A) Wear, there, their (B) Were, their, there
(C) Where, there, there (D) Where, their, their
Q.4 (x % of y) + (y % of x) is equivalent to .
(A) 2 % of xy (B) 2 % of (xy/100) (C) xy % of 100 (D) 100 % of xy
Q.5 The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits
is greater than the original number by 54, find the original number.
(A) 39 (B) 57 (C) 66 (D) 93
GATE 2016 General Aptitude ? GA Set-7
2/3
Q. 6 ? Q. 10 carry two marks each.
Q.6 Two finance companies, P and Q, declared fixed annual rates of interest on the amounts invested
with them. The rates of interest offered by these companies may differ from year to year. Year-wise
annual rates of interest offered by these companies are shown by the line graph provided below.
If the amounts invested in the companies, P and Q, in 2006 are in the ratio 8:9, then the amounts
received after one year as interests from companies P and Q would be in the ratio:
(A) 2:3
(B) 3:4
(C) 6:7
(D) 4:3
Q.7 Today, we consider Ashoka as a great ruler because of the copious evidence he left behind in the
form of stone carved edicts. Historians tend to correlate greatness of a king at his time with the
availability of evidence today.
Which of the following can be logically inferred from the above sentences?
(A) Emperors who do not leave significant sculpted evidence are completely forgotten.
(B) Ashoka produced stone carved edicts to ensure that later historians will respect him.
(C) Statues of kings are a reminder of their greatness.
(D) A king?s greatness, as we know him today, is interpreted by historians.
7
9
8
10
7.5
6.5
6
6.5
8
9.5
8
9
8
4
2000 2001 2002 2003 2004 2005 2006
P Q
GATE 2016 General Aptitude ? GA Set-7
3/3
Q.8 Fact 1: Humans are mammals.
Fact 2: Some humans are engineers.
Fact 3: Engineers build houses.
If the above statements are facts, which of the following can be logically inferred?
I. All mammals build houses.
II. Engineers are mammals.
III. Some humans are not engineers.
(A) II only. (B) III only.
(C) I, II and III. (D) I only.
Q.9 A square pyramid has a base perimeter x, and the slant height is half of the perimeter. What is the
lateral surface area of the pyramid?
(A) x
2
(B) 0.75 x
2
(C) 0.50 x
2
(D) 0.25 x
2
END OF THE QUESTION PAPER
Q.10 Ananth takes 6 hours and Bharath takes 4 hours to read a book. Both started reading copies of the
book at the same time. After how many hours is the number of pages to be read by Ananth, twice
that to be read by Bharath? Assume Ananth and Bharath read all the pages with constant pace.
(A) 1 (B) 2 (C) 3 (D) 4
GATE 2016 Civil Engineering Set-2
CE(2) 1/15
Q. 1 ? Q. 25 carry one mark each
Q.1 The spot speeds (expressed in km/hr) observed at a road section are 66, 62, 45, 79, 32, 51, 56, 60,
53, and 49. The median speed (expressed in km/hr) is _________
(Note: answer with one decimal accuracy)
Q.2 The optimum value of the function f(x) = x
2
? 4x +2 is
(A) 2 (maximum) (B) 2 (minimum) (C) ?2 (maximum) (D) ?2 (minimum)
Q.3 The Fourier series of the function,
???? ( ???? ) = 0, ? ???? < ???? ? 0
= ???? ? ???? , 0 < ???? < ????
in the interval [? ???? , ???? ] is
???? ( ???? ) =
???? 4
+
2
???? ?
cos ???? 1
2
+
cos 3 ???? 3
2
+ ? ? ? ? + ?
sin ???? 1
+
sin 2 ???? 2
+
sin 3 ???? 3
+ ? ? . ?.
The convergence of the above Fourier series at ???? = 0 gives
(A)
6
1
2
1
2
?
=
?
?
= n
n
(B)
12
) 1 (
2
1
2
1
?
=
?
?
?
=
+
n
n
n
(C)
8 ) 1 2 (
1
2
1
2
?
=
?
?
?
= n
n
(D)
4 1 2
) 1 (
1
1
?
=
?
?
?
?
=
+
n
n
n
Q.4
X and Y are two random independent events. It is known that ( ) 40 . 0 = X P and
( ) . 7 . 0 = ?
C
Y X P Which one of the following is the value of ( ) Y X P ?
?
(A) 0.7 (B) 0.5 (C) 0.4 (D) 0.3
Q.5
What is the value of
22
0
0
lim
x
y
xy
xy
?
?
+
?
(A) 1 (B) ?1 (C) 0 (D) Limit does not exist
Q.6 The kinematic indeterminacy of the plane truss shown in the figure is
(A) 11 (B) 8 (C) 3 (D) 0
GATE 2016 Civil Engineering Set-2
CE(2) 2/15
Q.7 As per IS 456-2000 for the design of reinforced concrete beam, the maximum allowable shear
stress ( )
max c
? depends on the
(A) grade of concrete and grade of steel
(B) grade of concrete only
(C) grade of steel only
(D) grade of concrete and percentage of reinforcement
Q.8 An assembly made of a rigid arm A-B-C hinged at end A and supported by an elastic rope C-D at
end C is shown in the figure. The members may be assumed to be weightless and the lengths of the
respective members are as shown in the figure.
Under the action of a concentrated load P at C as shown, the magnitude of tension developed in the
rope is
(A)
2
3P
(B)
2
P
(C)
8
3P
(D) P 2
Q.9 As per Indian standards for bricks, minimum acceptable compressive strength of any class of burnt
clay bricks in dry state is
(A) 10.0 MPa (B) 7.5 MPa (C) 5.0 MPa (D) 3.5 MPa
B
P
L L
L
A D
C
Rope
Rigid arm
L
GATE 2016 Civil Engineering Set-2
CE(2) 3/15
Q.10 A construction project consists of twelve activities. The estimated duration (in days) required to
complete each of the activities along with the corresponding network diagram is shown below.
Activity Duration (days) Activity Duration (days)
A Inauguration 1 G Flooring 25
B Foundation work 7 H Electrification 7
C Structural construction-1 30 I Plumbing 7
D Structural construction-2 30 J Wood work 7
E Brick masonry work 25 K Coloring 3
F Plastering 7 L Handing over function 1
Total floats (in days) for the activities 5-7 and 11-12 for the project are, respectively,
(A) 25 and 1
(B) 1 and 1
(C) 0 and 0
(D) 81 and 0
Q.11 A strip footing is resting on the surface of a purely clayey soil deposit. If the width of the footing is
doubled, the ultimate bearing capacity of the soil
(A) becomes double (B) becomes half (C) becomes four-times (D) remains the same
Q.12 The relationship between the specific gravity of sand (G) and the hydraulic gradient (i) to initiate
quick condition in the sand layer having porosity of 30% is
(A) G = 0.7i + 1 (B) G = 1.43i ? 1
(C) G = 1.43i + 1 (D) G = 0.7i ? 1
Q.13 The results of a consolidation test on an undisturbed soil, sampled at a depth of 10 m below the
ground level are as follows:
Saturated unit weight : 16 kN/m
3
Pre-consolidation pressure : 90 kPa
The water table was encountered at the ground level. Assuming the unit weight of water as 10
kN/m
3
, the over-consolidation ratio of the soil is
(A) 0.67
(B) 1.50 (C) 1.77 (D) 2.00
1 2 3
4 6 8
10 11 12
5 7 9
A B K L
C J
D I
E F
G H
GATE 2016 Civil Engineering Set-2
CE(2) 4/15
Q.14 Profile of a weir on permeable foundation is shown in figure I and an elementary profile of
'upstream pile only case' according to Khosla's theory is shown in figure II. The uplift pressure
heads at key points Q, R and S are 3.14 m, 2.75 m and 0 m, respectively (refer figure II).
What is the uplift pressure head at point P downstream of the weir (junction of floor and pile as
shown in the figure I)?
(A) 2.75 m (B) 1.25 m (C) 0.8 m (D) Data not sufficient
Q.15 Water table of an aquifer drops by 100 cm over an area of 1000 km
2
. The porosity and specific
retention of the aquifer material are 25% and 5%, respectively. The amount of water (expressed in
km
3
) drained out from the area is _________
10 m 5 m 25 m
P
Weir
Gate
Floor
1 m
3 m
5 m
40 m
S
4 m
5 m
R
Q
Figure I
Figure II
GATE 2016 Civil Engineering Set-2
CE(2) 5/15
Q.16 Group I contains the types of fluids while Group II contains the shear stress - rate of shear
relationship of different types of fluids, as shown in the figure.
Group I Group II
P. Newtonian fluid 1. Curve 1
Q. Pseudo plastic fluid 2. Curve 2
R. Plastic fluid 3. Curve 3
S. Dilatant fluid 4. Curve 4
5. Curve 5
The correct match between Group I and Group II is
(A) P-2, Q-4, R-1, S-5 (B) P-2, Q-5, R-4, S-1
(C) P-2, Q-4, R-5, S-3 (D) P-2, Q-1, R-3, S-4
Q.17 The atmospheric layer closest to the earth surface is
(A) the mesosphere (B) the stratosphere
(C) the thermosphere (D) the troposphere
Q.18 A water supply board is responsible for treating 1500 m
3
/day of water. A settling column analysis
indicates that an overflow rate of 20 m/day will produce satisfactory removal for a depth of 3.1 m.
