Download GATE (Graduate Aptitude Test in Engineering) Last 10 Years 2020, 2019, 2018, 2017, 2016, 2015, 2014, 2013, 2012, 2011 and 2010 PE Petroleum Engineering Question Papers With Solutions And Answer Keys
1/3
Q. 1 ? Q. 5 carry one mark each.
Q.1 An apple costs Rs. 10. An onion costs Rs. 8.
Select the most suitable sentence with respect to grammar and usage.
(A) The price of an apple is greater than an onion.
(B) The price of an apple is more than onion.
(C) The price of an apple is greater than that of an onion.
(D) Apples are more costlier than onions.
Q.2 The Buddha said, ?Holding on to anger is like grasping a hot coal with the intent of throwing it at
someone else; you are the one who gets burnt.?
Select the word below which is closest in meaning to the word underlined above.
(A) burning (B) igniting (C) clutching (D) flinging
Q.3 M has a son Q and a daughter R. He has no other children. E is the mother of P and daughter-in-
law of M. How is P related to M?
(A) P is the son-in-law of M. (B) P is the grandchild of M.
(C) P is the daughter-in law of M. (D) P is the grandfather of M.
Q.4 The number that least fits this set: (324, 441, 97 and 64) is ________.
(A) 324 (B) 441 (C) 97 (D) 64
Q.5 It takes 10 s and 15 s, respectively, for two trains travelling at different constant speeds to
completely pass a telegraph post. The length of the first train is 120 m and that of the second train is
150 m. The magnitude of the difference in the speeds of the two trains (in m/s) is ____________.
(A) 2.0 (B) 10.0 (C) 12.0 (D) 22.0
FirstRanker.com - FirstRanker's Choice
GATE 2016 General Aptitude - GA Set-4
1/3
Q. 1 ? Q. 5 carry one mark each.
Q.1 An apple costs Rs. 10. An onion costs Rs. 8.
Select the most suitable sentence with respect to grammar and usage.
(A) The price of an apple is greater than an onion.
(B) The price of an apple is more than onion.
(C) The price of an apple is greater than that of an onion.
(D) Apples are more costlier than onions.
Q.2 The Buddha said, ?Holding on to anger is like grasping a hot coal with the intent of throwing it at
someone else; you are the one who gets burnt.?
Select the word below which is closest in meaning to the word underlined above.
(A) burning (B) igniting (C) clutching (D) flinging
Q.3 M has a son Q and a daughter R. He has no other children. E is the mother of P and daughter-in-
law of M. How is P related to M?
(A) P is the son-in-law of M. (B) P is the grandchild of M.
(C) P is the daughter-in law of M. (D) P is the grandfather of M.
Q.4 The number that least fits this set: (324, 441, 97 and 64) is ________.
(A) 324 (B) 441 (C) 97 (D) 64
Q.5 It takes 10 s and 15 s, respectively, for two trains travelling at different constant speeds to
completely pass a telegraph post. The length of the first train is 120 m and that of the second train is
150 m. The magnitude of the difference in the speeds of the two trains (in m/s) is ____________.
(A) 2.0 (B) 10.0 (C) 12.0 (D) 22.0
Q. 6 ? Q.
Q.6 The
resp
incr
(A)
Q.7 The
Hea
dog
Wh
(A)
(B)
(C)
(D)
Q.8 A f
enj
you
the
(A)
Q.9 Fin
(A)
GATE 2016
10 carry tw
e velocity V
pect to time
rease by (in
) 0
e overwhelm
alth Organiz
gs against rab
hich of the fo
) The numb
) The numb
) Rabies can
) Stray dogs
flat is shared
oy some ext
unger than Tr
flat?
) Manu
nd the area bo
) 14.95
wo marks
V of a vehicl
e in seconds
m)?
(B)
ming number
zation as a so
bies can lead
ollowing can
ber of people
er of people
n be eradicat
s are the mai
by four first
tra space in
rideep. Pava
(B)
ounded by th
(B)
each.
le along a st
. At the end
3
r of people in
ource of con
d to a signific
be logically
in India infe
in other part
ed in India b
n source of r
t year underg
the flat. Ma
an is one mon
Sravan
he lines 3x+2
15.25
traight line i
d of the 7 s
(C)
nfected with
ncern. It is es
cant reductio
y inferred from
ected with ra
ts of the wor
by vaccinatin
rabies worldw
graduate stud
anu is two m
nth older than
(C)
2y=14, 2x-3y
(C)
is measured
seconds, how
4
h rabies in In
stimated that
on in the num
m the above
abies is high.
ld who are in
ng 70% of str
wide.
dents. They a
months older
n Sravan. W
Trideep
y=5 in the fir
15.70
in m/s and
w much will
(D)
ndia has been
t inoculating
mber of peopl
sentences?
nfected with
ray dogs.
agreed to allo
r than Sravan
Who should oc
(D)
rst quadrant.
(D)
General Ap
plotted as s
l the odome
5
n flagged by
g 70% of pet
le infected w
rabies is low
ow the oldest
n, who is th
ccupy the ex
Pavan
20.35
ptitude - GA Set-4
2/3
shown with
eter reading
y the World
ts and stray
with rabies.
w.
t of them to
hree months
xtra space in
4
3
FirstRanker.com - FirstRanker's Choice
GATE 2016 General Aptitude - GA Set-4
1/3
Q. 1 ? Q. 5 carry one mark each.
Q.1 An apple costs Rs. 10. An onion costs Rs. 8.
Select the most suitable sentence with respect to grammar and usage.
(A) The price of an apple is greater than an onion.
(B) The price of an apple is more than onion.
(C) The price of an apple is greater than that of an onion.
(D) Apples are more costlier than onions.
Q.2 The Buddha said, ?Holding on to anger is like grasping a hot coal with the intent of throwing it at
someone else; you are the one who gets burnt.?
Select the word below which is closest in meaning to the word underlined above.
(A) burning (B) igniting (C) clutching (D) flinging
Q.3 M has a son Q and a daughter R. He has no other children. E is the mother of P and daughter-in-
law of M. How is P related to M?
(A) P is the son-in-law of M. (B) P is the grandchild of M.
(C) P is the daughter-in law of M. (D) P is the grandfather of M.
Q.4 The number that least fits this set: (324, 441, 97 and 64) is ________.
(A) 324 (B) 441 (C) 97 (D) 64
Q.5 It takes 10 s and 15 s, respectively, for two trains travelling at different constant speeds to
completely pass a telegraph post. The length of the first train is 120 m and that of the second train is
150 m. The magnitude of the difference in the speeds of the two trains (in m/s) is ____________.
(A) 2.0 (B) 10.0 (C) 12.0 (D) 22.0
Q. 6 ? Q.
Q.6 The
resp
incr
(A)
Q.7 The
Hea
dog
Wh
(A)
(B)
(C)
(D)
Q.8 A f
enj
you
the
(A)
Q.9 Fin
(A)
GATE 2016
10 carry tw
e velocity V
pect to time
rease by (in
) 0
e overwhelm
alth Organiz
gs against rab
hich of the fo
) The numb
) The numb
) Rabies can
) Stray dogs
flat is shared
oy some ext
unger than Tr
flat?
) Manu
nd the area bo
) 14.95
wo marks
V of a vehicl
e in seconds
m)?
(B)
ming number
zation as a so
bies can lead
ollowing can
ber of people
er of people
n be eradicat
s are the mai
by four first
tra space in
rideep. Pava
(B)
ounded by th
(B)
each.
le along a st
. At the end
3
r of people in
ource of con
d to a signific
be logically
in India infe
in other part
ed in India b
n source of r
t year underg
the flat. Ma
an is one mon
Sravan
he lines 3x+2
15.25
traight line i
d of the 7 s
(C)
nfected with
ncern. It is es
cant reductio
y inferred from
ected with ra
ts of the wor
by vaccinatin
rabies worldw
graduate stud
anu is two m
nth older than
(C)
2y=14, 2x-3y
(C)
is measured
seconds, how
4
h rabies in In
stimated that
on in the num
m the above
abies is high.
ld who are in
ng 70% of str
wide.
dents. They a
months older
n Sravan. W
Trideep
y=5 in the fir
15.70
in m/s and
w much will
(D)
ndia has been
t inoculating
mber of peopl
sentences?
nfected with
ray dogs.
agreed to allo
r than Sravan
Who should oc
(D)
rst quadrant.
(D)
General Ap
plotted as s
l the odome
5
n flagged by
g 70% of pet
le infected w
rabies is low
ow the oldest
n, who is th
ccupy the ex
Pavan
20.35
ptitude - GA Set-4
2/3
shown with
eter reading
y the World
ts and stray
with rabies.
w.
t of them to
hree months
xtra space in
4
3
GATE 2016 General Aptitude - GA Set-4
3/3
Q.10 A straight line is fit to a data set (ln x, y). This line intercepts the abscissa at ln x = 0.1 and has a
slope of ?0.02. What is the value of y at x = 5 from the fit?
(A) ?0.030 (B) ?0.014 (C) 0.014 (D) 0.030
END OF THE QUESTION PAPER
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GATE 2016 General Aptitude - GA Set-4
1/3
Q. 1 ? Q. 5 carry one mark each.
Q.1 An apple costs Rs. 10. An onion costs Rs. 8.
Select the most suitable sentence with respect to grammar and usage.
(A) The price of an apple is greater than an onion.
(B) The price of an apple is more than onion.
(C) The price of an apple is greater than that of an onion.
(D) Apples are more costlier than onions.
Q.2 The Buddha said, ?Holding on to anger is like grasping a hot coal with the intent of throwing it at
someone else; you are the one who gets burnt.?
Select the word below which is closest in meaning to the word underlined above.
(A) burning (B) igniting (C) clutching (D) flinging
Q.3 M has a son Q and a daughter R. He has no other children. E is the mother of P and daughter-in-
law of M. How is P related to M?
(A) P is the son-in-law of M. (B) P is the grandchild of M.
(C) P is the daughter-in law of M. (D) P is the grandfather of M.
Q.4 The number that least fits this set: (324, 441, 97 and 64) is ________.
(A) 324 (B) 441 (C) 97 (D) 64
Q.5 It takes 10 s and 15 s, respectively, for two trains travelling at different constant speeds to
completely pass a telegraph post. The length of the first train is 120 m and that of the second train is
150 m. The magnitude of the difference in the speeds of the two trains (in m/s) is ____________.
(A) 2.0 (B) 10.0 (C) 12.0 (D) 22.0
Q. 6 ? Q.
Q.6 The
resp
incr
(A)
Q.7 The
Hea
dog
Wh
(A)
(B)
(C)
(D)
Q.8 A f
enj
you
the
(A)
Q.9 Fin
(A)
GATE 2016
10 carry tw
e velocity V
pect to time
rease by (in
) 0
e overwhelm
alth Organiz
gs against rab
hich of the fo
) The numb
) The numb
) Rabies can
) Stray dogs
flat is shared
oy some ext
unger than Tr
flat?
) Manu
nd the area bo
) 14.95
wo marks
V of a vehicl
e in seconds
m)?
(B)
ming number
zation as a so
bies can lead
ollowing can
ber of people
er of people
n be eradicat
s are the mai
by four first
tra space in
rideep. Pava
(B)
ounded by th
(B)
each.
le along a st
. At the end
3
r of people in
ource of con
d to a signific
be logically
in India infe
in other part
ed in India b
n source of r
t year underg
the flat. Ma
an is one mon
Sravan
he lines 3x+2
15.25
traight line i
d of the 7 s
(C)
nfected with
ncern. It is es
cant reductio
y inferred from
ected with ra
ts of the wor
by vaccinatin
rabies worldw
graduate stud
anu is two m
nth older than
(C)
2y=14, 2x-3y
(C)
is measured
seconds, how
4
h rabies in In
stimated that
on in the num
m the above
abies is high.
ld who are in
ng 70% of str
wide.
dents. They a
months older
n Sravan. W
Trideep
y=5 in the fir
15.70
in m/s and
w much will
(D)
ndia has been
t inoculating
mber of peopl
sentences?
nfected with
ray dogs.
agreed to allo
r than Sravan
Who should oc
(D)
rst quadrant.
