Download GATE (Graduate Aptitude Test in Engineering) Last 10 Years 2020, 2019, 2018, 2017, 2016, 2015, 2014, 2013, 2012, 2011 and 2010 XE A Engineering Sciences Question Papers With Solutions And Answer Keys
Q. 1 ? Q. 5 carry one mark each.
Q.1 The chairman requested the aggrieved shareholders to _________________ him.
(A) bare with (B) bore with (C) bear with (D) bare
Q.2 Identify the correct spelling out of the given options:
(A) Managable (B) Manageable (C) Mangaeble (D) Managible
Q.3 Pick the odd one out in the following:
13, 23, 33, 43, 53
(A) 23 (B) 33 (C) 43 (D) 53
Q.4 R2D2 is a robot. R2D2 can repair aeroplanes. No other robot can repair aeroplanes.
Which of the following can be logically inferred from the above statements?
(A) R2D2 is a robot which can only repair aeroplanes.
(B) R2D2 is the only robot which can repair aeroplanes.
(C) R2D2 is a robot which can repair only aeroplanes.
(D) Only R2D2 is a robot.
Q.5 If |9y ?6| =3, then y
2
?4y/3 is .
(A) 0 (B) +1/3 (C) ?1/3 (D) undefined
1/3
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GATE 2016 General Aptitude ? GA Set-8
Q. 1 ? Q. 5 carry one mark each.
Q.1 The chairman requested the aggrieved shareholders to _________________ him.
(A) bare with (B) bore with (C) bear with (D) bare
Q.2 Identify the correct spelling out of the given options:
(A) Managable (B) Manageable (C) Mangaeble (D) Managible
Q.3 Pick the odd one out in the following:
13, 23, 33, 43, 53
(A) 23 (B) 33 (C) 43 (D) 53
Q.4 R2D2 is a robot. R2D2 can repair aeroplanes. No other robot can repair aeroplanes.
Which of the following can be logically inferred from the above statements?
(A) R2D2 is a robot which can only repair aeroplanes.
(B) R2D2 is the only robot which can repair aeroplanes.
(C) R2D2 is a robot which can repair only aeroplanes.
(D) Only R2D2 is a robot.
Q.5 If |9y ?6| =3, then y
2
?4y/3 is .
(A) 0 (B) +1/3 (C) ?1/3 (D) undefined
1/3
GATE 2016 General Aptitude ? GA Set-8
Q. 6 ? Q. 10 carry two marks each.
Q.6 The following graph represents the installed capacity for cement production (in tonnes) and the
actual production (in tonnes) of nine cement plants of a cement company. Capacity utilization of a
plant is defined as ratio of actual production of cement to installed capacity. A plant with installed
capacity of at least 200 tonnes is called a large plant and a plant with lesser capacity is called a
small plant. The difference between total production of large plants and small plants, in tonnes is
____.
Q.7 A poll of students appearing for masters in engineering indicated that 60 % of the students believed
that mechanical engineering is a profession unsuitable for women. A research study on women with
masters or higher degrees in mechanical engineering found that 99 % of such women were
successful in their professions.
Which of the following can be logically inferred from the above paragraph?
(A) Many students have misconceptions regarding various engineering disciplines.
(B) Men with advanced degrees in mechanical engineering believe women are well suited to be
mechanical engineers.
(C) Mechanical engineering is a profession well suited for women with masters or higher degrees
in mechanical engineering.
(D) The number of women pursuing higher degrees in mechanical engineering is small.
2/3
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GATE 2016 General Aptitude ? GA Set-8
Q. 1 ? Q. 5 carry one mark each.
Q.1 The chairman requested the aggrieved shareholders to _________________ him.
(A) bare with (B) bore with (C) bear with (D) bare
Q.2 Identify the correct spelling out of the given options:
(A) Managable (B) Manageable (C) Mangaeble (D) Managible
Q.3 Pick the odd one out in the following:
13, 23, 33, 43, 53
(A) 23 (B) 33 (C) 43 (D) 53
Q.4 R2D2 is a robot. R2D2 can repair aeroplanes. No other robot can repair aeroplanes.