It is decided to have two circular settling tanks in parallel. The required diameter (expressed in m)
of the settling tanks is __________
Q.19 The hardness of a ground water sample was found to be 420 mg/L as CaCO
3
. A softener containing
ion exchange resins was installed to reduce the total hardness to 75 mg/L as CaCO
3
before
supplying to 4 households. Each household gets treated water at a rate of 540 L/day. If the
efficiency of the softener is 100%, the bypass flow rate (expressed in L/day) is _________
Q.20 The sound pressure (expressed in ?Pa) of the faintest sound that a normal healthy individual can
hear is
(A) 0.2 (B) 2 (C) 20 (D) 55
Q.21 In the context of the IRC 58-2011 guidelines for rigid pavement design, consider the following pair
of statements.
I: Radius of relative stiffness is directly related to modulus of elasticity of concrete and inversely
related to Poisson's ratio
II: Radius of relative stiffness is directly related to thickness of slab and modulus of subgrade
reaction.
Which one of the following combinations is correct?
(A) I: True; II: True (B) I: False; II: False
(C) I: True; II: False (D) I: False; II: True
Q.22 If the total number of commercial vehicles per day ranges from 3000 to 6000, the minimum
percentage of commercial traffic to be surveyed for axle load is
(A) 15 (B) 20 (C) 25 (D) 30
Rate of shear
Shear stress Yield stress
2
3
4
5
1
GATE 2016 Civil Engineering Set-2
CE(2) 6/15
Q.23 Optimal flight planning for a photogrammetric survey should be carried out considering
(A) only side-lap
(B) only end-lap
(C) either side-lap or end-lap
(D) both side-lap as well as end-lap
Q.24 The reduced bearing of a 10 m long line is N30?E. The departure of the line is
(A) 10.00 m (B) 8.66 m (C) 7.52 m (D) 5.00 m
Q.25 A circular curve of radius R connects two straights with a deflection angle of 60?. The tangent
length is
(A) 0.577 R (B) 1.155 R (C) 1.732 R (D) 3.464 R
Q. 26 ? Q. 55 carry two marks each
Q.26 Consider the following linear system.
???? + 2 ???? ? 3 ???? = ????
2 ???? + 3 ???? + 3 ???? = ????
5 ???? + 9 ???? ? 6 ???? = ????
This system is consistent if ???? , ???? and ???? satisfy the equation
(A) 7 ???? ? ???? ? ???? = 0 (B) 3 ???? + ???? ? ???? = 0 (C) 3 ???? ? ???? + ???? = 0 (D) 7 ???? ? ???? + ???? = 0
Q.27 If ???? ( ???? ) and ???? ( ???? ) are two probability density functions,
???? ( ???? ) =
?
?
?
?
?
???? ???? + 1 ? ? ???? ? ???? < 0
?
???? ???? + 1 ? 0 ? ???? ? ???? 0 ? ???????? ? ????????????????????????
???? ( ???? ) =
?
?
?
?
? ?
???? ???? ? ? ???? ? ???? < 0
???? ???? ? 0 ? ???? ? ???? 0 ? ???????? ? ????????????????????????
Which one of the following statements is true?
(A) Mean of ???? ( ???? ) and ???? ( ???? ) are same; Variance of ???? ( ???? ) and ???? ( ???? ) are same
(B) Mean of ???? ( ???? ) and ???? ( ???? ) are same; Variance of ???? ( ???? ) and ???? ( ???? ) are different
(C) Mean of ???? ( ???? ) and ???? ( ???? ) are different; Variance of ???? ( ???? ) and ???? ( ???? ) are same
(D) Mean of ???? ( ???? ) and ???? ( ???? ) are different; Variance of ???? ( ???? ) and ???? ( ???? ) are different
Q.28 The angle of intersection of the curves ???? 2
= 4 ???? and ???? 2
= 4 ???? at point (0, 0) is
(A) 0
o
(B) 30
o
(C) 45
o
(D) 90
o
GATE 2016 Civil Engineering Set-2
CE(2) 7/15
Q.29 The area between the parabola ???? 2
= 8 ???? and the straight line y = 8 is _________.
Q.30 The quadratic approximation of ???? ( ???? ) = ???? 3
? 3 ???? 2
? 5 at the point ???? = 0 is
(A) 3 ???? 2
? 6 ???? ? 5 (B) ?3 ???? 2
? 5
(C) ?3 ???? 2
+ 6 ???? ? 5 (D) 3 ???? 2
? 5
Q.31 An elastic isotropic body is in a hydrostatic state of stress as shown in the figure. For no change in
the volume to occur, what should be its Poisson's ratio?
(A) 0.00 (B) 0.25 (C) 0.50 (D) 1.00
Q.32 For the stress state (in MPa) shown in the figure, the major principal stress is 10 MPa.
The shear stress ? is
(A) 10.0 MPa (B) 5.0 MPa (C) 2.5 MPa (D) 0.0 MPa
5
5
5
5
?
?
y
?
x
?
z
GATE 2016 Civil Engineering Set-2
CE(2) 8/15
Q.33 The portal frame shown in the figure is subjected to a uniformly distributed vertical load w (per unit
length).
The bending moment in the beam at the joint ?Q? is
(A) zero
(B)
24
2
wL
(hogging)
(C)
12
2
wL
(hogging) (D)
8
2
wL
(sagging)
Q.34 Consider the structural system shown in the figure under the action of weight W. All the joints are
hinged. The properties of the members in terms of length (L), area (A) and the modulus of elasticity
(E) are also given in the figure. Let L, A and E be 1 m, 0.05 m
2
and 30 ? 10
6
N/m
2
, respectively, and
W be 100 kN.
Which one of the following sets gives the correct values of the force, stress and change in length of
the horizontal member QR?
(A) Compressive force = 25 kN; Stress = 250 kN/m
2
; Shortening = 0.0118 m
(B) Compressive force = 14.14 kN; Stress = 141.4 kN/m
2
; Extension = 0.0118 m
(C) Compressive force = 100 kN; Stress = 1000 kN/m
2
; Shortening = 0.0417 m
(D) Compressive force = 100 kN; Stress = 1000 kN/m
2
; Extension = 0.0417 m
W
9 0 ?
P
9 0 ?
45 ?
45 ?
45 ?
45 ?
2 A , E
A , E A , E
A , E A , E
R Q
L
S
L
P
Q R
S
L/2
w
GATE 2016 Civil Engineering Set-2
CE(2) 9/15
Q.35 A haunched (varying depth) reinforced concrete beam is simply supported at both ends, as shown in
the figure. The beam is subjected to a uniformly distributed factored load of intensity 10 kN/m.
The design shear force (expressed in kN) at the section X-X of the beam is ______
Q.36 A 450 mm long plain concrete prism is subjected to the concentrated vertical loads as shown in the
figure. Cross section of the prism is given as 150 mm ? 150 mm. Considering linear stress
distribution across the cross-section, the modulus of rupture (expressed in MPa) is ________
Q.37 Two bolted plates under tension with alternative arrangement of bolt holes are shown in figures 1
and 2. The hole diameter, pitch, and gauge length are d, p and g, respectively.
Which one of the following conditions must be ensured to have higher net tensile capacity of
configuration shown in Figure 2 than that shown in Figure 1 ?
(A) gd p 2
2
> (B) gd p 4
2
< (C) gd p 4
2
>
(D) gd p 4 >
effective span = 20 m
10 kN/m
600 mm
400 mm
5 m
X
X
P P d
P
g
p
P
Figure 1 Figure 2
P
Q R
S
150 mm
11.25 kN
150 mm 150 mm
11.25 kN
GATE 2016 Civil Engineering Set-2
CE(2) 10/15
Q.38
A fixed-end beam is subjected to a concentrated load ( ) P as shown in the figure. The beam has
two different segments having different plastic moment capacities ( )
p p
M M 2 , as shown.
The minimum value of load ( ) P at which the beam would collapse (ultimate load) is
(A) L M
P
5 . 7 (B) L M
P
0 . 5 (C) L M
P
5 . 4 (D) L M
P
5 . 2
Q.39 The activity-on-arrow network of activities for a construction project is shown in the figure. The
durations (expressed in days) of the activities are mentioned below the arrows.
The critical duration for this construction project is
(A) 13 days (B) 14 days (C) 15 days (D) 16 days
Q.40 The seepage occurring through an earthen dam is represented by a flownet comprising of 10
equipotential drops and 20 flow channels. The coefficient of permeability of the soil is 3 mm/min
and the head loss is 5 m. The rate of seepage (expressed in cm
3
/s per m length of the dam) through
the earthen dam is _________
10
30
20
60
40 50
70
80 90
P
Q
R
S
T
U
W
X
V
2
3
4
3
5
3
3
2
2
L
L
2L/3
P
P
M
P
M 2
GATE 2016 Civil Engineering Set-2
CE(2) 11/15
Q.41 The soil profile at a site consists of a 5 m thick sand layer underlain by a c- ? soil as shown in
figure. The water table is found 1 m below the ground level. The entire soil mass is retained by a
concrete retaining wall and is in the active state. The back of the wall is smooth and vertical. The
total active earth pressure (expressed in kN/m
2
) at point A as per Rankine's theory is _________
Q.42 OMC-SP and MDD-SP denote the optimum moisture content and maximum dry density obtained
from standard Proctor compaction test, respectively. OMC-MP and MDD-MP denote the optimum
moisture content and maximum dry density obtained from the modified Proctor compaction test,
respectively. Which one of the following is correct?