(D)
General Ap
plotted as s
l the odome
5
n flagged by
g 70% of pet
le infected w
rabies is low
ow the oldest
n, who is th
ccupy the ex
Pavan
20.35
ptitude - GA Set-4
2/3
shown with
eter reading
y the World
ts and stray
with rabies.
w.
t of them to
hree months
xtra space in
4
3
GATE 2016 General Aptitude - GA Set-4
3/3
Q.10 A straight line is fit to a data set (ln x, y). This line intercepts the abscissa at ln x = 0.1 and has a
slope of ?0.02. What is the value of y at x = 5 from the fit?
(A) ?0.030 (B) ?0.014 (C) 0.014 (D) 0.030
END OF THE QUESTION PAPER
GATE 2016 Petroleum Engineering - PE
1/11
Q. 1 ? Q. 25 carry one mark each.
Q.1
The value of
0
1
lim
sin
x
x
e
x ?
?? ?
??
??
is equal to______.
Q.2
The function
1
()
1
fx
x
=
+
is
(A) continuous and differentiable.
(B) continuous but not differentiable.
(C) not continuous but differentiable.
(D) not continuous and not differentiable.
Q.3
The value of the definite integral
1
(ln )
e
x dx
?
is equal to _____.
Q.4
For a complex number Z =
13
22
i
??
+
??
??
??
, the value of Z
6
is
(A)
13
22
i
??
?+
??
??
??
(B) ?1
(C)
13
22
i
? ?
?
? ?
? ?
? ?
(D) 1
Q.5
The Laplace transform of the function
2t
e
?
is
(A)
1
2s
(B)
2
s
(C)
1
2 s +
(D)
2s
e
?
Q.6 Which of the following is preferred fast neutron source in neutron logging?
(A) Americium-Beryllium
(B) Radium-Beryllium
(C) Deuterium-Tritium
(D) Thorium-Beryllium
FirstRanker.com - FirstRanker's Choice
GATE 2016 General Aptitude - GA Set-4
1/3
Q. 1 ? Q. 5 carry one mark each.
Q.1 An apple costs Rs. 10. An onion costs Rs. 8.
Select the most suitable sentence with respect to grammar and usage.
(A) The price of an apple is greater than an onion.
(B) The price of an apple is more than onion.
(C) The price of an apple is greater than that of an onion.
(D) Apples are more costlier than onions.
Q.2 The Buddha said, ?Holding on to anger is like grasping a hot coal with the intent of throwing it at
someone else; you are the one who gets burnt.?
Select the word below which is closest in meaning to the word underlined above.
(A) burning (B) igniting (C) clutching (D) flinging
Q.3 M has a son Q and a daughter R. He has no other children. E is the mother of P and daughter-in-
law of M. How is P related to M?
(A) P is the son-in-law of M. (B) P is the grandchild of M.
(C) P is the daughter-in law of M. (D) P is the grandfather of M.
Q.4 The number that least fits this set: (324, 441, 97 and 64) is ________.
(A) 324 (B) 441 (C) 97 (D) 64
Q.5 It takes 10 s and 15 s, respectively, for two trains travelling at different constant speeds to
completely pass a telegraph post. The length of the first train is 120 m and that of the second train is
150 m. The magnitude of the difference in the speeds of the two trains (in m/s) is ____________.
(A) 2.0 (B) 10.0 (C) 12.0 (D) 22.0
Q. 6 ? Q.
Q.6 The
resp
incr
(A)
Q.7 The
Hea
dog
Wh
(A)
(B)
(C)
(D)
Q.8 A f
enj
you
the
(A)
Q.9 Fin
(A)
GATE 2016
10 carry tw
e velocity V
pect to time
rease by (in
) 0
e overwhelm
alth Organiz
gs against rab
hich of the fo
) The numb
) The numb
) Rabies can
) Stray dogs
flat is shared
oy some ext
unger than Tr
flat?
) Manu
nd the area bo
) 14.95
wo marks
V of a vehicl
e in seconds
m)?
(B)
ming number
zation as a so
bies can lead
ollowing can
ber of people
er of people
n be eradicat
s are the mai
by four first
tra space in
rideep. Pava
(B)
ounded by th
(B)
each.
le along a st
. At the end
3
r of people in
ource of con
d to a signific
be logically
in India infe
in other part
ed in India b
n source of r
t year underg
the flat. Ma
an is one mon
Sravan
he lines 3x+2
15.25
traight line i
d of the 7 s
(C)
nfected with
ncern. It is es
cant reductio
y inferred from
ected with ra
ts of the wor
by vaccinatin
rabies worldw
graduate stud
anu is two m
nth older than
(C)
2y=14, 2x-3y
(C)
is measured
seconds, how
4
h rabies in In
stimated that
on in the num
m the above
abies is high.
ld who are in
ng 70% of str
wide.
dents. They a
months older
n Sravan. W
Trideep
y=5 in the fir
15.70
in m/s and
w much will
(D)
ndia has been
t inoculating
mber of peopl
sentences?
nfected with
ray dogs.
agreed to allo
r than Sravan
Who should oc
(D)
rst quadrant.
(D)
General Ap
plotted as s
l the odome
5
n flagged by
g 70% of pet
le infected w
rabies is low
ow the oldest
n, who is th
ccupy the ex
Pavan
20.35
ptitude - GA Set-4
2/3
shown with
eter reading
y the World
ts and stray
with rabies.
w.
t of them to
hree months
xtra space in
4
3
GATE 2016 General Aptitude - GA Set-4
3/3
Q.10 A straight line is fit to a data set (ln x, y). This line intercepts the abscissa at ln x = 0.1 and has a
slope of ?0.02. What is the value of y at x = 5 from the fit?
(A) ?0.030 (B) ?0.014 (C) 0.014 (D) 0.030
END OF THE QUESTION PAPER
GATE 2016 Petroleum Engineering - PE
1/11
Q. 1 ? Q. 25 carry one mark each.
Q.1
The value of
0
1
lim
sin
x
x
e
x ?
?? ?
??
??
is equal to______.
Q.2
The function
1
()
1
fx
x
=
+
is
(A) continuous and differentiable.
(B) continuous but not differentiable.
(C) not continuous but differentiable.
(D) not continuous and not differentiable.
Q.3
The value of the definite integral
1
(ln )
e
x dx
?
is equal to _____.
Q.4
For a complex number Z =
13
22
i
??
+
??
??
??
, the value of Z
6
is
(A)
13
22
i
??
?+
??
??
??
(B) ?1
(C)
13
22
i
? ?
?
? ?
? ?
? ?
(D) 1
Q.5
The Laplace transform of the function
2t
e
?
is
(A)
1
2s
(B)
2
s
(C)
1
2 s +
(D)
2s
e
?
Q.6 Which of the following is preferred fast neutron source in neutron logging?
(A) Americium-Beryllium
(B) Radium-Beryllium
(C) Deuterium-Tritium
(D) Thorium-Beryllium
GATE 2016 Petroleum Engineering - PE
2/11
Q.7 Using the gamma ray log given in the figure, the shaliness index for point S is __________%.
Q.8 Identify the logging device that is based on the concept of longitudinal and transverse relaxation
times.
(A) Thermal neutron decay
(B) Induced gamma ray spectroscopy
(C) Neutron
(D) Nuclear Magnetic Resonance (NMR)
Q.9 The three main stages of evolution of organic matter in sediments are Catagenesis (C), Diagenesis
(D) and Metagenesis (M). Their chronological order is
(A) D - C - M (B) C - D - M
(C) D - M - C (D) C - M - D
Q.10 For a kick off operation, a directional well has to be drilled for an arc-length of 2500 ft to achieve
an inclination of 50 ?.
The radius of curvature will be ______ ft.
Q.11 Which of the following is the MOST COMMON cause for a fishing job?
(A) Differential sticking (B) Use of oil based mud
(C) Lost circulation (D) Well kick
FirstRanker.com - FirstRanker's Choice
GATE 2016 General Aptitude - GA Set-4
1/3
Q. 1 ? Q. 5 carry one mark each.
Q.1 An apple costs Rs. 10. An onion costs Rs. 8.
Select the most suitable sentence with respect to grammar and usage.
(A) The price of an apple is greater than an onion.
(B) The price of an apple is more than onion.
(C) The price of an apple is greater than that of an onion.
(D) Apples are more costlier than onions.
Q.2 The Buddha said, ?Holding on to anger is like grasping a hot coal with the intent of throwing it at
someone else; you are the one who gets burnt.?
Select the word below which is closest in meaning to the word underlined above.
(A) burning (B) igniting (C) clutching (D) flinging
Q.3 M has a son Q and a daughter R. He has no other children. E is the mother of P and daughter-in-
law of M. How is P related to M?
(A) P is the son-in-law of M. (B) P is the grandchild of M.
(C) P is the daughter-in law of M. (D) P is the grandfather of M.
Q.4 The number that least fits this set: (324, 441, 97 and 64) is ________.
(A) 324 (B) 441 (C) 97 (D) 64
Q.5 It takes 10 s and 15 s, respectively, for two trains travelling at different constant speeds to
completely pass a telegraph post. The length of the first train is 120 m and that of the second train is
150 m. The magnitude of the difference in the speeds of the two trains (in m/s) is ____________.
(A) 2.0 (B) 10.0 (C) 12.0 (D) 22.0
Q. 6 ? Q.
Q.6 The
resp
incr
(A)
Q.7 The
Hea
dog
Wh
(A)
(B)
(C)
(D)
Q.8 A f
enj
you
the
(A)
Q.9 Fin
(A)
GATE 2016
10 carry tw
e velocity V
pect to time
rease by (in
) 0
e overwhelm
alth Organiz
gs against rab
hich of the fo
) The numb
) The numb
) Rabies can
) Stray dogs
flat is shared
oy some ext
unger than Tr
flat?
) Manu
nd the area bo
) 14.95
wo marks
V of a vehicl
e in seconds
m)?
(B)
ming number
zation as a so
bies can lead
ollowing can
ber of people
er of people
n be eradicat
s are the mai
by four first
tra space in
rideep. Pava
(B)
ounded by th
(B)
each.
le along a st
. At the end
3
r of people in
ource of con
d to a signific
be logically
in India infe
in other part
ed in India b
n source of r
t year underg
the flat. Ma
an is one mon
Sravan
he lines 3x+2
15.25
traight line i
d of the 7 s
(C)
nfected with
ncern. It is es
cant reductio
y inferred from
ected with ra
ts of the wor
by vaccinatin
rabies worldw
graduate stud
anu is two m
nth older than
(C)
2y=14, 2x-3y
(C)
is measured
seconds, how
4
h rabies in In
stimated that
on in the num
m the above
abies is high.
ld who are in
ng 70% of str
wide.
dents. They a
months older
n Sravan. W
Trideep
y=5 in the fir
15.70
in m/s and
w much will
(D)
ndia has been
t inoculating
mber of peopl
sentences?
nfected with
ray dogs.
agreed to allo
r than Sravan
Who should oc
(D)
rst quadrant.