Which of the following can be logically inferred from the above statements?
(A) R2D2 is a robot which can only repair aeroplanes.
(B) R2D2 is the only robot which can repair aeroplanes.
(C) R2D2 is a robot which can repair only aeroplanes.
(D) Only R2D2 is a robot.
Q.5 If |9y ?6| =3, then y
2
?4y/3 is .
(A) 0 (B) +1/3 (C) ?1/3 (D) undefined
1/3
GATE 2016 General Aptitude ? GA Set-8
Q. 6 ? Q. 10 carry two marks each.
Q.6 The following graph represents the installed capacity for cement production (in tonnes) and the
actual production (in tonnes) of nine cement plants of a cement company. Capacity utilization of a
plant is defined as ratio of actual production of cement to installed capacity. A plant with installed
capacity of at least 200 tonnes is called a large plant and a plant with lesser capacity is called a
small plant. The difference between total production of large plants and small plants, in tonnes is
____.
Q.7 A poll of students appearing for masters in engineering indicated that 60 % of the students believed
that mechanical engineering is a profession unsuitable for women. A research study on women with
masters or higher degrees in mechanical engineering found that 99 % of such women were
successful in their professions.
Which of the following can be logically inferred from the above paragraph?
(A) Many students have misconceptions regarding various engineering disciplines.
(B) Men with advanced degrees in mechanical engineering believe women are well suited to be
mechanical engineers.
(C) Mechanical engineering is a profession well suited for women with masters or higher degrees
in mechanical engineering.
(D) The number of women pursuing higher degrees in mechanical engineering is small.
2/3
GATE 2016 General Aptitude ? GA Set-8
3/3
Q.8 Sourya committee had proposed the establishment of Sourya Institutes of Technology (SITs) in line
with Indian Institutes of Technology (IITs) to cater to the technological and industrial needs of a
developing country.
Which of the following can be logically inferred from the above sentence?
Based on the proposal,
(i) In the initial years, SIT students will get degrees from IIT.
(ii) SITs will have a distinct national objective.
(iii) SIT like institutions can only be established in consultation with IIT.
(iv) SITs will serve technological needs of a developing country.
(A) (iii) and (iv) only. (B) (i) and (iv) only.
(C) (ii) and (iv) only. (D) (ii) and (iii) only.
Q.9 Shaquille O? Neal is a 60% career free throw shooter, meaning that he successfully makes 60 free
throws out of 100 attempts on average. What is the probability that he will successfully
make exactly 6 free throws in 10 attempts?
(A) 0.2508
(B) 0.2816 (C) 0.2934 (D) 0.6000
Q.10 The numeral in the units position of 211
870
+ 146
127
? 3
424
is _____.
END OF THE QUESTION PAPER
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GATE 2016 General Aptitude ? GA Set-8
Q. 1 ? Q. 5 carry one mark each.
Q.1 The chairman requested the aggrieved shareholders to _________________ him.
(A) bare with (B) bore with (C) bear with (D) bare
Q.2 Identify the correct spelling out of the given options:
(A) Managable (B) Manageable (C) Mangaeble (D) Managible
Q.3 Pick the odd one out in the following:
13, 23, 33, 43, 53
(A) 23 (B) 33 (C) 43 (D) 53
Q.4 R2D2 is a robot. R2D2 can repair aeroplanes. No other robot can repair aeroplanes.
Which of the following can be logically inferred from the above statements?
(A) R2D2 is a robot which can only repair aeroplanes.
(B) R2D2 is the only robot which can repair aeroplanes.
(C) R2D2 is a robot which can repair only aeroplanes.
(D) Only R2D2 is a robot.
Q.5 If |9y ?6| =3, then y
2
?4y/3 is .