(A) OMC-SP < OMC-MP and MDD-SP < MDD-MP
(B) OMC-SP > OMC-MP and MDD-SP < MDD-MP
(C) OMC-SP < OMC-MP and MDD-SP > MDD-MP
(D) OMC-SP > OMC-MP and MDD-SP > MDD-MP
Sand
?
sat
= 19 kN/m
3
,
?
w
= 9.81 kN/m
3
,
? ' = 32 ?
c- ? soil
?
sat
= 18.5 kN/m
3
,
?
w
= 9.81 kN/m
3
c' = 25 kN/m
2
, ? ' = 24 ?
1 m
4 m
3 m
A
?
bulk
= 16.5 kN/m
3
GATE 2016 Civil Engineering Set-2
CE(2) 12/15
Q.43 Water flows from P to Q through two soil samples, Soil 1 and Soil 2, having cross sectional area of
80 cm
2
as shown in the figure. Over a period of 15 minutes, 200 ml of water was observed to pass
through any cross section. The flow conditions can be assumed to be steady state. If the coefficient
of permeability of Soil 1 is 0.02 mm/s, the coefficient of permeability of Soil 2 (expressed in
mm/s) would be ________
Soil 1 Soil 2
600 mm
150 mm 150 mm
300 mm
P
Q
GATE 2016 Civil Engineering Set-2
CE(2) 13/15
Q.44 A 4 m wide strip footing is founded at a depth of 1.5 m below the ground surface in a c- ? soil as
shown in the figure. The water table is at a depth of 5.5 m below ground surface. The soil properties
are: c' = 35 kN/m
2
, ?' = 28.63 ?, ?
sat
= 19 kN/m
3
, ?
bulk
= 17 kN/m
3
and ?
w
= 9.81 kN/m
3
. The values
of bearing capacity factors for different ?' are given below.
?' N
c
N
q
N
?
15 ? 12.9 4.4 2.5
20 ? 17.7 7.4 5.0
25 ? 25.1 12.7 9.7
30 ? 37.2 22.5 19.7
.
Using Terzaghi's bearing capacity equation and a factor of safety F
s
= 2.5, the net safe bearing
capacity (expressed in kN/m
2
) for local shear failure of the soil is __________
Q.45 A square plate is suspended vertically from one of its edges using a hinge support as shown in
figure. A water jet of 20 mm diameter having a velocity of 10 m/s strikes the plate at its mid-point,
at an angle of 30? with the vertical. Consider g as 9.81 m/s
2
and neglect the self-weight of the plate.
The force F (expressed in N) required to keep the plate in its vertical position is _________
Q.46 The ordinates of a one-hour unit hydrograph at sixty minute interval are 0, 3, 12, 8, 6, 3 and 0 m
3
/s.
A two-hour storm of 4 cm excess rainfall occurred in the basin from 10 AM. Considering constant
base flow of 20 m
3
/s, the flow of the river (expressed in m
3
/s) at 1 PM is _________
Water jet
F
20 mm
30
0
200 mm
Plate
5.5 m
1.5 m
4 m
FirstRanker.com - FirstRanker's Choice
GATE 2016 General Aptitude ? GA Set-7
1/3
Q. 1 ? Q. 5 carry one mark each.
Q.1 If I were you, I __________ that laptop. It?s much too expensive.
(A) won?t buy (B) shan?t buy
(C) wouldn?t buy (D) would buy
Q.2 He turned a deaf ear to my request.
What does the underlined phrasal verb mean?
(A) ignored (B) appreciated (C) twisted (D) returned
Q.3 Choose the most appropriate set of words from the options given below to complete the following
sentence.
_________ ___________ is a will, _________ is a way.
(A) Wear, there, their (B) Were, their, there
(C) Where, there, there (D) Where, their, their
Q.4 (x % of y) + (y % of x) is equivalent to .
(A) 2 % of xy (B) 2 % of (xy/100) (C) xy % of 100 (D) 100 % of xy
Q.5 The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits
is greater than the original number by 54, find the original number.
(A) 39 (B) 57 (C) 66 (D) 93
GATE 2016 General Aptitude ? GA Set-7
2/3
Q. 6 ? Q. 10 carry two marks each.
Q.6 Two finance companies, P and Q, declared fixed annual rates of interest on the amounts invested
with them. The rates of interest offered by these companies may differ from year to year. Year-wise
annual rates of interest offered by these companies are shown by the line graph provided below.
If the amounts invested in the companies, P and Q, in 2006 are in the ratio 8:9, then the amounts
received after one year as interests from companies P and Q would be in the ratio:
(A) 2:3
(B) 3:4
(C) 6:7
(D) 4:3
Q.7 Today, we consider Ashoka as a great ruler because of the copious evidence he left behind in the
form of stone carved edicts. Historians tend to correlate greatness of a king at his time with the
availability of evidence today.
Which of the following can be logically inferred from the above sentences?
(A) Emperors who do not leave significant sculpted evidence are completely forgotten.
(B) Ashoka produced stone carved edicts to ensure that later historians will respect him.
(C) Statues of kings are a reminder of their greatness.
(D) A king?s greatness, as we know him today, is interpreted by historians.
7
9
8
10
7.5
6.5
6
6.5
8
9.5
8
9
8
4
2000 2001 2002 2003 2004 2005 2006
P Q
GATE 2016 General Aptitude ? GA Set-7
3/3
Q.8 Fact 1: Humans are mammals.
Fact 2: Some humans are engineers.
Fact 3: Engineers build houses.
If the above statements are facts, which of the following can be logically inferred?
I. All mammals build houses.
II. Engineers are mammals.
III. Some humans are not engineers.
(A) II only. (B) III only.
(C) I, II and III. (D) I only.
Q.9 A square pyramid has a base perimeter x, and the slant height is half of the perimeter. What is the
lateral surface area of the pyramid?
(A) x
2
(B) 0.75 x
2
(C) 0.50 x
2
(D) 0.25 x
2
END OF THE QUESTION PAPER
Q.10 Ananth takes 6 hours and Bharath takes 4 hours to read a book. Both started reading copies of the
book at the same time. After how many hours is the number of pages to be read by Ananth, twice
that to be read by Bharath? Assume Ananth and Bharath read all the pages with constant pace.
(A) 1 (B) 2 (C) 3 (D) 4
GATE 2016 Civil Engineering Set-2
CE(2) 1/15
Q. 1 ? Q. 25 carry one mark each
Q.1 The spot speeds (expressed in km/hr) observed at a road section are 66, 62, 45, 79, 32, 51, 56, 60,
53, and 49. The median speed (expressed in km/hr) is _________
(Note: answer with one decimal accuracy)
Q.2 The optimum value of the function f(x) = x
2
? 4x +2 is
(A) 2 (maximum) (B) 2 (minimum) (C) ?2 (maximum) (D) ?2 (minimum)
Q.3 The Fourier series of the function,
???? ( ???? ) = 0, ? ???? < ???? ? 0
= ???? ? ???? , 0 < ???? < ????
in the interval [? ???? , ???? ] is
???? ( ???? ) =
???? 4
+
2
???? ?
cos ???? 1
2
+
cos 3 ???? 3
2
+ ? ? ? ? + ?
sin ???? 1
+
sin 2 ???? 2
+
sin 3 ???? 3
+ ? ? . ?.
The convergence of the above Fourier series at ???? = 0 gives
(A)
6
1
2
1
2
?
=
?
?
= n
n
(B)
12
) 1 (
2
1
2
1
?
=
?
?
?
=
+
n
n
n
(C)
8 ) 1 2 (
1
2
1
2
?
=
?
?
?
= n
n
(D)
4 1 2
) 1 (
1
1
?
=
?
?
?
?
=
+
n
n
n
Q.4
X and Y are two random independent events. It is known that ( ) 40 . 0 = X P and
( ) . 7 . 0 = ?
C
Y X P Which one of the following is the value of ( ) Y X P ?
?
(A) 0.7 (B) 0.5 (C) 0.4 (D) 0.3
Q.5
What is the value of
22
0
0
lim
x
y
xy
xy
?
?
+
?
(A) 1 (B) ?1 (C) 0 (D) Limit does not exist
Q.6 The kinematic indeterminacy of the plane truss shown in the figure is
(A) 11 (B) 8 (C) 3 (D) 0
GATE 2016 Civil Engineering Set-2
CE(2) 2/15
Q.7 As per IS 456-2000 for the design of reinforced concrete beam, the maximum allowable shear
stress ( )
max c
? depends on the
(A) grade of concrete and grade of steel
(B) grade of concrete only
(C) grade of steel only
(D) grade of concrete and percentage of reinforcement
Q.8 An assembly made of a rigid arm A-B-C hinged at end A and supported by an elastic rope C-D at
end C is shown in the figure. The members may be assumed to be weightless and the lengths of the
respective members are as shown in the figure.