(D)
General Ap
plotted as s
l the odome
5
n flagged by
g 70% of pet
le infected w
rabies is low
ow the oldest
n, who is th
ccupy the ex
Pavan
20.35
ptitude - GA Set-4
2/3
shown with
eter reading
y the World
ts and stray
with rabies.
w.
t of them to
hree months
xtra space in
4
3
GATE 2016 General Aptitude - GA Set-4
3/3
Q.10 A straight line is fit to a data set (ln x, y). This line intercepts the abscissa at ln x = 0.1 and has a
slope of ?0.02. What is the value of y at x = 5 from the fit?
(A) ?0.030 (B) ?0.014 (C) 0.014 (D) 0.030
END OF THE QUESTION PAPER
GATE 2016 Petroleum Engineering - PE
1/11
Q. 1 ? Q. 25 carry one mark each.
Q.1
The value of
0
1
lim
sin
x
x
e
x ?
?? ?
??
??
is equal to______.
Q.2
The function
1
()
1
fx
x
=
+
is
(A) continuous and differentiable.
(B) continuous but not differentiable.
(C) not continuous but differentiable.
(D) not continuous and not differentiable.
Q.3
The value of the definite integral
1
(ln )
e
x dx
?
is equal to _____.
Q.4
For a complex number Z =
13
22
i
??
+
??
??
??
, the value of Z
6
is
(A)
13
22
i
??
?+
??
??
??
(B) ?1
(C)
13
22
i
? ?
?
? ?
? ?
? ?
(D) 1
Q.5
The Laplace transform of the function
2t
e
?
is
(A)
1
2s
(B)
2
s
(C)
1
2 s +
(D)
2s
e
?
Q.6 Which of the following is preferred fast neutron source in neutron logging?
(A) Americium-Beryllium
(B) Radium-Beryllium
(C) Deuterium-Tritium
(D) Thorium-Beryllium
GATE 2016 Petroleum Engineering - PE
2/11
Q.7 Using the gamma ray log given in the figure, the shaliness index for point S is __________%.
Q.8 Identify the logging device that is based on the concept of longitudinal and transverse relaxation
times.
(A) Thermal neutron decay
(B) Induced gamma ray spectroscopy
(C) Neutron
(D) Nuclear Magnetic Resonance (NMR)
Q.9 The three main stages of evolution of organic matter in sediments are Catagenesis (C), Diagenesis
(D) and Metagenesis (M). Their chronological order is
(A) D - C - M (B) C - D - M
(C) D - M - C (D) C - M - D
Q.10 For a kick off operation, a directional well has to be drilled for an arc-length of 2500 ft to achieve
an inclination of 50 ?.
The radius of curvature will be ______ ft.
Q.11 Which of the following is the MOST COMMON cause for a fishing job?
(A) Differential sticking (B) Use of oil based mud
(C) Lost circulation (D) Well kick
GATE 2016 Petroleum Engineering - PE
3/11
Q.12 The figure shows the producing gas oil ratio (GOR) behaviour with time for an oil reservoir under
primary production. At initial reservoir condition, P
b
is the bubble point pressure of the crude oil.
P
R
(t) represents the reservoir pressure at time ?t?. Which of the following statements is TRUE?
(A) P
R
(t
1
) > P
b
, P
R
(t
2
) > P
b
(B) P
R
(t
1
) > P
b
, P
R
(t
2
) < P
b
(C) P
R
(t
1
) < P
b
, P
R
(t
2
) > P
b
(D) P
R
(t
1
) < P
b
, P
R
(t
2
) < P
b
Q.13 A core, with a length of 10 cm, breadth of 4 cm and width of 4 cm, weighs 282.4 g in its dry form.
The core is then saturated 100% with brine of density 1.1 g/cm
3
. The brine saturated core weighs
300 g.
The porosity of this core sample is ___________%.
Q.14 A hydraulic line of a subsurface safety valve has a fluid of specific gravity 1.2 to operate the valve.
The valve closing pressure is 1,200 psia and the recommended safety margin is 200 psia.
The maximum depth at which the valve can be positioned is____________ ft.
Q.15 A sucker rod pump unit is designated by C-228D-200-74. Here, ?D? represents
(A) double reduction gear box. (B) diameter of sucker rod.
(C) diameter of plunger. (D) stroke length.
Q.16 The three translational motions for a floating vessel are
(A) Roll-Pitch-Yaw. (B) Heave-Pitch-Sway.
(C) Surge-Sway-Heave. (D) Roll-Sway-Heave.
Q.17 Jack-up rigs are typically used for off-shore drilling when the water depth is in the range
(A) < 25 ft (B) 50 - 500 ft (C) 1000 - 2000 ft (D) > 2000 ft
FirstRanker.com - FirstRanker's Choice
GATE 2016 General Aptitude - GA Set-4
1/3
Q. 1 ? Q. 5 carry one mark each.
Q.1 An apple costs Rs. 10. An onion costs Rs. 8.
Select the most suitable sentence with respect to grammar and usage.
(A) The price of an apple is greater than an onion.
(B) The price of an apple is more than onion.
(C) The price of an apple is greater than that of an onion.
(D) Apples are more costlier than onions.
Q.2 The Buddha said, ?Holding on to anger is like grasping a hot coal with the intent of throwing it at
someone else; you are the one who gets burnt.?
Select the word below which is closest in meaning to the word underlined above.
(A) burning (B) igniting (C) clutching (D) flinging
Q.3 M has a son Q and a daughter R. He has no other children. E is the mother of P and daughter-in-
law of M. How is P related to M?
(A) P is the son-in-law of M. (B) P is the grandchild of M.
(C) P is the daughter-in law of M. (D) P is the grandfather of M.
Q.4 The number that least fits this set: (324, 441, 97 and 64) is ________.
(A) 324 (B) 441 (C) 97 (D) 64
Q.5 It takes 10 s and 15 s, respectively, for two trains travelling at different constant speeds to
completely pass a telegraph post. The length of the first train is 120 m and that of the second train is
150 m. The magnitude of the difference in the speeds of the two trains (in m/s) is ____________.
(A) 2.0 (B) 10.0 (C) 12.0 (D) 22.0
Q. 6 ? Q.
Q.6 The
resp
incr
(A)
Q.7 The
Hea
dog
Wh
(A)
(B)
(C)
(D)
Q.8 A f
enj
you
the
(A)
Q.9 Fin
(A)
GATE 2016
10 carry tw
e velocity V
pect to time
rease by (in
) 0
e overwhelm
alth Organiz
gs against rab
hich of the fo
) The numb
) The numb
) Rabies can
) Stray dogs
flat is shared
oy some ext
unger than Tr
flat?
) Manu
nd the area bo
) 14.95
wo marks
V of a vehicl
e in seconds
m)?
(B)
ming number
zation as a so
bies can lead
ollowing can
ber of people
er of people
n be eradicat
s are the mai
by four first
tra space in
rideep. Pava
(B)
ounded by th
(B)
each.
le along a st
. At the end
3
r of people in
ource of con
d to a signific
be logically
in India infe
in other part
ed in India b
n source of r
t year underg
the flat. Ma
an is one mon
Sravan
he lines 3x+2
15.25
traight line i
d of the 7 s
(C)
nfected with
ncern. It is es
cant reductio
y inferred from
ected with ra
ts of the wor
by vaccinatin
rabies worldw
graduate stud
anu is two m
nth older than
(C)
2y=14, 2x-3y
(C)
is measured
seconds, how
4
h rabies in In
stimated that
on in the num
m the above
abies is high.
ld who are in
ng 70% of str
wide.
dents. They a
months older
n Sravan. W
Trideep
y=5 in the fir
15.70
in m/s and
w much will
(D)
ndia has been
t inoculating
mber of peopl
sentences?
nfected with
ray dogs.
agreed to allo
r than Sravan
Who should oc
(D)
rst quadrant.
(D)
General Ap
plotted as s
l the odome
5
n flagged by
g 70% of pet
le infected w
rabies is low
ow the oldest
n, who is th
ccupy the ex
Pavan
20.35
ptitude - GA Set-4
2/3
shown with
eter reading
y the World
ts and stray
with rabies.
w.
t of them to
hree months
xtra space in
4
3
GATE 2016 General Aptitude - GA Set-4
3/3
Q.10 A straight line is fit to a data set (ln x, y). This line intercepts the abscissa at ln x = 0.1 and has a
slope of ?0.02. What is the value of y at x = 5 from the fit?
(A) ?0.030 (B) ?0.014 (C) 0.014 (D) 0.030
END OF THE QUESTION PAPER
GATE 2016 Petroleum Engineering - PE
1/11
Q. 1 ? Q. 25 carry one mark each.
Q.1
The value of
0
1
lim
sin
x
x
e
x ?
?? ?
??
??
is equal to______.
Q.2
The function
1
()
1
fx
x
=
+
is
(A) continuous and differentiable.
(B) continuous but not differentiable.
(C) not continuous but differentiable.
(D) not continuous and not differentiable.
Q.3
The value of the definite integral
1
(ln )
e
x dx
?
is equal to _____.
Q.4
For a complex number Z =
13
22
i
??
+
??
??
??
, the value of Z
6
is
(A)
13
22
i
??
?+
??
??
??
(B) ?1
(C)
13
22
i
? ?
?
? ?
? ?
? ?
(D) 1
Q.5
The Laplace transform of the function
2t
e
?
is
(A)
1
2s
(B)
2
s
(C)
1
2 s +
(D)
2s
e
?
Q.6 Which of the following is preferred fast neutron source in neutron logging?
(A) Americium-Beryllium
(B) Radium-Beryllium
(C) Deuterium-Tritium
(D) Thorium-Beryllium
GATE 2016 Petroleum Engineering - PE
2/11
Q.7 Using the gamma ray log given in the figure, the shaliness index for point S is __________%.
Q.8 Identify the logging device that is based on the concept of longitudinal and transverse relaxation
times.
(A) Thermal neutron decay
(B) Induced gamma ray spectroscopy
(C) Neutron
(D) Nuclear Magnetic Resonance (NMR)
Q.9 The three main stages of evolution of organic matter in sediments are Catagenesis (C), Diagenesis
(D) and Metagenesis (M). Their chronological order is
(A) D - C - M (B) C - D - M
(C) D - M - C (D) C - M - D
Q.10 For a kick off operation, a directional well has to be drilled for an arc-length of 2500 ft to achieve
an inclination of 50 ?.
The radius of curvature will be ______ ft.
Q.11 Which of the following is the MOST COMMON cause for a fishing job?
(A) Differential sticking (B) Use of oil based mud
(C) Lost circulation (D) Well kick
GATE 2016 Petroleum Engineering - PE
3/11
Q.12 The figure shows the producing gas oil ratio (GOR) behaviour with time for an oil reservoir under
primary production. At initial reservoir condition, P
b
is the bubble point pressure of the crude oil.
P
R
(t) represents the reservoir pressure at time ?t?. Which of the following statements is TRUE?
(A) P
R
(t
1
) > P
b
, P
R
(t
2
) > P
b
(B) P
R
(t
1
) > P
b
, P
R
(t
2
) < P
b
(C) P
R
(t
1
) < P
b
, P
R
(t
2
) > P
b
(D) P
R
(t
1
) < P
b
, P
R
(t
2
) < P
b
Q.13 A core, with a length of 10 cm, breadth of 4 cm and width of 4 cm, weighs 282.4 g in its dry form.
The core is then saturated 100% with brine of density 1.1 g/cm
3
. The brine saturated core weighs
300 g.
The porosity of this core sample is ___________%.
Q.14 A hydraulic line of a subsurface safety valve has a fluid of specific gravity 1.2 to operate the valve.
The valve closing pressure is 1,200 psia and the recommended safety margin is 200 psia.
The maximum depth at which the valve can be positioned is____________ ft.
Q.15 A sucker rod pump unit is designated by C-228D-200-74. Here, ?D? represents
(A) double reduction gear box. (B) diameter of sucker rod.