(A) 0 (B) +1/3 (C) ?1/3 (D) undefined
1/3
GATE 2016 General Aptitude ? GA Set-8
Q. 6 ? Q. 10 carry two marks each.
Q.6 The following graph represents the installed capacity for cement production (in tonnes) and the
actual production (in tonnes) of nine cement plants of a cement company. Capacity utilization of a
plant is defined as ratio of actual production of cement to installed capacity. A plant with installed
capacity of at least 200 tonnes is called a large plant and a plant with lesser capacity is called a
small plant. The difference between total production of large plants and small plants, in tonnes is
____.
Q.7 A poll of students appearing for masters in engineering indicated that 60 % of the students believed
that mechanical engineering is a profession unsuitable for women. A research study on women with
masters or higher degrees in mechanical engineering found that 99 % of such women were
successful in their professions.
Which of the following can be logically inferred from the above paragraph?
(A) Many students have misconceptions regarding various engineering disciplines.
(B) Men with advanced degrees in mechanical engineering believe women are well suited to be
mechanical engineers.
(C) Mechanical engineering is a profession well suited for women with masters or higher degrees
in mechanical engineering.
(D) The number of women pursuing higher degrees in mechanical engineering is small.
2/3
GATE 2016 General Aptitude ? GA Set-8
3/3
Q.8 Sourya committee had proposed the establishment of Sourya Institutes of Technology (SITs) in line
with Indian Institutes of Technology (IITs) to cater to the technological and industrial needs of a
developing country.
Which of the following can be logically inferred from the above sentence?
Based on the proposal,
(i) In the initial years, SIT students will get degrees from IIT.
(ii) SITs will have a distinct national objective.
(iii) SIT like institutions can only be established in consultation with IIT.
(iv) SITs will serve technological needs of a developing country.
(A) (iii) and (iv) only. (B) (i) and (iv) only.
(C) (ii) and (iv) only. (D) (ii) and (iii) only.
Q.9 Shaquille O? Neal is a 60% career free throw shooter, meaning that he successfully makes 60 free
throws out of 100 attempts on average. What is the probability that he will successfully
make exactly 6 free throws in 10 attempts?
(A) 0.2508
(B) 0.2816 (C) 0.2934 (D) 0.6000
Q.10 The numeral in the units position of 211
870
+ 146
127
? 3
424
is _____.
END OF THE QUESTION PAPER
GATE 2016 ENGINEERING MATHEMATICS (COMPULSORY) ? XE-A
XE-A 1/2
A : ENGINEERING MATHEMATICS (COMPULSORY)
Q. 1 ? Q. 7 carry one mark each.
Q.1 A company records heights of all employees. Let X and Y denote the errors in the average height of
male and female employees respectively. Assume that ???? ~ ???? (0, 4) and ???? ~ ???? (0, 9) and they are
independent. Then the distribution of ???? = ( ???? + ???? )/2 is
(A) ???? (0, 6.5) (B) ???? (0, 3.25) (C) ???? (0, 2) (D) ???? (0, 1)
Q.2 The volume of the solid obtained by revolving the curve ???? 2
= ???? , 0 ? ???? ? 1 around ???? -axis is
(A) ???? (B) 2
(C)
???? 2
(D)
???? 5
Q.3
Let ???? ( ???? ) be the solution of the initial value problem
???????? ???????? + 2 ???????? = ???? ; ???? (0) = 0. Find the value of
lim
???? ? ?
???? ( ???? ).
Q.4 Which of the following is a quasi-linear partial differential equation?
(A)
???? 2
???? ???? ???? 2
+ ???? 2
= 0
(B) ?
???????? ???????? ?
2
+
???????? ???????? = 0
(C) ?
???????? ???????? ?
2
? ?
???????? ???????? ?
2
= 0
(D) ?
???????? ???????? ?
4
? ?
???????? ???????? ?
3
= 0
Q.5 Let ???? ( ???? ) and ???? ( ???? ) be the polynomials of degree 5, generated by Lagrange and Newton
interpolation methods respectively, both passing through given six distinct points on the ???????? -plane.