Under the action of a concentrated load P at C as shown, the magnitude of tension developed in the
rope is
(A)
2
3P
(B)
2
P
(C)
8
3P
(D) P 2
Q.9 As per Indian standards for bricks, minimum acceptable compressive strength of any class of burnt
clay bricks in dry state is
(A) 10.0 MPa (B) 7.5 MPa (C) 5.0 MPa (D) 3.5 MPa
B
P
L L
L
A D
C
Rope
Rigid arm
L
GATE 2016 Civil Engineering Set-2
CE(2) 3/15
Q.10 A construction project consists of twelve activities. The estimated duration (in days) required to
complete each of the activities along with the corresponding network diagram is shown below.
Activity Duration (days) Activity Duration (days)
A Inauguration 1 G Flooring 25
B Foundation work 7 H Electrification 7
C Structural construction-1 30 I Plumbing 7
D Structural construction-2 30 J Wood work 7
E Brick masonry work 25 K Coloring 3
F Plastering 7 L Handing over function 1
Total floats (in days) for the activities 5-7 and 11-12 for the project are, respectively,
(A) 25 and 1
(B) 1 and 1
(C) 0 and 0
(D) 81 and 0
Q.11 A strip footing is resting on the surface of a purely clayey soil deposit. If the width of the footing is
doubled, the ultimate bearing capacity of the soil
(A) becomes double (B) becomes half (C) becomes four-times (D) remains the same
Q.12 The relationship between the specific gravity of sand (G) and the hydraulic gradient (i) to initiate
quick condition in the sand layer having porosity of 30% is
(A) G = 0.7i + 1 (B) G = 1.43i ? 1
(C) G = 1.43i + 1 (D) G = 0.7i ? 1
Q.13 The results of a consolidation test on an undisturbed soil, sampled at a depth of 10 m below the
ground level are as follows:
Saturated unit weight : 16 kN/m
3
Pre-consolidation pressure : 90 kPa
The water table was encountered at the ground level. Assuming the unit weight of water as 10
kN/m
3
, the over-consolidation ratio of the soil is
(A) 0.67
(B) 1.50 (C) 1.77 (D) 2.00
1 2 3
4 6 8
10 11 12
5 7 9
A B K L
C J
D I
E F
G H
GATE 2016 Civil Engineering Set-2
CE(2) 4/15
Q.14 Profile of a weir on permeable foundation is shown in figure I and an elementary profile of
'upstream pile only case' according to Khosla's theory is shown in figure II. The uplift pressure
heads at key points Q, R and S are 3.14 m, 2.75 m and 0 m, respectively (refer figure II).
What is the uplift pressure head at point P downstream of the weir (junction of floor and pile as
shown in the figure I)?
(A) 2.75 m (B) 1.25 m (C) 0.8 m (D) Data not sufficient
Q.15 Water table of an aquifer drops by 100 cm over an area of 1000 km
2
. The porosity and specific
retention of the aquifer material are 25% and 5%, respectively. The amount of water (expressed in
km
3
) drained out from the area is _________
10 m 5 m 25 m
P
Weir
Gate
Floor
1 m
3 m
5 m
40 m
S
4 m
5 m
R
Q
Figure I
Figure II
GATE 2016 Civil Engineering Set-2
CE(2) 5/15
Q.16 Group I contains the types of fluids while Group II contains the shear stress - rate of shear
relationship of different types of fluids, as shown in the figure.
Group I Group II
P. Newtonian fluid 1. Curve 1
Q. Pseudo plastic fluid 2. Curve 2
R. Plastic fluid 3. Curve 3
S. Dilatant fluid 4. Curve 4
5. Curve 5
The correct match between Group I and Group II is
(A) P-2, Q-4, R-1, S-5 (B) P-2, Q-5, R-4, S-1
(C) P-2, Q-4, R-5, S-3 (D) P-2, Q-1, R-3, S-4
Q.17 The atmospheric layer closest to the earth surface is
(A) the mesosphere (B) the stratosphere
(C) the thermosphere (D) the troposphere
Q.18 A water supply board is responsible for treating 1500 m
3
/day of water. A settling column analysis
indicates that an overflow rate of 20 m/day will produce satisfactory removal for a depth of 3.1 m.
It is decided to have two circular settling tanks in parallel. The required diameter (expressed in m)
of the settling tanks is __________
Q.19 The hardness of a ground water sample was found to be 420 mg/L as CaCO
3
. A softener containing
ion exchange resins was installed to reduce the total hardness to 75 mg/L as CaCO
3
before
supplying to 4 households. Each household gets treated water at a rate of 540 L/day. If the
efficiency of the softener is 100%, the bypass flow rate (expressed in L/day) is _________
Q.20 The sound pressure (expressed in ?Pa) of the faintest sound that a normal healthy individual can
hear is
(A) 0.2 (B) 2 (C) 20 (D) 55
Q.21 In the context of the IRC 58-2011 guidelines for rigid pavement design, consider the following pair
of statements.
I: Radius of relative stiffness is directly related to modulus of elasticity of concrete and inversely
related to Poisson's ratio
II: Radius of relative stiffness is directly related to thickness of slab and modulus of subgrade
reaction.
Which one of the following combinations is correct?
(A) I: True; II: True (B) I: False; II: False
(C) I: True; II: False (D) I: False; II: True
Q.22 If the total number of commercial vehicles per day ranges from 3000 to 6000, the minimum
percentage of commercial traffic to be surveyed for axle load is
(A) 15 (B) 20 (C) 25 (D) 30
Rate of shear
Shear stress Yield stress
2
3
4
5
1
GATE 2016 Civil Engineering Set-2
CE(2) 6/15
Q.23 Optimal flight planning for a photogrammetric survey should be carried out considering
(A) only side-lap
(B) only end-lap
(C) either side-lap or end-lap
(D) both side-lap as well as end-lap
Q.24 The reduced bearing of a 10 m long line is N30?E. The departure of the line is
(A) 10.00 m (B) 8.66 m (C) 7.52 m (D) 5.00 m
Q.25 A circular curve of radius R connects two straights with a deflection angle of 60?. The tangent
length is
(A) 0.577 R (B) 1.155 R (C) 1.732 R (D) 3.464 R
Q. 26 ? Q. 55 carry two marks each
Q.26 Consider the following linear system.
???? + 2 ???? ? 3 ???? = ????
2 ???? + 3 ???? + 3 ???? = ????
5 ???? + 9 ???? ? 6 ???? = ????
This system is consistent if ???? , ???? and ???? satisfy the equation
(A) 7 ???? ? ???? ? ???? = 0 (B) 3 ???? + ???? ? ???? = 0 (C) 3 ???? ? ???? + ???? = 0 (D) 7 ???? ? ???? + ???? = 0
Q.27 If ???? ( ???? ) and ???? ( ???? ) are two probability density functions,
???? ( ???? ) =
?
?
?
?
?
???? ???? + 1 ? ? ???? ? ???? < 0
?
???? ???? + 1 ? 0 ? ???? ? ???? 0 ? ???????? ? ????????????????????????
???? ( ???? ) =
?
?
?
?
? ?
???? ???? ? ? ???? ? ???? < 0
???? ???? ? 0 ? ???? ? ???? 0 ? ???????? ? ????????????????????????
Which one of the following statements is true?
(A) Mean of ???? ( ???? ) and ???? ( ???? ) are same; Variance of ???? ( ???? ) and ???? ( ???? ) are same
(B) Mean of ???? ( ???? ) and ???? ( ???? ) are same; Variance of ???? ( ???? ) and ???? ( ???? ) are different
(C) Mean of ???? ( ???? ) and ???? ( ???? ) are different; Variance of ???? ( ???? ) and ???? ( ???? ) are same
(D) Mean of ???? ( ???? ) and ???? ( ???? ) are different; Variance of ???? ( ???? ) and ???? ( ???? ) are different
Q.28 The angle of intersection of the curves ???? 2
= 4 ???? and ???? 2
= 4 ???? at point (0, 0) is
(A) 0
o
(B) 30
o
(C) 45
o
(D) 90
o
GATE 2016 Civil Engineering Set-2
CE(2) 7/15
Q.29 The area between the parabola ???? 2
= 8 ???? and the straight line y = 8 is _________.
Q.30 The quadratic approximation of ???? ( ???? ) = ???? 3
? 3 ???? 2
? 5 at the point ???? = 0 is
(A) 3 ???? 2
? 6 ???? ? 5 (B) ?3 ???? 2
? 5
(C) ?3 ???? 2
+ 6 ???? ? 5 (D) 3 ???? 2
? 5
Q.31 An elastic isotropic body is in a hydrostatic state of stress as shown in the figure. For no change in
the volume to occur, what should be its Poisson's ratio?
(A) 0.00 (B) 0.25 (C) 0.50 (D) 1.00
Q.32 For the stress state (in MPa) shown in the figure, the major principal stress is 10 MPa.