(C) diameter of plunger. (D) stroke length.
Q.16 The three translational motions for a floating vessel are
(A) Roll-Pitch-Yaw. (B) Heave-Pitch-Sway.
(C) Surge-Sway-Heave. (D) Roll-Sway-Heave.
Q.17 Jack-up rigs are typically used for off-shore drilling when the water depth is in the range
(A) < 25 ft (B) 50 - 500 ft (C) 1000 - 2000 ft (D) > 2000 ft
GATE 2016 Petroleum Engineering - PE
4/11
Q.18 Interference tests can be used for
I. determining communication between two or more wells.
II. mature oil wells having skin damage.
III. determining permeability in tested wells.
IV. providing inputs for secondary and tertiary oil recovery methods
(A) only I and II (B) only I, II and IV (C) only II, III and IV (D) I, II, III and IV
Q.19 For an effective hydraulically-fractured well, the skin factor would GENERALLY be
(A) negative. (B) positive. (C) zero. (D) indeterminate.
Q.20 The maximum discharge limit of oil and grease in a marine coastal area as per Environmental
(protection) Rules, 1986 in India is
(A) 0.1 mg/L. (B) 20 mg/L. (C) 500 mg/L. (D) 4000 mg/L.
Q.21 Which of the following gases is NOT responsible for global warming?
(A) Carbon dioxide (B) Methane
(C) Water vapour (D) Nitrogen
Q.22 In an oil reservoir flooded with water, the volumetric sweep efficiency is 70%. The connate water
saturation in the reservoir is 0.4 and the residual oil saturation for the water flood is 0.3.
The overall efficiency of the reservoir is ____________ %.
Q.23 Identify the pair of CORRECT statements for surfactant-micellar-polymer flooding.
I. It reduces interfacial tension between crude oil and water.
II. It influences mobility ratio unfavorably.
III. It improves microscopic displacement efficiency.
IV. It increases isothermal compressibility of the crude oil.
(A) I & II (B) I & III
(C) III & IV (D) II & IV
FirstRanker.com - FirstRanker's Choice
GATE 2016 General Aptitude - GA Set-4
1/3
Q. 1 ? Q. 5 carry one mark each.
Q.1 An apple costs Rs. 10. An onion costs Rs. 8.
Select the most suitable sentence with respect to grammar and usage.
(A) The price of an apple is greater than an onion.
(B) The price of an apple is more than onion.
(C) The price of an apple is greater than that of an onion.
(D) Apples are more costlier than onions.
Q.2 The Buddha said, ?Holding on to anger is like grasping a hot coal with the intent of throwing it at
someone else; you are the one who gets burnt.?
Select the word below which is closest in meaning to the word underlined above.
(A) burning (B) igniting (C) clutching (D) flinging
Q.3 M has a son Q and a daughter R. He has no other children. E is the mother of P and daughter-in-
law of M. How is P related to M?
(A) P is the son-in-law of M. (B) P is the grandchild of M.
(C) P is the daughter-in law of M. (D) P is the grandfather of M.
Q.4 The number that least fits this set: (324, 441, 97 and 64) is ________.
(A) 324 (B) 441 (C) 97 (D) 64
Q.5 It takes 10 s and 15 s, respectively, for two trains travelling at different constant speeds to
completely pass a telegraph post. The length of the first train is 120 m and that of the second train is
150 m. The magnitude of the difference in the speeds of the two trains (in m/s) is ____________.
(A) 2.0 (B) 10.0 (C) 12.0 (D) 22.0
Q. 6 ? Q.
Q.6 The
resp
incr
(A)
Q.7 The
Hea
dog
Wh
(A)
(B)
(C)
(D)
Q.8 A f
enj
you
the
(A)
Q.9 Fin
(A)
GATE 2016
10 carry tw
e velocity V
pect to time
rease by (in
) 0
e overwhelm
alth Organiz
gs against rab
hich of the fo
) The numb
) The numb
) Rabies can
) Stray dogs
flat is shared
oy some ext
unger than Tr
flat?
) Manu
nd the area bo
) 14.95
wo marks
V of a vehicl
e in seconds
m)?
(B)
ming number
zation as a so
bies can lead
ollowing can
ber of people
er of people
n be eradicat
s are the mai
by four first
tra space in
rideep. Pava
(B)
ounded by th
(B)
each.
le along a st
. At the end
3
r of people in
ource of con
d to a signific
be logically
in India infe
in other part
ed in India b
n source of r
t year underg
the flat. Ma
an is one mon
Sravan
he lines 3x+2
15.25
traight line i
d of the 7 s
(C)
nfected with
ncern. It is es
cant reductio
y inferred from
ected with ra
ts of the wor
by vaccinatin
rabies worldw
graduate stud
anu is two m
nth older than
(C)
2y=14, 2x-3y
(C)
is measured
seconds, how
4
h rabies in In
stimated that
on in the num
m the above
abies is high.
ld who are in
ng 70% of str
wide.
dents. They a
months older
n Sravan. W
Trideep
y=5 in the fir
15.70
in m/s and
w much will
(D)
ndia has been
t inoculating
mber of peopl
sentences?
nfected with
ray dogs.
agreed to allo
r than Sravan
Who should oc
(D)
rst quadrant.
(D)
General Ap
plotted as s
l the odome
5
n flagged by
g 70% of pet
le infected w
rabies is low
ow the oldest
n, who is th
ccupy the ex
Pavan
20.35
ptitude - GA Set-4
2/3
shown with
eter reading
y the World
ts and stray
with rabies.
w.
t of them to
hree months
xtra space in
4
3
GATE 2016 General Aptitude - GA Set-4
3/3
Q.10 A straight line is fit to a data set (ln x, y). This line intercepts the abscissa at ln x = 0.1 and has a
slope of ?0.02. What is the value of y at x = 5 from the fit?
(A) ?0.030 (B) ?0.014 (C) 0.014 (D) 0.030
END OF THE QUESTION PAPER
GATE 2016 Petroleum Engineering - PE
1/11
Q. 1 ? Q. 25 carry one mark each.
Q.1
The value of
0
1
lim
sin
x
x
e
x ?
?? ?
??
??
is equal to______.
Q.2
The function
1
()
1
fx
x
=
+
is
(A) continuous and differentiable.
(B) continuous but not differentiable.
(C) not continuous but differentiable.
(D) not continuous and not differentiable.
Q.3
The value of the definite integral
1
(ln )
e
x dx
?
is equal to _____.
Q.4
For a complex number Z =
13
22
i
??
+
??
??
??
, the value of Z
6
is
(A)
13
22
i
??
?+
??
??
??
(B) ?1
(C)
13
22
i
? ?
?
? ?
? ?
? ?
(D) 1
Q.5
The Laplace transform of the function
2t
e
?
is
(A)
1
2s
(B)
2
s
(C)
1
2 s +
(D)
2s
e
?
Q.6 Which of the following is preferred fast neutron source in neutron logging?
(A) Americium-Beryllium
(B) Radium-Beryllium
(C) Deuterium-Tritium
(D) Thorium-Beryllium
GATE 2016 Petroleum Engineering - PE
2/11
Q.7 Using the gamma ray log given in the figure, the shaliness index for point S is __________%.
Q.8 Identify the logging device that is based on the concept of longitudinal and transverse relaxation
times.
(A) Thermal neutron decay
(B) Induced gamma ray spectroscopy
(C) Neutron
(D) Nuclear Magnetic Resonance (NMR)
Q.9 The three main stages of evolution of organic matter in sediments are Catagenesis (C), Diagenesis
(D) and Metagenesis (M). Their chronological order is
(A) D - C - M (B) C - D - M
(C) D - M - C (D) C - M - D
Q.10 For a kick off operation, a directional well has to be drilled for an arc-length of 2500 ft to achieve
an inclination of 50 ?.
The radius of curvature will be ______ ft.
Q.11 Which of the following is the MOST COMMON cause for a fishing job?
(A) Differential sticking (B) Use of oil based mud
(C) Lost circulation (D) Well kick
GATE 2016 Petroleum Engineering - PE
3/11
Q.12 The figure shows the producing gas oil ratio (GOR) behaviour with time for an oil reservoir under
primary production. At initial reservoir condition, P
b
is the bubble point pressure of the crude oil.
P
R
(t) represents the reservoir pressure at time ?t?. Which of the following statements is TRUE?
(A) P
R
(t
1
) > P
b
, P
R
(t
2
) > P
b
(B) P
R
(t
1
) > P
b
, P
R
(t
2
) < P
b
(C) P
R
(t
1
) < P
b
, P
R
(t
2
) > P
b
(D) P
R
(t
1
) < P
b
, P
R
(t
2
) < P
b
Q.13 A core, with a length of 10 cm, breadth of 4 cm and width of 4 cm, weighs 282.4 g in its dry form.
The core is then saturated 100% with brine of density 1.1 g/cm
3
. The brine saturated core weighs
300 g.
The porosity of this core sample is ___________%.
Q.14 A hydraulic line of a subsurface safety valve has a fluid of specific gravity 1.2 to operate the valve.
The valve closing pressure is 1,200 psia and the recommended safety margin is 200 psia.
The maximum depth at which the valve can be positioned is____________ ft.
Q.15 A sucker rod pump unit is designated by C-228D-200-74. Here, ?D? represents
(A) double reduction gear box. (B) diameter of sucker rod.
(C) diameter of plunger. (D) stroke length.
Q.16 The three translational motions for a floating vessel are
(A) Roll-Pitch-Yaw. (B) Heave-Pitch-Sway.
(C) Surge-Sway-Heave. (D) Roll-Sway-Heave.
Q.17 Jack-up rigs are typically used for off-shore drilling when the water depth is in the range
(A) < 25 ft (B) 50 - 500 ft (C) 1000 - 2000 ft (D) > 2000 ft
GATE 2016 Petroleum Engineering - PE
4/11
Q.18 Interference tests can be used for
I. determining communication between two or more wells.
II. mature oil wells having skin damage.
III. determining permeability in tested wells.
IV. providing inputs for secondary and tertiary oil recovery methods
(A) only I and II (B) only I, II and IV (C) only II, III and IV (D) I, II, III and IV
Q.19 For an effective hydraulically-fractured well, the skin factor would GENERALLY be
(A) negative. (B) positive. (C) zero. (D) indeterminate.
Q.20 The maximum discharge limit of oil and grease in a marine coastal area as per Environmental
(protection) Rules, 1986 in India is
(A) 0.1 mg/L. (B) 20 mg/L. (C) 500 mg/L. (D) 4000 mg/L.
Q.21 Which of the following gases is NOT responsible for global warming?
(A) Carbon dioxide (B) Methane
(C) Water vapour (D) Nitrogen
Q.22 In an oil reservoir flooded with water, the volumetric sweep efficiency is 70%. The connate water
saturation in the reservoir is 0.4 and the residual oil saturation for the water flood is 0.3.
The overall efficiency of the reservoir is ____________ %.
Q.23 Identify the pair of CORRECT statements for surfactant-micellar-polymer flooding.
I. It reduces interfacial tension between crude oil and water.
II. It influences mobility ratio unfavorably.
III. It improves microscopic displacement efficiency.
IV. It increases isothermal compressibility of the crude oil.
(A) I & II (B) I & III
(C) III & IV (D) II & IV
GATE 2016 Petroleum Engineering - PE
5/11
Q.24 Gas hydrate forms at
(A) low pressure and low temperature conditions.
(B) low pressure and high temperature conditions.
(C) high pressure and low temperature conditions.
(D) high pressure and high temperature conditions.
Q.25 Production of coal bed methane (CBM) is based on
(A) distillation. (B) underground coal gasification.