Which of the following is correct?
(A) ???? ( ???? ) ? ???? ( ???? )
(B) ???? ( ???? ) ? ???? ( ???? ) is a polynomial of degree 1
(C) ???? ( ???? ) ? ???? ( ???? ) is a polynomial of degree 2
(D) ???? ( ???? ) ? ???? ( ???? ) is a polynomial of degree 3
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GATE 2016 General Aptitude ? GA Set-8
Q. 1 ? Q. 5 carry one mark each.
Q.1 The chairman requested the aggrieved shareholders to _________________ him.
(A) bare with (B) bore with (C) bear with (D) bare
Q.2 Identify the correct spelling out of the given options:
(A) Managable (B) Manageable (C) Mangaeble (D) Managible
Q.3 Pick the odd one out in the following:
13, 23, 33, 43, 53
(A) 23 (B) 33 (C) 43 (D) 53
Q.4 R2D2 is a robot. R2D2 can repair aeroplanes. No other robot can repair aeroplanes.
Which of the following can be logically inferred from the above statements?
(A) R2D2 is a robot which can only repair aeroplanes.
(B) R2D2 is the only robot which can repair aeroplanes.
(C) R2D2 is a robot which can repair only aeroplanes.
(D) Only R2D2 is a robot.
Q.5 If |9y ?6| =3, then y
2
?4y/3 is .
(A) 0 (B) +1/3 (C) ?1/3 (D) undefined
1/3
GATE 2016 General Aptitude ? GA Set-8
Q. 6 ? Q. 10 carry two marks each.
Q.6 The following graph represents the installed capacity for cement production (in tonnes) and the
actual production (in tonnes) of nine cement plants of a cement company. Capacity utilization of a
plant is defined as ratio of actual production of cement to installed capacity. A plant with installed
capacity of at least 200 tonnes is called a large plant and a plant with lesser capacity is called a
small plant. The difference between total production of large plants and small plants, in tonnes is
____.
Q.7 A poll of students appearing for masters in engineering indicated that 60 % of the students believed
that mechanical engineering is a profession unsuitable for women. A research study on women with
masters or higher degrees in mechanical engineering found that 99 % of such women were
successful in their professions.
Which of the following can be logically inferred from the above paragraph?
(A) Many students have misconceptions regarding various engineering disciplines.
(B) Men with advanced degrees in mechanical engineering believe women are well suited to be
mechanical engineers.
(C) Mechanical engineering is a profession well suited for women with masters or higher degrees
in mechanical engineering.
(D) The number of women pursuing higher degrees in mechanical engineering is small.
2/3
GATE 2016 General Aptitude ? GA Set-8
3/3
Q.8 Sourya committee had proposed the establishment of Sourya Institutes of Technology (SITs) in line
with Indian Institutes of Technology (IITs) to cater to the technological and industrial needs of a
developing country.
Which of the following can be logically inferred from the above sentence?
Based on the proposal,
(i) In the initial years, SIT students will get degrees from IIT.
(ii) SITs will have a distinct national objective.
(iii) SIT like institutions can only be established in consultation with IIT.
(iv) SITs will serve technological needs of a developing country.
(A) (iii) and (iv) only. (B) (i) and (iv) only.
(C) (ii) and (iv) only. (D) (ii) and (iii) only.
Q.9 Shaquille O? Neal is a 60% career free throw shooter, meaning that he successfully makes 60 free
throws out of 100 attempts on average. What is the probability that he will successfully
make exactly 6 free throws in 10 attempts?
(A) 0.2508
(B) 0.2816 (C) 0.2934 (D) 0.6000
Q.10 The numeral in the units position of 211
870
+ 146
127
? 3
424
is _____.