The shear stress ? is
(A) 10.0 MPa (B) 5.0 MPa (C) 2.5 MPa (D) 0.0 MPa
5
5
5
5
?
?
y
?
x
?
z
GATE 2016 Civil Engineering Set-2
CE(2) 8/15
Q.33 The portal frame shown in the figure is subjected to a uniformly distributed vertical load w (per unit
length).
The bending moment in the beam at the joint ?Q? is
(A) zero
(B)
24
2
wL
(hogging)
(C)
12
2
wL
(hogging) (D)
8
2
wL
(sagging)
Q.34 Consider the structural system shown in the figure under the action of weight W. All the joints are
hinged. The properties of the members in terms of length (L), area (A) and the modulus of elasticity
(E) are also given in the figure. Let L, A and E be 1 m, 0.05 m
2
and 30 ? 10
6
N/m
2
, respectively, and
W be 100 kN.
Which one of the following sets gives the correct values of the force, stress and change in length of
the horizontal member QR?
(A) Compressive force = 25 kN; Stress = 250 kN/m
2
; Shortening = 0.0118 m
(B) Compressive force = 14.14 kN; Stress = 141.4 kN/m
2
; Extension = 0.0118 m
(C) Compressive force = 100 kN; Stress = 1000 kN/m
2
; Shortening = 0.0417 m
(D) Compressive force = 100 kN; Stress = 1000 kN/m
2
; Extension = 0.0417 m
W
9 0 ?
P
9 0 ?
45 ?
45 ?
45 ?
45 ?
2 A , E
A , E A , E
A , E A , E
R Q
L
S
L
P
Q R
S
L/2
w
GATE 2016 Civil Engineering Set-2
CE(2) 9/15
Q.35 A haunched (varying depth) reinforced concrete beam is simply supported at both ends, as shown in
the figure. The beam is subjected to a uniformly distributed factored load of intensity 10 kN/m.
The design shear force (expressed in kN) at the section X-X of the beam is ______
Q.36 A 450 mm long plain concrete prism is subjected to the concentrated vertical loads as shown in the
figure. Cross section of the prism is given as 150 mm ? 150 mm. Considering linear stress
distribution across the cross-section, the modulus of rupture (expressed in MPa) is ________
Q.37 Two bolted plates under tension with alternative arrangement of bolt holes are shown in figures 1
and 2. The hole diameter, pitch, and gauge length are d, p and g, respectively.
Which one of the following conditions must be ensured to have higher net tensile capacity of
configuration shown in Figure 2 than that shown in Figure 1 ?
(A) gd p 2
2
> (B) gd p 4
2
< (C) gd p 4
2
>
(D) gd p 4 >
effective span = 20 m
10 kN/m
600 mm
400 mm
5 m
X
X
P P d
P
g
p
P
Figure 1 Figure 2
P
Q R
S
150 mm
11.25 kN
150 mm 150 mm
11.25 kN
GATE 2016 Civil Engineering Set-2
CE(2) 10/15
Q.38
A fixed-end beam is subjected to a concentrated load ( ) P as shown in the figure. The beam has
two different segments having different plastic moment capacities ( )
p p
M M 2 , as shown.
The minimum value of load ( ) P at which the beam would collapse (ultimate load) is
(A) L M
P
5 . 7 (B) L M
P
0 . 5 (C) L M
P
5 . 4 (D) L M
P
5 . 2
Q.39 The activity-on-arrow network of activities for a construction project is shown in the figure. The
durations (expressed in days) of the activities are mentioned below the arrows.
The critical duration for this construction project is
(A) 13 days (B) 14 days (C) 15 days (D) 16 days
Q.40 The seepage occurring through an earthen dam is represented by a flownet comprising of 10
equipotential drops and 20 flow channels. The coefficient of permeability of the soil is 3 mm/min
and the head loss is 5 m. The rate of seepage (expressed in cm
3
/s per m length of the dam) through
the earthen dam is _________
10
30
20
60
40 50
70
80 90
P
Q
R
S
T
U
W
X
V
2
3
4
3
5
3
3
2
2
L
L
2L/3
P
P
M
P
M 2
GATE 2016 Civil Engineering Set-2
CE(2) 11/15
Q.41 The soil profile at a site consists of a 5 m thick sand layer underlain by a c- ? soil as shown in
figure. The water table is found 1 m below the ground level. The entire soil mass is retained by a
concrete retaining wall and is in the active state. The back of the wall is smooth and vertical. The
total active earth pressure (expressed in kN/m
2
) at point A as per Rankine's theory is _________
Q.42 OMC-SP and MDD-SP denote the optimum moisture content and maximum dry density obtained
from standard Proctor compaction test, respectively. OMC-MP and MDD-MP denote the optimum
moisture content and maximum dry density obtained from the modified Proctor compaction test,
respectively. Which one of the following is correct?
(A) OMC-SP < OMC-MP and MDD-SP < MDD-MP
(B) OMC-SP > OMC-MP and MDD-SP < MDD-MP
(C) OMC-SP < OMC-MP and MDD-SP > MDD-MP
(D) OMC-SP > OMC-MP and MDD-SP > MDD-MP
Sand
?
sat
= 19 kN/m
3
,
?
w
= 9.81 kN/m
3
,
? ' = 32 ?
c- ? soil
?
sat
= 18.5 kN/m
3
,
?
w
= 9.81 kN/m
3
c' = 25 kN/m
2
, ? ' = 24 ?
1 m
4 m
3 m
A
?
bulk
= 16.5 kN/m
3
GATE 2016 Civil Engineering Set-2
CE(2) 12/15
Q.43 Water flows from P to Q through two soil samples, Soil 1 and Soil 2, having cross sectional area of
80 cm
2
as shown in the figure. Over a period of 15 minutes, 200 ml of water was observed to pass
through any cross section. The flow conditions can be assumed to be steady state. If the coefficient
of permeability of Soil 1 is 0.02 mm/s, the coefficient of permeability of Soil 2 (expressed in
mm/s) would be ________
Soil 1 Soil 2
600 mm
150 mm 150 mm
300 mm
P
Q
GATE 2016 Civil Engineering Set-2
CE(2) 13/15
Q.44 A 4 m wide strip footing is founded at a depth of 1.5 m below the ground surface in a c- ? soil as
shown in the figure. The water table is at a depth of 5.5 m below ground surface. The soil properties
are: c' = 35 kN/m
2
, ?' = 28.63 ?, ?
sat
= 19 kN/m
3
, ?
bulk
= 17 kN/m
3
and ?
w
= 9.81 kN/m
3
. The values
of bearing capacity factors for different ?' are given below.
?' N
c
N
q
N
?
15 ? 12.9 4.4 2.5
20 ? 17.7 7.4 5.0
25 ? 25.1 12.7 9.7
30 ? 37.2 22.5 19.7
.
Using Terzaghi's bearing capacity equation and a factor of safety F
s
= 2.5, the net safe bearing
capacity (expressed in kN/m
2
) for local shear failure of the soil is __________
Q.45 A square plate is suspended vertically from one of its edges using a hinge support as shown in
figure. A water jet of 20 mm diameter having a velocity of 10 m/s strikes the plate at its mid-point,
at an angle of 30? with the vertical. Consider g as 9.81 m/s
2
and neglect the self-weight of the plate.
The force F (expressed in N) required to keep the plate in its vertical position is _________
Q.46 The ordinates of a one-hour unit hydrograph at sixty minute interval are 0, 3, 12, 8, 6, 3 and 0 m
3
/s.
A two-hour storm of 4 cm excess rainfall occurred in the basin from 10 AM. Considering constant
base flow of 20 m
3
/s, the flow of the river (expressed in m
3
/s) at 1 PM is _________
Water jet
F
20 mm
30
0
200 mm
Plate
5.5 m
1.5 m
4 m
GATE 2016 Civil Engineering Set-2
CE(2) 14/15
Q.47 A 3 m wide rectangular channel carries a flow of 6 m
3
/s. The depth of flow at a section P is 0.5 m.
A flat-topped hump is to be placed at the downstream of the section P. Assume negligible energy
loss between section P and hump, and consider ???? as 9.81 m/s
2
. The maximum height of the hump
(expressed in m) which will not change the depth of flow at section P is _________
Q.48 A penstock of 1 m diameter and 5 km length is used to supply water from a reservoir to an impulse
turbine. A nozzle of 15 cm diameter is fixed at the end of the penstock. The elevation difference
between the turbine and water level in the reservoir is 500 m. Consider the head loss due to friction
as 5% of the velocity head available at the jet. Assume unit weight of water = 10 kN/m
3
and
acceleration due to gravity (g) = 10 m/s
2
. If the overall efficiency is 80%, power generated
(expressed in kW and rounded to nearest integer) is _______________
Q.49 A tracer takes 100 days to travel from Well-1 to Well-2 which are 100 m apart. The elevation of
water surface in Well-2 is 3 m below that in Well-1. Assuming porosity equal to 15%, the
coefficient of permeability (expressed in m/day) is
(A) 0.30 (B) 0.45 (C) 1.00 (D) 5.00
Q.50 A sample of water has been analyzed for common ions and results are presented in the form of a
bar diagram as shown.