(C) desorption. (D) coal liquefaction.
Q. 26 ? Q. 55 carry two marks each.
Q.26
The divergence of the velocity field
2
? ??
( ) ( 2) ( ) V x y i z xy j xy k = + +? +
?
at (1, 1, 1) is
_________.
Q.27 For a function f(x), the values of the function in the interval [0, 1] are given in the table below.
x f(x)
0.0 1.0
0.2 1.24
0.4 1.56
0.6 1.96
0.8 2.44
1.0 3.0
The value of the integral
1
0
() f x dx
?
according to the trapezoidal rule is ________.
Q.28 A box has a total of ten identical sized balls. Seven of these balls are black in colour and the rest
three are red. Three balls are picked from the box one after another without replacement.
The probability that two of the balls are black and one is red is equal to ______.
FirstRanker.com - FirstRanker's Choice
GATE 2016 General Aptitude - GA Set-4
1/3
Q. 1 ? Q. 5 carry one mark each.
Q.1 An apple costs Rs. 10. An onion costs Rs. 8.
Select the most suitable sentence with respect to grammar and usage.
(A) The price of an apple is greater than an onion.
(B) The price of an apple is more than onion.
(C) The price of an apple is greater than that of an onion.
(D) Apples are more costlier than onions.
Q.2 The Buddha said, ?Holding on to anger is like grasping a hot coal with the intent of throwing it at
someone else; you are the one who gets burnt.?
Select the word below which is closest in meaning to the word underlined above.
(A) burning (B) igniting (C) clutching (D) flinging
Q.3 M has a son Q and a daughter R. He has no other children. E is the mother of P and daughter-in-
law of M. How is P related to M?
(A) P is the son-in-law of M. (B) P is the grandchild of M.
(C) P is the daughter-in law of M. (D) P is the grandfather of M.
Q.4 The number that least fits this set: (324, 441, 97 and 64) is ________.
(A) 324 (B) 441 (C) 97 (D) 64
Q.5 It takes 10 s and 15 s, respectively, for two trains travelling at different constant speeds to
completely pass a telegraph post. The length of the first train is 120 m and that of the second train is
150 m. The magnitude of the difference in the speeds of the two trains (in m/s) is ____________.
(A) 2.0 (B) 10.0 (C) 12.0 (D) 22.0
Q. 6 ? Q.
Q.6 The
resp
incr
(A)
Q.7 The
Hea
dog
Wh
(A)
(B)
(C)
(D)
Q.8 A f
enj
you
the
(A)
Q.9 Fin
(A)
GATE 2016
10 carry tw
e velocity V
pect to time
rease by (in
) 0
e overwhelm
alth Organiz
gs against rab
hich of the fo
) The numb
) The numb
) Rabies can
) Stray dogs
flat is shared
oy some ext
unger than Tr
flat?
) Manu
nd the area bo
) 14.95
wo marks
V of a vehicl
e in seconds
m)?
(B)
ming number
zation as a so
bies can lead
ollowing can
ber of people
er of people
n be eradicat
s are the mai
by four first
tra space in
rideep. Pava
(B)
ounded by th
(B)
each.
le along a st
. At the end
3
r of people in
ource of con
d to a signific
be logically
in India infe
in other part
ed in India b
n source of r
t year underg
the flat. Ma
an is one mon
Sravan
he lines 3x+2
15.25
traight line i
d of the 7 s
(C)
nfected with
ncern. It is es
cant reductio
y inferred from
ected with ra
ts of the wor
by vaccinatin
rabies worldw
graduate stud
anu is two m
nth older than
(C)
2y=14, 2x-3y
(C)
is measured
seconds, how
4
h rabies in In
stimated that
on in the num
m the above
abies is high.
ld who are in
ng 70% of str
wide.
dents. They a
months older
n Sravan. W
Trideep
y=5 in the fir
15.70
in m/s and
w much will
(D)
ndia has been
t inoculating
mber of peopl
sentences?
nfected with
ray dogs.
agreed to allo
r than Sravan
Who should oc
(D)
rst quadrant.
(D)
General Ap
plotted as s
l the odome
5
n flagged by
g 70% of pet
le infected w
rabies is low
ow the oldest
n, who is th
ccupy the ex
Pavan
20.35
ptitude - GA Set-4
2/3
shown with
eter reading
y the World
ts and stray
with rabies.
w.
t of them to
hree months
xtra space in
4
3
GATE 2016 General Aptitude - GA Set-4
3/3
Q.10 A straight line is fit to a data set (ln x, y). This line intercepts the abscissa at ln x = 0.1 and has a
slope of ?0.02. What is the value of y at x = 5 from the fit?
(A) ?0.030 (B) ?0.014 (C) 0.014 (D) 0.030
END OF THE QUESTION PAPER
GATE 2016 Petroleum Engineering - PE
1/11
Q. 1 ? Q. 25 carry one mark each.
Q.1
The value of
0
1
lim
sin
x
x
e
x ?
?? ?
??
??
is equal to______.
Q.2
The function
1
()
1
fx
x
=
+
is
(A) continuous and differentiable.
(B) continuous but not differentiable.
(C) not continuous but differentiable.
(D) not continuous and not differentiable.
Q.3
The value of the definite integral
1
(ln )
e
x dx
?
is equal to _____.
Q.4
For a complex number Z =
13
22
i
??
+
??
??
??
, the value of Z
6
is
(A)
13
22
i
??
?+
??
??
??
(B) ?1
(C)
13
22
i
? ?
?
? ?
? ?
? ?
(D) 1
Q.5
The Laplace transform of the function
2t
e
?
is
(A)
1
2s
(B)
2
s
(C)
1
2 s +
(D)
2s
e
?
Q.6 Which of the following is preferred fast neutron source in neutron logging?
(A) Americium-Beryllium
(B) Radium-Beryllium
(C) Deuterium-Tritium
(D) Thorium-Beryllium
GATE 2016 Petroleum Engineering - PE
2/11
Q.7 Using the gamma ray log given in the figure, the shaliness index for point S is __________%.
Q.8 Identify the logging device that is based on the concept of longitudinal and transverse relaxation
times.
(A) Thermal neutron decay
(B) Induced gamma ray spectroscopy
(C) Neutron
(D) Nuclear Magnetic Resonance (NMR)
Q.9 The three main stages of evolution of organic matter in sediments are Catagenesis (C), Diagenesis
(D) and Metagenesis (M). Their chronological order is
(A) D - C - M (B) C - D - M
(C) D - M - C (D) C - M - D
Q.10 For a kick off operation, a directional well has to be drilled for an arc-length of 2500 ft to achieve
an inclination of 50 ?.
The radius of curvature will be ______ ft.
Q.11 Which of the following is the MOST COMMON cause for a fishing job?
(A) Differential sticking (B) Use of oil based mud
(C) Lost circulation (D) Well kick
GATE 2016 Petroleum Engineering - PE
3/11
Q.12 The figure shows the producing gas oil ratio (GOR) behaviour with time for an oil reservoir under
primary production. At initial reservoir condition, P
b
is the bubble point pressure of the crude oil.
P
R
(t) represents the reservoir pressure at time ?t?. Which of the following statements is TRUE?
(A) P
R
(t
1
) > P
b
, P
R
(t
2
) > P
b
(B) P
R
(t
1
) > P
b
, P
R
(t
2
) < P
b
(C) P
R
(t
1
) < P
b
, P
R
(t
2
) > P
b
(D) P
R
(t
1
) < P
b
, P
R
(t
2
) < P
b
Q.13 A core, with a length of 10 cm, breadth of 4 cm and width of 4 cm, weighs 282.4 g in its dry form.
The core is then saturated 100% with brine of density 1.1 g/cm
3
. The brine saturated core weighs
300 g.
The porosity of this core sample is ___________%.
Q.14 A hydraulic line of a subsurface safety valve has a fluid of specific gravity 1.2 to operate the valve.
The valve closing pressure is 1,200 psia and the recommended safety margin is 200 psia.
The maximum depth at which the valve can be positioned is____________ ft.
Q.15 A sucker rod pump unit is designated by C-228D-200-74. Here, ?D? represents
(A) double reduction gear box. (B) diameter of sucker rod.
(C) diameter of plunger. (D) stroke length.
Q.16 The three translational motions for a floating vessel are
(A) Roll-Pitch-Yaw. (B) Heave-Pitch-Sway.
(C) Surge-Sway-Heave. (D) Roll-Sway-Heave.
Q.17 Jack-up rigs are typically used for off-shore drilling when the water depth is in the range
(A) < 25 ft (B) 50 - 500 ft (C) 1000 - 2000 ft (D) > 2000 ft
GATE 2016 Petroleum Engineering - PE
4/11
Q.18 Interference tests can be used for
I. determining communication between two or more wells.
II. mature oil wells having skin damage.
III. determining permeability in tested wells.
IV. providing inputs for secondary and tertiary oil recovery methods
(A) only I and II (B) only I, II and IV (C) only II, III and IV (D) I, II, III and IV
Q.19 For an effective hydraulically-fractured well, the skin factor would GENERALLY be
(A) negative. (B) positive. (C) zero. (D) indeterminate.
Q.20 The maximum discharge limit of oil and grease in a marine coastal area as per Environmental
(protection) Rules, 1986 in India is
(A) 0.1 mg/L. (B) 20 mg/L. (C) 500 mg/L. (D) 4000 mg/L.
Q.21 Which of the following gases is NOT responsible for global warming?
(A) Carbon dioxide (B) Methane
(C) Water vapour (D) Nitrogen
Q.22 In an oil reservoir flooded with water, the volumetric sweep efficiency is 70%. The connate water
saturation in the reservoir is 0.4 and the residual oil saturation for the water flood is 0.3.
The overall efficiency of the reservoir is ____________ %.
Q.23 Identify the pair of CORRECT statements for surfactant-micellar-polymer flooding.
I. It reduces interfacial tension between crude oil and water.
II. It influences mobility ratio unfavorably.
III. It improves microscopic displacement efficiency.
IV. It increases isothermal compressibility of the crude oil.
(A) I & II (B) I & III
(C) III & IV (D) II & IV
GATE 2016 Petroleum Engineering - PE
5/11
Q.24 Gas hydrate forms at
(A) low pressure and low temperature conditions.
(B) low pressure and high temperature conditions.
(C) high pressure and low temperature conditions.
(D) high pressure and high temperature conditions.
Q.25 Production of coal bed methane (CBM) is based on
(A) distillation. (B) underground coal gasification.
(C) desorption. (D) coal liquefaction.
Q. 26 ? Q. 55 carry two marks each.
Q.26
The divergence of the velocity field
2
? ??
( ) ( 2) ( ) V x y i z xy j xy k = + +? +
?
at (1, 1, 1) is
_________.
Q.27 For a function f(x), the values of the function in the interval [0, 1] are given in the table below.
x f(x)
0.0 1.0
0.2 1.24
0.4 1.56
0.6 1.96
0.8 2.44
1.0 3.0
The value of the integral
1
0
() f x dx
?
according to the trapezoidal rule is ________.
Q.28 A box has a total of ten identical sized balls. Seven of these balls are black in colour and the rest
three are red. Three balls are picked from the box one after another without replacement.
The probability that two of the balls are black and one is red is equal to ______.
GATE 2016 Petroleum Engineering - PE
6/11
Q.29
Consider the matrix, M =
53
35
? ?
? ?
? ?
. The normalized eigen-vector corresponding to the smallest
eigen-value of the matrix M is
(A)
3
2
1
2
??
??
??
??
??
??
(B)
3
2
1
2
??
??
??
? ??
??
??
(C)
1
2
1
2
??
??
??
? ??
??
??
(D)
1
2
1
2
??
??
??
??
??
??