END OF THE QUESTION PAPER
GATE 2016 ENGINEERING MATHEMATICS (COMPULSORY) ? XE-A
XE-A 1/2
A : ENGINEERING MATHEMATICS (COMPULSORY)
Q. 1 ? Q. 7 carry one mark each.
Q.1 A company records heights of all employees. Let X and Y denote the errors in the average height of
male and female employees respectively. Assume that ???? ~ ???? (0, 4) and ???? ~ ???? (0, 9) and they are
independent. Then the distribution of ???? = ( ???? + ???? )/2 is
(A) ???? (0, 6.5) (B) ???? (0, 3.25) (C) ???? (0, 2) (D) ???? (0, 1)
Q.2 The volume of the solid obtained by revolving the curve ???? 2
= ???? , 0 ? ???? ? 1 around ???? -axis is
(A) ???? (B) 2
(C)
???? 2
(D)
???? 5
Q.3
Let ???? ( ???? ) be the solution of the initial value problem
???????? ???????? + 2 ???????? = ???? ; ???? (0) = 0. Find the value of
lim
???? ? ?
???? ( ???? ).
Q.4 Which of the following is a quasi-linear partial differential equation?
(A)
???? 2
???? ???? ???? 2
+ ???? 2
= 0
(B) ?
???????? ???????? ?
2
+
???????? ???????? = 0
(C) ?
???????? ???????? ?
2
? ?
???????? ???????? ?
2
= 0
(D) ?
???????? ???????? ?
4
? ?
???????? ???????? ?
3
= 0
Q.5 Let ???? ( ???? ) and ???? ( ???? ) be the polynomials of degree 5, generated by Lagrange and Newton
interpolation methods respectively, both passing through given six distinct points on the ???????? -plane.
Which of the following is correct?
(A) ???? ( ???? ) ? ???? ( ???? )
(B) ???? ( ???? ) ? ???? ( ???? ) is a polynomial of degree 1
(C) ???? ( ???? ) ? ???? ( ???? ) is a polynomial of degree 2
(D) ???? ( ???? ) ? ???? ( ???? ) is a polynomial of degree 3
GATE 2016 ENGINEERING MATHEMATICS (COMPULSORY) ? XE-A
XE-A 2/2
Q.6 The Laurent series of ???? ( ???? ) = 1/( ???? 3
? ???? 4
) with center at ???? = 0 in the region | ???? | > 1 is
(A) ? ???? ???? ?3
?
???? =0
(B) ? ?
1
???? ???? +4
?
???? =0
(C) ? ???? ????
?
???? =0
(D) ?
1
???? ???? ?
???? =0
Q.7
The value of the surface integral F dS
?
?
??
n
??
over the sphere ? given by ???? 2
+ ???? 2
+ ???? 2
= 1,
where
? ?
=4 F x i - z k
?
, and n denotes the outward unit normal, is
(A) ????
(B) 2 ????
(C) 3 ????
(D) 4 ????
Q. 8 ? Q. 11 carry two marks each.
Q.8 A diagnostic test for a certain disease is 90% accurate. That is, the probability of a person having
(respectively, not having) the disease tested positive (respectively, negative) is 0.9. Fifty percent of
the population has the disease. What is the probability that a randomly chosen person has the
disease given that the person tested negative?
Q.9
Let ???? = ?
1 1
0 1
?. Which of the following is correct?
(A) Rank of ???? is 1 and ???? is not diagonalizable
(B) Rank of ???? is 2 and ???? is diagonalizable
(C) 1 is the only eigenvalue and ???? is not diagonalizable
(D) 1 is the only eigenvalue and ???? is diagonalizable
Q.10 Let ???? ( ???? ) = 2 ???? 3
? 3 ???? 2
+ 69, ?5 ? ???? ? 5. Find the point at which ???? attains the global
maximum.
Q.11
Calculate
12
CC
F dr F dr ?? ?
??
??
??
, where ???? 1
: ???? ?( ???? ) = ( ???? , ???? 2
) and ???? 2
: ???? ?( ???? ) = ? ???? , ? ???? ?, ???? varying from 0 to
1 and
?
F = xy j
?
.
END OF THE QUESTION PAPER
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This post was last modified on 18 December 2019