The non-carbonate hardness (expressed in mg/L as CaCO
3
) of the sample is
(A) 40 (B) 165 (C) 195 (D) 205
Q.51 A noise meter located at a distance of 30 m from a point source recorded 74 dB. The reading at a
distance of 60 m from the point source would be _________
Q.52 For a wastewater sample, the three-day biochemical oxygen demand at incubation temperature of
20
?
C (BOD
3day, 20 ?C
) is estimated as 200 mg/L. Taking the value of the first order BOD reaction rate
constant as 0.22 day
-1
, the five-day BOD (expressed in mg/L) of the wastewater at incubation
temperature of 20
?
C (BOD
5day, 20 ?c
) would be _________
Q.53 The critical flow ratios for a three-phase signal are found to be 0.30, 0.25, and 0.25. The total time
lost in the cycle is 10 s. Pedestrian crossings at this junction are not significant. The respective
Green times (expressed in seconds and rounded off to the nearest integer) for the three phases are
(A) 34, 28, and 28 (B) 40, 25, and 25 (C) 40, 30, and 30 (D) 50, 25, and 25
Ca
2+
Mg
2+
Na
+
K
+
HCO
3
?
Cl
?
SO
4
2 ?
meq/L
meq/L
0
3.30
3.90
6.75
0
2.65
4.10
6.35
6.85
FirstRanker.com - FirstRanker's Choice
GATE 2016 General Aptitude ? GA Set-7
1/3
Q. 1 ? Q. 5 carry one mark each.
Q.1 If I were you, I __________ that laptop. It?s much too expensive.
(A) won?t buy (B) shan?t buy
(C) wouldn?t buy (D) would buy
Q.2 He turned a deaf ear to my request.
What does the underlined phrasal verb mean?
(A) ignored (B) appreciated (C) twisted (D) returned
Q.3 Choose the most appropriate set of words from the options given below to complete the following
sentence.
_________ ___________ is a will, _________ is a way.
(A) Wear, there, their (B) Were, their, there
(C) Where, there, there (D) Where, their, their
Q.4 (x % of y) + (y % of x) is equivalent to .
(A) 2 % of xy (B) 2 % of (xy/100) (C) xy % of 100 (D) 100 % of xy
Q.5 The sum of the digits of a two digit number is 12. If the new number formed by reversing the digits
is greater than the original number by 54, find the original number.
(A) 39 (B) 57 (C) 66 (D) 93
GATE 2016 General Aptitude ? GA Set-7
2/3
Q. 6 ? Q. 10 carry two marks each.
Q.6 Two finance companies, P and Q, declared fixed annual rates of interest on the amounts invested
with them. The rates of interest offered by these companies may differ from year to year. Year-wise
annual rates of interest offered by these companies are shown by the line graph provided below.
If the amounts invested in the companies, P and Q, in 2006 are in the ratio 8:9, then the amounts
received after one year as interests from companies P and Q would be in the ratio:
(A) 2:3
(B) 3:4
(C) 6:7
(D) 4:3
Q.7 Today, we consider Ashoka as a great ruler because of the copious evidence he left behind in the
form of stone carved edicts. Historians tend to correlate greatness of a king at his time with the
availability of evidence today.
Which of the following can be logically inferred from the above sentences?
(A) Emperors who do not leave significant sculpted evidence are completely forgotten.
(B) Ashoka produced stone carved edicts to ensure that later historians will respect him.
(C) Statues of kings are a reminder of their greatness.
(D) A king?s greatness, as we know him today, is interpreted by historians.
7
9
8
10
7.5
6.5
6
6.5
8
9.5
8
9
8
4
2000 2001 2002 2003 2004 2005 2006
P Q
GATE 2016 General Aptitude ? GA Set-7
3/3
Q.8 Fact 1: Humans are mammals.
Fact 2: Some humans are engineers.
Fact 3: Engineers build houses.
If the above statements are facts, which of the following can be logically inferred?
I. All mammals build houses.
II. Engineers are mammals.
III. Some humans are not engineers.
(A) II only. (B) III only.
(C) I, II and III. (D) I only.
Q.9 A square pyramid has a base perimeter x, and the slant height is half of the perimeter. What is the
lateral surface area of the pyramid?
(A) x
2
(B) 0.75 x
2
(C) 0.50 x
2
(D) 0.25 x
2
END OF THE QUESTION PAPER
Q.10 Ananth takes 6 hours and Bharath takes 4 hours to read a book. Both started reading copies of the
book at the same time. After how many hours is the number of pages to be read by Ananth, twice
that to be read by Bharath? Assume Ananth and Bharath read all the pages with constant pace.
(A) 1 (B) 2 (C) 3 (D) 4
GATE 2016 Civil Engineering Set-2
CE(2) 1/15
Q. 1 ? Q. 25 carry one mark each
Q.1 The spot speeds (expressed in km/hr) observed at a road section are 66, 62, 45, 79, 32, 51, 56, 60,
53, and 49. The median speed (expressed in km/hr) is _________
(Note: answer with one decimal accuracy)
Q.2 The optimum value of the function f(x) = x
2
? 4x +2 is
(A) 2 (maximum) (B) 2 (minimum) (C) ?2 (maximum) (D) ?2 (minimum)
Q.3 The Fourier series of the function,
???? ( ???? ) = 0, ? ???? < ???? ? 0
= ???? ? ???? , 0 < ???? < ????
in the interval [? ???? , ???? ] is
???? ( ???? ) =
???? 4
+
2
???? ?
cos ???? 1
2
+
cos 3 ???? 3
2
+ ? ? ? ? + ?
sin ???? 1
+
sin 2 ???? 2
+
sin 3 ???? 3
+ ? ? . ?.
The convergence of the above Fourier series at ???? = 0 gives
(A)
6
1
2
1
2
?
=
?
?
= n
n
(B)
12
) 1 (
2
1
2
1
?
=
?
?
?
=
+
n
n
n
(C)
8 ) 1 2 (
1
2
1
2
?
=
?
?
?
= n
n
(D)
4 1 2
) 1 (
1
1
?
=
?
?
?
?
=
+
n
n
n
Q.4
X and Y are two random independent events. It is known that ( ) 40 . 0 = X P and
( ) . 7 . 0 = ?
C
Y X P Which one of the following is the value of ( ) Y X P ?
?
(A) 0.7 (B) 0.5 (C) 0.4 (D) 0.3
Q.5
What is the value of
22
0
0
lim
x
y
xy
xy
?
?
+
?
(A) 1 (B) ?1 (C) 0 (D) Limit does not exist
Q.6 The kinematic indeterminacy of the plane truss shown in the figure is
(A) 11 (B) 8 (C) 3 (D) 0
GATE 2016 Civil Engineering Set-2
CE(2) 2/15
Q.7 As per IS 456-2000 for the design of reinforced concrete beam, the maximum allowable shear
stress ( )
max c
? depends on the
(A) grade of concrete and grade of steel
(B) grade of concrete only
(C) grade of steel only
(D) grade of concrete and percentage of reinforcement
Q.8 An assembly made of a rigid arm A-B-C hinged at end A and supported by an elastic rope C-D at
end C is shown in the figure. The members may be assumed to be weightless and the lengths of the
respective members are as shown in the figure.
Under the action of a concentrated load P at C as shown, the magnitude of tension developed in the
rope is
(A)
2
3P
(B)
2
P
(C)
8
3P
(D) P 2
Q.9 As per Indian standards for bricks, minimum acceptable compressive strength of any class of burnt
clay bricks in dry state is
(A) 10.0 MPa (B) 7.5 MPa (C) 5.0 MPa (D) 3.5 MPa
B
P
L L
L
A D
C
Rope
Rigid arm
L
GATE 2016 Civil Engineering Set-2
CE(2) 3/15
Q.10 A construction project consists of twelve activities. The estimated duration (in days) required to
complete each of the activities along with the corresponding network diagram is shown below.
Activity Duration (days) Activity Duration (days)
A Inauguration 1 G Flooring 25
B Foundation work 7 H Electrification 7
C Structural construction-1 30 I Plumbing 7
D Structural construction-2 30 J Wood work 7
E Brick masonry work 25 K Coloring 3
F Plastering 7 L Handing over function 1
Total floats (in days) for the activities 5-7 and 11-12 for the project are, respectively,
(A) 25 and 1
(B) 1 and 1
(C) 0 and 0
(D) 81 and 0
Q.11 A strip footing is resting on the surface of a purely clayey soil deposit. If the width of the footing is
doubled, the ultimate bearing capacity of the soil
(A) becomes double (B) becomes half (C) becomes four-times (D) remains the same
Q.12 The relationship between the specific gravity of sand (G) and the hydraulic gradient (i) to initiate
quick condition in the sand layer having porosity of 30% is
(A) G = 0.7i + 1 (B) G = 1.43i ? 1
(C) G = 1.43i + 1 (D) G = 0.7i ? 1
Q.13 The results of a consolidation test on an undisturbed soil, sampled at a depth of 10 m below the
ground level are as follows:
Saturated unit weight : 16 kN/m
3
Pre-consolidation pressure : 90 kPa
The water table was encountered at the ground level. Assuming the unit weight of water as 10
kN/m
3
, the over-consolidation ratio of the soil is
(A) 0.67
(B) 1.50 (C) 1.77 (D) 2.00
1 2 3
4 6 8
10 11 12
5 7 9
A B K L
C J
D I
E F
G H
GATE 2016 Civil Engineering Set-2
CE(2) 4/15
Q.14 Profile of a weir on permeable foundation is shown in figure I and an elementary profile of
'upstream pile only case' according to Khosla's theory is shown in figure II. The uplift pressure
heads at key points Q, R and S are 3.14 m, 2.75 m and 0 m, respectively (refer figure II).