Q.30 For the differential equation
2
2
2
2 20
d y dy
x x y
dx dx
? +=
the general solution is
(A)
12
x
y C x Ce = +
(B)
12
sin cos y C xC x = +
(C)
12
xx
y Ce C e
?
= +
(D)
2
12
y Cx C x = +
Q.31 The porosities of cubic and hexagonal packings, respectively, are
(A) 47.6% and 25.9%. (B) 39.5% and 29.5%.
(C) 47.6% and 39.5%. (D) 39.5% and 25.9%.
Q.32 In sonic logging, the sonic velocities in the formation and drilling mud are 50,000 ft/s and 500 ft/s,
respectively.
The critical angle is ____ radians.
Q.33 A section of a clean sandstone reservoir was logged and found to have a porosity of 10%. The
cementation (m) and saturation (n) exponents are equal to 2. The constant ?a? in Archie?s saturation
equation is 1. The formation water resistivity is 0.036 ohm-meter and the formation resistivity is 10
ohm-meter.
The water saturation in the reservoir is______%.
FirstRanker.com - FirstRanker's Choice
GATE 2016 General Aptitude - GA Set-4
1/3
Q. 1 ? Q. 5 carry one mark each.
Q.1 An apple costs Rs. 10. An onion costs Rs. 8.
Select the most suitable sentence with respect to grammar and usage.
(A) The price of an apple is greater than an onion.
(B) The price of an apple is more than onion.
(C) The price of an apple is greater than that of an onion.
(D) Apples are more costlier than onions.
Q.2 The Buddha said, ?Holding on to anger is like grasping a hot coal with the intent of throwing it at
someone else; you are the one who gets burnt.?
Select the word below which is closest in meaning to the word underlined above.
(A) burning (B) igniting (C) clutching (D) flinging
Q.3 M has a son Q and a daughter R. He has no other children. E is the mother of P and daughter-in-
law of M. How is P related to M?
(A) P is the son-in-law of M. (B) P is the grandchild of M.
(C) P is the daughter-in law of M. (D) P is the grandfather of M.
Q.4 The number that least fits this set: (324, 441, 97 and 64) is ________.
(A) 324 (B) 441 (C) 97 (D) 64
Q.5 It takes 10 s and 15 s, respectively, for two trains travelling at different constant speeds to
completely pass a telegraph post. The length of the first train is 120 m and that of the second train is
150 m. The magnitude of the difference in the speeds of the two trains (in m/s) is ____________.
(A) 2.0 (B) 10.0 (C) 12.0 (D) 22.0
Q. 6 ? Q.
Q.6 The
resp
incr
(A)
Q.7 The
Hea
dog
Wh
(A)
(B)
(C)
(D)
Q.8 A f
enj
you
the
(A)
Q.9 Fin
(A)
GATE 2016
10 carry tw
e velocity V
pect to time
rease by (in
) 0
e overwhelm
alth Organiz
gs against rab
hich of the fo
) The numb
) The numb
) Rabies can
) Stray dogs
flat is shared
oy some ext
unger than Tr
flat?
) Manu
nd the area bo
) 14.95
wo marks
V of a vehicl
e in seconds
m)?
(B)
ming number
zation as a so
bies can lead
ollowing can
ber of people
er of people
n be eradicat
s are the mai
by four first
tra space in
rideep. Pava
(B)
ounded by th
(B)
each.
le along a st
. At the end
3
r of people in
ource of con
d to a signific
be logically
in India infe
in other part
ed in India b
n source of r
t year underg
the flat. Ma
an is one mon
Sravan
he lines 3x+2
15.25
traight line i
d of the 7 s
(C)
nfected with
ncern. It is es
cant reductio
y inferred from
ected with ra
ts of the wor
by vaccinatin
rabies worldw
graduate stud
anu is two m
nth older than
(C)
2y=14, 2x-3y
(C)
is measured
seconds, how
4
h rabies in In
stimated that
on in the num
m the above
abies is high.
ld who are in
ng 70% of str
wide.
dents. They a
months older
n Sravan. W
Trideep
y=5 in the fir
15.70
in m/s and
w much will
(D)
ndia has been
t inoculating
mber of peopl
sentences?
nfected with
ray dogs.
agreed to allo
r than Sravan
Who should oc
(D)
rst quadrant.
(D)
General Ap
plotted as s
l the odome
5
n flagged by
g 70% of pet
le infected w
rabies is low
ow the oldest
n, who is th
ccupy the ex
Pavan
20.35
ptitude - GA Set-4
2/3
shown with
eter reading
y the World
ts and stray
with rabies.
w.
t of them to
hree months
xtra space in
4
3
GATE 2016 General Aptitude - GA Set-4
3/3
Q.10 A straight line is fit to a data set (ln x, y). This line intercepts the abscissa at ln x = 0.1 and has a
slope of ?0.02. What is the value of y at x = 5 from the fit?
(A) ?0.030 (B) ?0.014 (C) 0.014 (D) 0.030
END OF THE QUESTION PAPER
GATE 2016 Petroleum Engineering - PE
1/11
Q. 1 ? Q. 25 carry one mark each.
Q.1
The value of
0
1
lim
sin
x
x
e
x ?
?? ?
??
??
is equal to______.
Q.2
The function
1
()
1
fx
x
=
+
is
(A) continuous and differentiable.
(B) continuous but not differentiable.
(C) not continuous but differentiable.
(D) not continuous and not differentiable.
Q.3
The value of the definite integral
1
(ln )
e
x dx
?
is equal to _____.
Q.4
For a complex number Z =
13
22
i
??
+
??
??
??
, the value of Z
6
is
(A)
13
22
i
??
?+
??
??
??
(B) ?1
(C)
13
22
i
? ?
?
? ?
? ?
? ?
(D) 1
Q.5
The Laplace transform of the function
2t
e
?
is
(A)
1
2s
(B)
2
s
(C)
1
2 s +
(D)
2s
e
?
Q.6 Which of the following is preferred fast neutron source in neutron logging?
(A) Americium-Beryllium
(B) Radium-Beryllium
(C) Deuterium-Tritium
(D) Thorium-Beryllium
GATE 2016 Petroleum Engineering - PE
2/11
Q.7 Using the gamma ray log given in the figure, the shaliness index for point S is __________%.
Q.8 Identify the logging device that is based on the concept of longitudinal and transverse relaxation
times.
(A) Thermal neutron decay
(B) Induced gamma ray spectroscopy
(C) Neutron
(D) Nuclear Magnetic Resonance (NMR)
Q.9 The three main stages of evolution of organic matter in sediments are Catagenesis (C), Diagenesis
(D) and Metagenesis (M). Their chronological order is
(A) D - C - M (B) C - D - M
(C) D - M - C (D) C - M - D
Q.10 For a kick off operation, a directional well has to be drilled for an arc-length of 2500 ft to achieve
an inclination of 50 ?.
The radius of curvature will be ______ ft.
Q.11 Which of the following is the MOST COMMON cause for a fishing job?
(A) Differential sticking (B) Use of oil based mud
(C) Lost circulation (D) Well kick
GATE 2016 Petroleum Engineering - PE
3/11
Q.12 The figure shows the producing gas oil ratio (GOR) behaviour with time for an oil reservoir under
primary production. At initial reservoir condition, P
b
is the bubble point pressure of the crude oil.
P
R
(t) represents the reservoir pressure at time ?t?. Which of the following statements is TRUE?
(A) P
R
(t
1
) > P
b
, P
R
(t
2
) > P
b
(B) P
R
(t
1
) > P
b
, P
R
(t
2
) < P
b
(C) P
R
(t
1
) < P
b
, P
R
(t
2
) > P
b
(D) P
R
(t
1
) < P
b
, P
R
(t
2
) < P
b
Q.13 A core, with a length of 10 cm, breadth of 4 cm and width of 4 cm, weighs 282.4 g in its dry form.
The core is then saturated 100% with brine of density 1.1 g/cm
3
. The brine saturated core weighs
300 g.
The porosity of this core sample is ___________%.
Q.14 A hydraulic line of a subsurface safety valve has a fluid of specific gravity 1.2 to operate the valve.
The valve closing pressure is 1,200 psia and the recommended safety margin is 200 psia.
The maximum depth at which the valve can be positioned is____________ ft.
Q.15 A sucker rod pump unit is designated by C-228D-200-74. Here, ?D? represents
(A) double reduction gear box. (B) diameter of sucker rod.
(C) diameter of plunger. (D) stroke length.
Q.16 The three translational motions for a floating vessel are
(A) Roll-Pitch-Yaw. (B) Heave-Pitch-Sway.
(C) Surge-Sway-Heave. (D) Roll-Sway-Heave.
Q.17 Jack-up rigs are typically used for off-shore drilling when the water depth is in the range
(A) < 25 ft (B) 50 - 500 ft (C) 1000 - 2000 ft (D) > 2000 ft
GATE 2016 Petroleum Engineering - PE
4/11
Q.18 Interference tests can be used for
I. determining communication between two or more wells.
II. mature oil wells having skin damage.
III. determining permeability in tested wells.
IV. providing inputs for secondary and tertiary oil recovery methods
(A) only I and II (B) only I, II and IV (C) only II, III and IV (D) I, II, III and IV
Q.19 For an effective hydraulically-fractured well, the skin factor would GENERALLY be
(A) negative. (B) positive. (C) zero. (D) indeterminate.
Q.20 The maximum discharge limit of oil and grease in a marine coastal area as per Environmental
(protection) Rules, 1986 in India is
(A) 0.1 mg/L. (B) 20 mg/L. (C) 500 mg/L. (D) 4000 mg/L.
Q.21 Which of the following gases is NOT responsible for global warming?
(A) Carbon dioxide (B) Methane
(C) Water vapour (D) Nitrogen
Q.22 In an oil reservoir flooded with water, the volumetric sweep efficiency is 70%. The connate water
saturation in the reservoir is 0.4 and the residual oil saturation for the water flood is 0.3.
The overall efficiency of the reservoir is ____________ %.
Q.23 Identify the pair of CORRECT statements for surfactant-micellar-polymer flooding.
I. It reduces interfacial tension between crude oil and water.
II. It influences mobility ratio unfavorably.
III. It improves microscopic displacement efficiency.
IV. It increases isothermal compressibility of the crude oil.
(A) I & II (B) I & III
(C) III & IV (D) II & IV
GATE 2016 Petroleum Engineering - PE
5/11
Q.24 Gas hydrate forms at
(A) low pressure and low temperature conditions.
(B) low pressure and high temperature conditions.
(C) high pressure and low temperature conditions.
(D) high pressure and high temperature conditions.
Q.25 Production of coal bed methane (CBM) is based on
(A) distillation. (B) underground coal gasification.
(C) desorption. (D) coal liquefaction.
Q. 26 ? Q. 55 carry two marks each.
Q.26
The divergence of the velocity field
2
? ??
( ) ( 2) ( ) V x y i z xy j xy k = + +? +
?
at (1, 1, 1) is
_________.
Q.27 For a function f(x), the values of the function in the interval [0, 1] are given in the table below.
x f(x)
0.0 1.0
0.2 1.24
0.4 1.56
0.6 1.96
0.8 2.44
1.0 3.0
The value of the integral
1
0
() f x dx
?
according to the trapezoidal rule is ________.
Q.28 A box has a total of ten identical sized balls. Seven of these balls are black in colour and the rest
three are red. Three balls are picked from the box one after another without replacement.
The probability that two of the balls are black and one is red is equal to ______.
GATE 2016 Petroleum Engineering - PE
6/11
Q.29
Consider the matrix, M =
53
35
? ?
? ?
? ?
. The normalized eigen-vector corresponding to the smallest
eigen-value of the matrix M is
(A)
3
2
1
2
??