What is the uplift pressure head at point P downstream of the weir (junction of floor and pile as
shown in the figure I)?
(A) 2.75 m (B) 1.25 m (C) 0.8 m (D) Data not sufficient
Q.15 Water table of an aquifer drops by 100 cm over an area of 1000 km
2
. The porosity and specific
retention of the aquifer material are 25% and 5%, respectively. The amount of water (expressed in
km
3
) drained out from the area is _________
10 m 5 m 25 m
P
Weir
Gate
Floor
1 m
3 m
5 m
40 m
S
4 m
5 m
R
Q
Figure I
Figure II
GATE 2016 Civil Engineering Set-2
CE(2) 5/15
Q.16 Group I contains the types of fluids while Group II contains the shear stress - rate of shear
relationship of different types of fluids, as shown in the figure.
Group I Group II
P. Newtonian fluid 1. Curve 1
Q. Pseudo plastic fluid 2. Curve 2
R. Plastic fluid 3. Curve 3
S. Dilatant fluid 4. Curve 4
5. Curve 5
The correct match between Group I and Group II is
(A) P-2, Q-4, R-1, S-5 (B) P-2, Q-5, R-4, S-1
(C) P-2, Q-4, R-5, S-3 (D) P-2, Q-1, R-3, S-4
Q.17 The atmospheric layer closest to the earth surface is
(A) the mesosphere (B) the stratosphere
(C) the thermosphere (D) the troposphere
Q.18 A water supply board is responsible for treating 1500 m
3
/day of water. A settling column analysis
indicates that an overflow rate of 20 m/day will produce satisfactory removal for a depth of 3.1 m.
It is decided to have two circular settling tanks in parallel. The required diameter (expressed in m)
of the settling tanks is __________
Q.19 The hardness of a ground water sample was found to be 420 mg/L as CaCO
3
. A softener containing
ion exchange resins was installed to reduce the total hardness to 75 mg/L as CaCO
3
before
supplying to 4 households. Each household gets treated water at a rate of 540 L/day. If the
efficiency of the softener is 100%, the bypass flow rate (expressed in L/day) is _________
Q.20 The sound pressure (expressed in ?Pa) of the faintest sound that a normal healthy individual can
hear is
(A) 0.2 (B) 2 (C) 20 (D) 55
Q.21 In the context of the IRC 58-2011 guidelines for rigid pavement design, consider the following pair
of statements.
I: Radius of relative stiffness is directly related to modulus of elasticity of concrete and inversely
related to Poisson's ratio
II: Radius of relative stiffness is directly related to thickness of slab and modulus of subgrade
reaction.
Which one of the following combinations is correct?
(A) I: True; II: True (B) I: False; II: False
(C) I: True; II: False (D) I: False; II: True
Q.22 If the total number of commercial vehicles per day ranges from 3000 to 6000, the minimum
percentage of commercial traffic to be surveyed for axle load is
(A) 15 (B) 20 (C) 25 (D) 30
Rate of shear
Shear stress Yield stress
2
3
4
5
1
GATE 2016 Civil Engineering Set-2
CE(2) 6/15
Q.23 Optimal flight planning for a photogrammetric survey should be carried out considering
(A) only side-lap
(B) only end-lap
(C) either side-lap or end-lap
(D) both side-lap as well as end-lap
Q.24 The reduced bearing of a 10 m long line is N30?E. The departure of the line is
(A) 10.00 m (B) 8.66 m (C) 7.52 m (D) 5.00 m
Q.25 A circular curve of radius R connects two straights with a deflection angle of 60?. The tangent
length is
(A) 0.577 R (B) 1.155 R (C) 1.732 R (D) 3.464 R
Q. 26 ? Q. 55 carry two marks each
Q.26 Consider the following linear system.
???? + 2 ???? ? 3 ???? = ????
2 ???? + 3 ???? + 3 ???? = ????
5 ???? + 9 ???? ? 6 ???? = ????
This system is consistent if ???? , ???? and ???? satisfy the equation
(A) 7 ???? ? ???? ? ???? = 0 (B) 3 ???? + ???? ? ???? = 0 (C) 3 ???? ? ???? + ???? = 0 (D) 7 ???? ? ???? + ???? = 0
Q.27 If ???? ( ???? ) and ???? ( ???? ) are two probability density functions,
???? ( ???? ) =
?
?
?
?
?
???? ???? + 1 ? ? ???? ? ???? < 0
?
???? ???? + 1 ? 0 ? ???? ? ???? 0 ? ???????? ? ????????????????????????
???? ( ???? ) =
?
?
?
?
? ?
???? ???? ? ? ???? ? ???? < 0
???? ???? ? 0 ? ???? ? ???? 0 ? ???????? ? ????????????????????????
Which one of the following statements is true?
(A) Mean of ???? ( ???? ) and ???? ( ???? ) are same; Variance of ???? ( ???? ) and ???? ( ???? ) are same
(B) Mean of ???? ( ???? ) and ???? ( ???? ) are same; Variance of ???? ( ???? ) and ???? ( ???? ) are different
(C) Mean of ???? ( ???? ) and ???? ( ???? ) are different; Variance of ???? ( ???? ) and ???? ( ???? ) are same
(D) Mean of ???? ( ???? ) and ???? ( ???? ) are different; Variance of ???? ( ???? ) and ???? ( ???? ) are different
Q.28 The angle of intersection of the curves ???? 2
= 4 ???? and ???? 2
= 4 ???? at point (0, 0) is
(A) 0
o
(B) 30
o
(C) 45
o
(D) 90
o
GATE 2016 Civil Engineering Set-2
CE(2) 7/15
Q.29 The area between the parabola ???? 2
= 8 ???? and the straight line y = 8 is _________.
Q.30 The quadratic approximation of ???? ( ???? ) = ???? 3
? 3 ???? 2
? 5 at the point ???? = 0 is
(A) 3 ???? 2
? 6 ???? ? 5 (B) ?3 ???? 2
? 5
(C) ?3 ???? 2
+ 6 ???? ? 5 (D) 3 ???? 2
? 5
Q.31 An elastic isotropic body is in a hydrostatic state of stress as shown in the figure. For no change in
the volume to occur, what should be its Poisson's ratio?
(A) 0.00 (B) 0.25 (C) 0.50 (D) 1.00
Q.32 For the stress state (in MPa) shown in the figure, the major principal stress is 10 MPa.
The shear stress ? is
(A) 10.0 MPa (B) 5.0 MPa (C) 2.5 MPa (D) 0.0 MPa
5
5
5
5
?
?
y
?
x
?
z
GATE 2016 Civil Engineering Set-2
CE(2) 8/15
Q.33 The portal frame shown in the figure is subjected to a uniformly distributed vertical load w (per unit
length).
The bending moment in the beam at the joint ?Q? is
(A) zero
(B)
24
2
wL
(hogging)
(C)
12
2
wL
(hogging) (D)
8
2
wL
(sagging)
Q.34 Consider the structural system shown in the figure under the action of weight W. All the joints are
hinged. The properties of the members in terms of length (L), area (A) and the modulus of elasticity
(E) are also given in the figure. Let L, A and E be 1 m, 0.05 m
2
and 30 ? 10
6
N/m
2
, respectively, and
W be 100 kN.
Which one of the following sets gives the correct values of the force, stress and change in length of
the horizontal member QR?
(A) Compressive force = 25 kN; Stress = 250 kN/m
2
; Shortening = 0.0118 m
(B) Compressive force = 14.14 kN; Stress = 141.4 kN/m
2
; Extension = 0.0118 m
(C) Compressive force = 100 kN; Stress = 1000 kN/m
2
; Shortening = 0.0417 m
(D) Compressive force = 100 kN; Stress = 1000 kN/m
2
; Extension = 0.0417 m
W
9 0 ?
P
9 0 ?
45 ?
45 ?
45 ?
45 ?
2 A , E
A , E A , E
A , E A , E
R Q
L
S
L
P
Q R
S
L/2
w
GATE 2016 Civil Engineering Set-2
CE(2) 9/15
Q.35 A haunched (varying depth) reinforced concrete beam is simply supported at both ends, as shown in
the figure. The beam is subjected to a uniformly distributed factored load of intensity 10 kN/m.
The design shear force (expressed in kN) at the section X-X of the beam is ______
Q.36 A 450 mm long plain concrete prism is subjected to the concentrated vertical loads as shown in the
figure. Cross section of the prism is given as 150 mm ? 150 mm. Considering linear stress
distribution across the cross-section, the modulus of rupture (expressed in MPa) is ________
Q.37 Two bolted plates under tension with alternative arrangement of bolt holes are shown in figures 1
and 2. The hole diameter, pitch, and gauge length are d, p and g, respectively.
Which one of the following conditions must be ensured to have higher net tensile capacity of
configuration shown in Figure 2 than that shown in Figure 1 ?
(A) gd p 2
2
> (B) gd p 4
2
< (C) gd p 4
2
>
(D) gd p 4 >
effective span = 20 m
10 kN/m
600 mm
400 mm
5 m
X
X
P P d
P
g
p
P
Figure 1 Figure 2
P
Q R
S
150 mm
11.25 kN
150 mm 150 mm
11.25 kN
GATE 2016 Civil Engineering Set-2
CE(2) 10/15
Q.38
A fixed-end beam is subjected to a concentrated load ( ) P as shown in the figure. The beam has
two different segments having different plastic moment capacities ( )
p p
M M 2 , as shown.
The minimum value of load ( ) P at which the beam would collapse (ultimate load) is
(A) L M
P
5 . 7 (B) L M
P
0 . 5 (C) L M
P
5 . 4 (D) L M
P
5 . 2
Q.39 The activity-on-arrow network of activities for a construction project is shown in the figure. The
durations (expressed in days) of the activities are mentioned below the arrows.
The critical duration for this construction project is
(A) 13 days (B) 14 days (C) 15 days (D) 16 days
Q.40 The seepage occurring through an earthen dam is represented by a flownet comprising of 10
equipotential drops and 20 flow channels. The coefficient of permeability of the soil is 3 mm/min
and the head loss is 5 m. The rate of seepage (expressed in cm
3
/s per m length of the dam) through
the earthen dam is _________
10
30
20
60
40 50
70
80 90
P
Q
R
S
T
U
W
X
V
2
3
4
3
5
3
3
2
2
L
L
2L/3
P
P
M
P
M 2
GATE 2016 Civil Engineering Set-2
CE(2) 11/15
Q.41 The soil profile at a site consists of a 5 m thick sand layer underlain by a c- ? soil as shown in
figure. The water table is found 1 m below the ground level. The entire soil mass is retained by a
concrete retaining wall and is in the active state. The back of the wall is smooth and vertical. The
total active earth pressure (expressed in kN/m
2
) at point A as per Rankine's theory is _________
Q.42 OMC-SP and MDD-SP denote the optimum moisture content and maximum dry density obtained
from standard Proctor compaction test, respectively. OMC-MP and MDD-MP denote the optimum
moisture content and maximum dry density obtained from the modified Proctor compaction test,
respectively. Which one of the following is correct?
(A) OMC-SP < OMC-MP and MDD-SP < MDD-MP
(B) OMC-SP > OMC-MP and MDD-SP < MDD-MP
(C) OMC-SP < OMC-MP and MDD-SP > MDD-MP
(D) OMC-SP > OMC-MP and MDD-SP > MDD-MP
Sand
?
sat
= 19 kN/m
3
,
?
w
= 9.81 kN/m
3
,
? ' = 32 ?
c- ? soil
?
sat
= 18.5 kN/m
3
,
?
w
= 9.81 kN/m
3
c' = 25 kN/m
2
, ? ' = 24 ?
1 m
4 m
3 m
A
?
bulk
= 16.5 kN/m
3
GATE 2016 Civil Engineering Set-2
CE(2) 12/15
Q.43 Water flows from P to Q through two soil samples, Soil 1 and Soil 2, having cross sectional area of
80 cm
2
as shown in the figure. Over a period of 15 minutes, 200 ml of water was observed to pass
through any cross section. The flow conditions can be assumed to be steady state. If the coefficient
of permeability of Soil 1 is 0.02 mm/s, the coefficient of permeability of Soil 2 (expressed in
mm/s) would be ________
Soil 1 Soil 2
600 mm
150 mm 150 mm
300 mm
P
Q
GATE 2016 Civil Engineering Set-2
CE(2) 13/15
Q.44 A 4 m wide strip footing is founded at a depth of 1.5 m below the ground surface in a c- ? soil as
shown in the figure. The water table is at a depth of 5.5 m below ground surface. The soil properties
are: c' = 35 kN/m
2
, ?' = 28.63 ?, ?
sat
= 19 kN/m
3
, ?
bulk
= 17 kN/m
3
and ?
w
= 9.81 kN/m
3
. The values
of bearing capacity factors for different ?' are given below.
?' N
c
N
q
N
?
15 ? 12.9 4.4 2.5
20 ? 17.7 7.4 5.0
25 ? 25.1 12.7 9.7
30 ? 37.2 22.5 19.7
.
Using Terzaghi's bearing capacity equation and a factor of safety F
s
= 2.5, the net safe bearing
capacity (expressed in kN/m
2
) for local shear failure of the soil is __________
Q.45 A square plate is suspended vertically from one of its edges using a hinge support as shown in
figure. A water jet of 20 mm diameter having a velocity of 10 m/s strikes the plate at its mid-point,
at an angle of 30? with the vertical. Consider g as 9.81 m/s
2
and neglect the self-weight of the plate.
The force F (expressed in N) required to keep the plate in its vertical position is _________
Q.46 The ordinates of a one-hour unit hydrograph at sixty minute interval are 0, 3, 12, 8, 6, 3 and 0 m
3
/s.
A two-hour storm of 4 cm excess rainfall occurred in the basin from 10 AM. Considering constant
base flow of 20 m
3
/s, the flow of the river (expressed in m
3
/s) at 1 PM is _________
Water jet
F
20 mm
30
0
200 mm
Plate
5.5 m
1.5 m
4 m
GATE 2016 Civil Engineering Set-2
CE(2) 14/15
Q.47 A 3 m wide rectangular channel carries a flow of 6 m
3
/s. The depth of flow at a section P is 0.5 m.
A flat-topped hump is to be placed at the downstream of the section P. Assume negligible energy
loss between section P and hump, and consider ???? as 9.81 m/s
2
. The maximum height of the hump
(expressed in m) which will not change the depth of flow at section P is _________
Q.48 A penstock of 1 m diameter and 5 km length is used to supply water from a reservoir to an impulse
turbine. A nozzle of 15 cm diameter is fixed at the end of the penstock. The elevation difference
between the turbine and water level in the reservoir is 500 m. Consider the head loss due to friction
as 5% of the velocity head available at the jet. Assume unit weight of water = 10 kN/m
3
and
acceleration due to gravity (g) = 10 m/s
2
. If the overall efficiency is 80%, power generated
(expressed in kW and rounded to nearest integer) is _______________
Q.49 A tracer takes 100 days to travel from Well-1 to Well-2 which are 100 m apart. The elevation of
water surface in Well-2 is 3 m below that in Well-1. Assuming porosity equal to 15%, the
coefficient of permeability (expressed in m/day) is
(A) 0.30 (B) 0.45 (C) 1.00 (D) 5.00
Q.50 A sample of water has been analyzed for common ions and results are presented in the form of a
bar diagram as shown.
The non-carbonate hardness (expressed in mg/L as CaCO
3
) of the sample is
(A) 40 (B) 165 (C) 195 (D) 205
Q.51 A noise meter located at a distance of 30 m from a point source recorded 74 dB. The reading at a
distance of 60 m from the point source would be _________
Q.52 For a wastewater sample, the three-day biochemical oxygen demand at incubation temperature of
20
?
C (BOD
3day, 20 ?C
) is estimated as 200 mg/L. Taking the value of the first order BOD reaction rate
constant as 0.22 day
-1
, the five-day BOD (expressed in mg/L) of the wastewater at incubation
temperature of 20
?
C (BOD
5day, 20 ?c
) would be _________
Q.53 The critical flow ratios for a three-phase signal are found to be 0.30, 0.25, and 0.25. The total time
lost in the cycle is 10 s. Pedestrian crossings at this junction are not significant. The respective
Green times (expressed in seconds and rounded off to the nearest integer) for the three phases are
(A) 34, 28, and 28 (B) 40, 25, and 25 (C) 40, 30, and 30 (D) 50, 25, and 25
Ca
2+
Mg
2+
Na
+
K
+
HCO
3
?
Cl
?
SO
4
2 ?
meq/L
meq/L
0
3.30
3.90
6.75
0
2.65
4.10
6.35
6.85
GATE 2016 Civil Engineering Set-2
CE(2) 15/15
Q.54 A motorist traveling at 100 km/h on a highway needs to take the next exit, which has a speed limit
of 50 km/h. The section of the roadway before the ramp entry has a downgrade of 3% and
coefficient of friction ( f ) is 0.35. In order to enter the ramp at the maximum allowable speed limit,
the braking distance (expressed in m) from the exit ramp is _________
Q.55 A tall tower was photographed from an elevation of 700 m above the datum. The radial distances of
the top and bottom of the tower from the principal points are 112.50 mm and 82.40 mm,
respectively. If the bottom of the tower is at an elevation 250 m above the datum, then the height
(expressed in m) of the tower is _________
END OF THE QUESTION PAPER
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This post was last modified on 18 December 2019