??
??
??
??
??
(B)
3
2
1
2
??
??
??
? ??
??
??
(C)
1
2
1
2
??
??
??
? ??
??
??
(D)
1
2
1
2
??
??
??
??
??
??
Q.30 For the differential equation
2
2
2
2 20
d y dy
x x y
dx dx
? +=
the general solution is
(A)
12
x
y C x Ce = +
(B)
12
sin cos y C xC x = +
(C)
12
xx
y Ce C e
?
= +
(D)
2
12
y Cx C x = +
Q.31 The porosities of cubic and hexagonal packings, respectively, are
(A) 47.6% and 25.9%. (B) 39.5% and 29.5%.
(C) 47.6% and 39.5%. (D) 39.5% and 25.9%.
Q.32 In sonic logging, the sonic velocities in the formation and drilling mud are 50,000 ft/s and 500 ft/s,
respectively.
The critical angle is ____ radians.
Q.33 A section of a clean sandstone reservoir was logged and found to have a porosity of 10%. The
cementation (m) and saturation (n) exponents are equal to 2. The constant ?a? in Archie?s saturation
equation is 1. The formation water resistivity is 0.036 ohm-meter and the formation resistivity is 10
ohm-meter.
The water saturation in the reservoir is______%.
GATE 2016 Petroleum Engineering - PE
7/11
Q.34 Match the entries in Group 1 with those in Group 2
Group 1 Group 2
P. Blow Out Preventer I. Horizontal well problem
Q. Diamond bit II. Reverse ballooning
R. Tubing elongation III. Well control
S. Eccentricity IV. Crown
V. Ballooning
(A) P-III, Q-IV, R-V, S-II (B) P-V, Q-IV, R-I, S-II
(C) P-III, Q-IV, R-II, S-I (D) P-IV, Q-III, R-V, S-I
Q.35 One thousand sacks of cement are required for cementing a protection casing of setting depth of
12,000 ft (top float collar) and annular capacity of 0.40 ft
3
per linear ft. The cementing truck has a
mixing capacity of 20 sacks per min. A 1.15 ft
3
/cycle capacity rig mud pump having an 18 inch
stroke and a
1
6
2
inch liner operating at 60 rpm with 90% efficiency is used for the cementing job.
The total cementing time is ______________ min.
Q.36 It is desired to increase the density of 200 bbl of 10 ppg mud to 12 ppg mud using API Barite of
density 35 ppg. The final volume is not limited.
[1 bbl = 42 gallons]
The amount of API Barite required is ________ lbm.
Q.37 Using the High Pressure High Temperature (HPHT) filter press data given below, the estimated
API filtration loss is _________ cm
3
.
Data given: Time (min) Filtrate volume (cm
3
)
1.0 6.5
7.5 14.0
Q.38 A Differential Liberation Experiment (DLE) and a Constant Composition Expansion (CCE)/Flash
liberation experiment were performed in a laboratory for a crude oil to find the formation volume
factor (B
o
) and the dissolved gas oil ratio (R
s
). The pressure stages for both experiments were kept
the same. At a pressure less than the bubble point pressure of the crude oil, which of the following
statements is TRUE?
(A) B
o
(CCE) > B
o
(DLE), R
s
(CCE) > R
s
(DLE)
(B) B
o
(CCE) > B
o
(DLE), R
s
(CCE) < R
s
(DLE)
(C) B
o
(CCE) < B
o
(DLE), R
s
(CCE) > R
s
(DLE)
(D) B
o
(CCE) < B
o
(DLE), R
s
(CCE) < R
s
(DLE)
FirstRanker.com - FirstRanker's Choice
GATE 2016 General Aptitude - GA Set-4
1/3
Q. 1 ? Q. 5 carry one mark each.
Q.1 An apple costs Rs. 10. An onion costs Rs. 8.
Select the most suitable sentence with respect to grammar and usage.
(A) The price of an apple is greater than an onion.
(B) The price of an apple is more than onion.
(C) The price of an apple is greater than that of an onion.
(D) Apples are more costlier than onions.
Q.2 The Buddha said, ?Holding on to anger is like grasping a hot coal with the intent of throwing it at
someone else; you are the one who gets burnt.?
Select the word below which is closest in meaning to the word underlined above.
(A) burning (B) igniting (C) clutching (D) flinging
Q.3 M has a son Q and a daughter R. He has no other children. E is the mother of P and daughter-in-
law of M. How is P related to M?
(A) P is the son-in-law of M. (B) P is the grandchild of M.
(C) P is the daughter-in law of M. (D) P is the grandfather of M.
Q.4 The number that least fits this set: (324, 441, 97 and 64) is ________.
(A) 324 (B) 441 (C) 97 (D) 64
Q.5 It takes 10 s and 15 s, respectively, for two trains travelling at different constant speeds to
completely pass a telegraph post. The length of the first train is 120 m and that of the second train is
150 m. The magnitude of the difference in the speeds of the two trains (in m/s) is ____________.
(A) 2.0 (B) 10.0 (C) 12.0 (D) 22.0
Q. 6 ? Q.
Q.6 The
resp
incr
(A)
Q.7 The
Hea
dog
Wh
(A)
(B)
(C)
(D)
Q.8 A f
enj
you
the
(A)
Q.9 Fin
(A)
GATE 2016
10 carry tw
e velocity V
pect to time
rease by (in
) 0
e overwhelm
alth Organiz
gs against rab
hich of the fo
) The numb
) The numb
) Rabies can
) Stray dogs
flat is shared
oy some ext
unger than Tr
flat?
) Manu
nd the area bo
) 14.95
wo marks
V of a vehicl
e in seconds
m)?
(B)
ming number
zation as a so
bies can lead
ollowing can
ber of people
er of people
n be eradicat
s are the mai
by four first
tra space in
rideep. Pava
(B)
ounded by th
(B)
each.
le along a st
. At the end
3
r of people in
ource of con
d to a signific
be logically
in India infe
in other part
ed in India b
n source of r
t year underg
the flat. Ma
an is one mon
Sravan
he lines 3x+2
15.25
traight line i
d of the 7 s
(C)
nfected with
ncern. It is es
cant reductio
y inferred from
ected with ra
ts of the wor
by vaccinatin
rabies worldw
graduate stud
anu is two m
nth older than
(C)
2y=14, 2x-3y
(C)
is measured
seconds, how
4
h rabies in In
stimated that
on in the num
m the above
abies is high.
ld who are in
ng 70% of str
wide.
dents. They a
months older
n Sravan. W
Trideep
y=5 in the fir
15.70
in m/s and
w much will
(D)
ndia has been
t inoculating
mber of peopl
sentences?
nfected with
ray dogs.
agreed to allo
r than Sravan
Who should oc
(D)
rst quadrant.
(D)
General Ap
plotted as s
l the odome
5
n flagged by
g 70% of pet
le infected w
rabies is low
ow the oldest
n, who is th
ccupy the ex
Pavan
20.35
ptitude - GA Set-4
2/3
shown with
eter reading
y the World
ts and stray
with rabies.
w.
t of them to
hree months
xtra space in
4
3
GATE 2016 General Aptitude - GA Set-4
3/3
Q.10 A straight line is fit to a data set (ln x, y). This line intercepts the abscissa at ln x = 0.1 and has a
slope of ?0.02. What is the value of y at x = 5 from the fit?
(A) ?0.030 (B) ?0.014 (C) 0.014 (D) 0.030
END OF THE QUESTION PAPER
GATE 2016 Petroleum Engineering - PE
1/11
Q. 1 ? Q. 25 carry one mark each.
Q.1
The value of
0
1
lim
sin
x
x
e
x ?
?? ?
??
??
is equal to______.
Q.2
The function
1
()
1
fx
x
=
+
is
(A) continuous and differentiable.
(B) continuous but not differentiable.
(C) not continuous but differentiable.
(D) not continuous and not differentiable.
Q.3
The value of the definite integral
1
(ln )
e
x dx
?
is equal to _____.
Q.4
For a complex number Z =
13
22
i
??
+
??
??
??
, the value of Z
6
is
(A)
13
22
i
??
?+
??
??
??
(B) ?1
(C)
13
22
i
? ?
?
? ?
? ?
? ?
(D) 1
Q.5
The Laplace transform of the function
2t
e
?
is
(A)
1
2s
(B)
2
s
(C)
1
2 s +
(D)
2s
e
?
Q.6 Which of the following is preferred fast neutron source in neutron logging?
(A) Americium-Beryllium
(B) Radium-Beryllium
(C) Deuterium-Tritium
(D) Thorium-Beryllium
GATE 2016 Petroleum Engineering - PE
2/11
Q.7 Using the gamma ray log given in the figure, the shaliness index for point S is __________%.
Q.8 Identify the logging device that is based on the concept of longitudinal and transverse relaxation
times.
(A) Thermal neutron decay
(B) Induced gamma ray spectroscopy
(C) Neutron
(D) Nuclear Magnetic Resonance (NMR)
Q.9 The three main stages of evolution of organic matter in sediments are Catagenesis (C), Diagenesis
(D) and Metagenesis (M). Their chronological order is
(A) D - C - M (B) C - D - M
(C) D - M - C (D) C - M - D
Q.10 For a kick off operation, a directional well has to be drilled for an arc-length of 2500 ft to achieve
an inclination of 50 ?.
The radius of curvature will be ______ ft.
Q.11 Which of the following is the MOST COMMON cause for a fishing job?
(A) Differential sticking (B) Use of oil based mud
(C) Lost circulation (D) Well kick
GATE 2016 Petroleum Engineering - PE
3/11
Q.12 The figure shows the producing gas oil ratio (GOR) behaviour with time for an oil reservoir under
primary production. At initial reservoir condition, P
b
is the bubble point pressure of the crude oil.
P
R
(t) represents the reservoir pressure at time ?t?. Which of the following statements is TRUE?
(A) P
R
(t
1
) > P
b
, P
R
(t
2
) > P
b
(B) P
R
(t
1
) > P
b
, P
R
(t
2
) < P
b
(C) P
R
(t
1
) < P
b
, P
R
(t
2
) > P
b
(D) P
R
(t
1
) < P
b
, P
R
(t
2
) < P
b
Q.13 A core, with a length of 10 cm, breadth of 4 cm and width of 4 cm, weighs 282.4 g in its dry form.
The core is then saturated 100% with brine of density 1.1 g/cm
3
. The brine saturated core weighs
300 g.
The porosity of this core sample is ___________%.
Q.14 A hydraulic line of a subsurface safety valve has a fluid of specific gravity 1.2 to operate the valve.
The valve closing pressure is 1,200 psia and the recommended safety margin is 200 psia.
The maximum depth at which the valve can be positioned is____________ ft.
Q.15 A sucker rod pump unit is designated by C-228D-200-74. Here, ?D? represents
(A) double reduction gear box. (B) diameter of sucker rod.
(C) diameter of plunger. (D) stroke length.
Q.16 The three translational motions for a floating vessel are
(A) Roll-Pitch-Yaw. (B) Heave-Pitch-Sway.
(C) Surge-Sway-Heave. (D) Roll-Sway-Heave.
Q.17 Jack-up rigs are typically used for off-shore drilling when the water depth is in the range
(A) < 25 ft (B) 50 - 500 ft (C) 1000 - 2000 ft (D) > 2000 ft
GATE 2016 Petroleum Engineering - PE
4/11
Q.18 Interference tests can be used for
I. determining communication between two or more wells.
II. mature oil wells having skin damage.
III. determining permeability in tested wells.
IV. providing inputs for secondary and tertiary oil recovery methods
(A) only I and II (B) only I, II and IV (C) only II, III and IV (D) I, II, III and IV
Q.19 For an effective hydraulically-fractured well, the skin factor would GENERALLY be
(A) negative. (B) positive. (C) zero. (D) indeterminate.
Q.20 The maximum discharge limit of oil and grease in a marine coastal area as per Environmental
(protection) Rules, 1986 in India is
(A) 0.1 mg/L. (B) 20 mg/L. (C) 500 mg/L. (D) 4000 mg/L.
Q.21 Which of the following gases is NOT responsible for global warming?
(A) Carbon dioxide (B) Methane
(C) Water vapour (D) Nitrogen
Q.22 In an oil reservoir flooded with water, the volumetric sweep efficiency is 70%. The connate water
saturation in the reservoir is 0.4 and the residual oil saturation for the water flood is 0.3.
The overall efficiency of the reservoir is ____________ %.
Q.23 Identify the pair of CORRECT statements for surfactant-micellar-polymer flooding.
I. It reduces interfacial tension between crude oil and water.
II. It influences mobility ratio unfavorably.
III. It improves microscopic displacement efficiency.
IV. It increases isothermal compressibility of the crude oil.
(A) I & II (B) I & III
(C) III & IV (D) II & IV
GATE 2016 Petroleum Engineering - PE
5/11
Q.24 Gas hydrate forms at
(A) low pressure and low temperature conditions.
(B) low pressure and high temperature conditions.
(C) high pressure and low temperature conditions.
(D) high pressure and high temperature conditions.
Q.25 Production of coal bed methane (CBM) is based on
(A) distillation. (B) underground coal gasification.
(C) desorption. (D) coal liquefaction.
Q. 26 ? Q. 55 carry two marks each.
Q.26
The divergence of the velocity field
2
? ??
( ) ( 2) ( ) V x y i z xy j xy k = + +? +
?
at (1, 1, 1) is
_________.
Q.27 For a function f(x), the values of the function in the interval [0, 1] are given in the table below.
x f(x)
0.0 1.0
0.2 1.24
0.4 1.56
0.6 1.96
0.8 2.44
1.0 3.0
The value of the integral
1
0
() f x dx
?
according to the trapezoidal rule is ________.
Q.28 A box has a total of ten identical sized balls. Seven of these balls are black in colour and the rest
three are red. Three balls are picked from the box one after another without replacement.
The probability that two of the balls are black and one is red is equal to ______.
GATE 2016 Petroleum Engineering - PE
6/11
Q.29
Consider the matrix, M =
53
35
? ?
? ?
? ?
. The normalized eigen-vector corresponding to the smallest
eigen-value of the matrix M is
(A)
3
2
1
2
??
??
??
??
??
??
(B)
3
2
1
2
??
??
??
? ??
??
??
(C)
1
2
1
2
??
??
??
? ??
??
??
(D)
1
2
1
2
??
??
??
??
??
??
Q.30 For the differential equation
2
2
2
2 20
d y dy
x x y
dx dx
? +=
the general solution is
(A)
12
x
y C x Ce = +
(B)
12
sin cos y C xC x = +
(C)
12
xx
y Ce C e
?
= +
(D)
2
12
y Cx C x = +
Q.31 The porosities of cubic and hexagonal packings, respectively, are
(A) 47.6% and 25.9%. (B) 39.5% and 29.5%.
(C) 47.6% and 39.5%. (D) 39.5% and 25.9%.
Q.32 In sonic logging, the sonic velocities in the formation and drilling mud are 50,000 ft/s and 500 ft/s,
respectively.
The critical angle is ____ radians.
Q.33 A section of a clean sandstone reservoir was logged and found to have a porosity of 10%. The
cementation (m) and saturation (n) exponents are equal to 2. The constant ?a? in Archie?s saturation
equation is 1. The formation water resistivity is 0.036 ohm-meter and the formation resistivity is 10
ohm-meter.
The water saturation in the reservoir is______%.
GATE 2016 Petroleum Engineering - PE
7/11
Q.34 Match the entries in Group 1 with those in Group 2
Group 1 Group 2
P. Blow Out Preventer I. Horizontal well problem
Q. Diamond bit II. Reverse ballooning
R. Tubing elongation III. Well control
S. Eccentricity IV. Crown
V. Ballooning
(A) P-III, Q-IV, R-V, S-II (B) P-V, Q-IV, R-I, S-II
(C) P-III, Q-IV, R-II, S-I (D) P-IV, Q-III, R-V, S-I
Q.35 One thousand sacks of cement are required for cementing a protection casing of setting depth of
12,000 ft (top float collar) and annular capacity of 0.40 ft
3
per linear ft. The cementing truck has a
mixing capacity of 20 sacks per min. A 1.15 ft
3
/cycle capacity rig mud pump having an 18 inch
stroke and a
1
6
2
inch liner operating at 60 rpm with 90% efficiency is used for the cementing job.
The total cementing time is ______________ min.
Q.36 It is desired to increase the density of 200 bbl of 10 ppg mud to 12 ppg mud using API Barite of
density 35 ppg. The final volume is not limited.
[1 bbl = 42 gallons]
The amount of API Barite required is ________ lbm.
Q.37 Using the High Pressure High Temperature (HPHT) filter press data given below, the estimated
API filtration loss is _________ cm
3
.
Data given: Time (min) Filtrate volume (cm
3
)
1.0 6.5
7.5 14.0
Q.38 A Differential Liberation Experiment (DLE) and a Constant Composition Expansion (CCE)/Flash
liberation experiment were performed in a laboratory for a crude oil to find the formation volume
factor (B
o
) and the dissolved gas oil ratio (R
s
). The pressure stages for both experiments were kept
the same. At a pressure less than the bubble point pressure of the crude oil, which of the following
statements is TRUE?
(A) B
o
(CCE) > B
o
(DLE), R
s
(CCE) > R
s
(DLE)
(B) B
o
(CCE) > B
o
(DLE), R
s
(CCE) < R
s
(DLE)
(C) B
o
(CCE) < B
o
(DLE), R
s
(CCE) > R
s
(DLE)
(D) B
o
(CCE) < B
o
(DLE), R
s
(CCE) < R
s
(DLE)
GATE 2016 Petroleum Engineering - PE
8/11
Q.39 The production of a gas well was found to decline exponentially. The observed production rate on
1
st
January, 2014 was 0.6?10
10
SCF/month and on 1
st
January, 2015, it was 0.4?10
10
SCF/month.
The economic production limit for the well is estimated to be 0.002?10
10
SCF/month.
The remaining reserves for the well as on 1
st
January, 2015 were ______ ? 10
10
SCF.
Q.40 A 30 ft thick gas reservoir has an area of 3,000 acres (1 acre = 43,560 ft
2
). The porosity of the
reservoir is 15% and the connate water saturation is 20%. Initial reservoir pressure and temperature
are 2,600 psig and 150?F (= 610 ?R), respectively. The compressibility factor (Z) at initial
conditions is 0.82. The gas in the reservoir can be produced till it attains the final pressure of
1,000 psig (Z = 0.88) under isothermal conditions.
The gas recovery factor is ______ %.
Q.41 Brine is used to measure the absolute permeability of a core plug. The rock sample is 4 cm long and
its cross-sectional area is 4 cm
2
. The brine has a viscosity of 2 cp and is flowing at a constant rate of
0.5 cm
3
/s under a 4 atm pressure differential.
The absolute permeability is _________________ Darcy.
Q.42 An oil well is drilled to cover a circular drainage area of radius 700 ft. The well is completed with a
7 inch production casing. Assume reservoir pressure of 1000 psig, permeability of 50 md, pay zone
thickness of 20 ft, oil viscosity of 3 cp and oil formation volume factor of 1.25 reservoir-bbl/STB.
For a flowing bottom-hole pressure of 500 psig, the primary production rate is _______ STB/day.
Q.43 An Electric Submersible Pump (ESP) is installed at a depth of 1000 ft from the surface. The ESP
gives 20 ft water head per stage. The wellhead requires 100 psi pressure.
Minimum number of stages of the ESP required for this well is _____.
Q.44 The schematic figure shows a two-phase horizontal separator designed for an oil and water system.
The oil specific gravity is 0.8. The oil pad height is h
o
.
The vertical distance between the oil and the water weirs (?h) at steady state is
(A) 0.2 h
o
(B) 0.8 h
o
(C) 1.0 h
o
(D) 1.2 h
o
FirstRanker.com - FirstRanker's Choice
GATE 2016 General Aptitude - GA Set-4
1/3
Q. 1 ? Q. 5 carry one mark each.
Q.1 An apple costs Rs. 10. An onion costs Rs. 8.
Select the most suitable sentence with respect to grammar and usage.
(A) The price of an apple is greater than an onion.
(B) The price of an apple is more than onion.
(C) The price of an apple is greater than that of an onion.
(D) Apples are more costlier than onions.
Q.2 The Buddha said, ?Holding on to anger is like grasping a hot coal with the intent of throwing it at
someone else; you are the one who gets burnt.?
Select the word below which is closest in meaning to the word underlined above.
(A) burning (B) igniting (C) clutching (D) flinging
Q.3 M has a son Q and a daughter R. He has no other children. E is the mother of P and daughter-in-
law of M. How is P related to M?
(A) P is the son-in-law of M. (B) P is the grandchild of M.
(C) P is the daughter-in law of M. (D) P is the grandfather of M.
Q.4 The number that least fits this set: (324, 441, 97 and 64) is ________.
(A) 324 (B) 441 (C) 97 (D) 64
Q.5 It takes 10 s and 15 s, respectively, for two trains travelling at different constant speeds to
completely pass a telegraph post. The length of the first train is 120 m and that of the second train is
150 m. The magnitude of the difference in the speeds of the two trains (in m/s) is ____________.
(A) 2.0 (B) 10.0 (C) 12.0 (D) 22.0
Q. 6 ? Q.
Q.6 The
resp
incr
(A)
Q.7 The
Hea
dog
Wh
(A)
(B)
(C)
(D)
Q.8 A f
enj
you
the
(A)
Q.9 Fin
(A)
GATE 2016
10 carry tw
e velocity V
pect to time
rease by (in
) 0
e overwhelm
alth Organiz
gs against rab
hich of the fo
) The numb
) The numb
) Rabies can
) Stray dogs
flat is shared
oy some ext
unger than Tr
flat?
) Manu
nd the area bo
) 14.95
wo marks
V of a vehicl
e in seconds
m)?
(B)
ming number
zation as a so
bies can lead
ollowing can
ber of people
er of people
n be eradicat
s are the mai
by four first
tra space in
rideep. Pava
(B)
ounded by th
(B)
each.
le along a st
. At the end
3
r of people in
ource of con
d to a signific
be logically
in India infe
in other part
ed in India b
n source of r
t year underg
the flat. Ma
an is one mon
Sravan
he lines 3x+2
15.25
traight line i
d of the 7 s
(C)
nfected with
ncern. It is es
cant reductio
y inferred from
ected with ra
ts of the wor
by vaccinatin
rabies worldw
graduate stud
anu is two m
nth older than
(C)
2y=14, 2x-3y
(C)
is measured
seconds, how
4
h rabies in In
stimated that
on in the num
m the above
abies is high.
ld who are in
ng 70% of str
wide.
dents. They a
months older
n Sravan. W
Trideep
y=5 in the fir
15.70
in m/s and
w much will
(D)
ndia has been
t inoculating
mber of peopl
sentences?
nfected with
ray dogs.
agreed to allo
r than Sravan
Who should oc
(D)
rst quadrant.
(D)
General Ap
plotted as s
l the odome
5
n flagged by
g 70% of pet
le infected w
rabies is low
ow the oldest
n, who is th
ccupy the ex
Pavan
20.35
ptitude - GA Set-4
2/3
shown with
eter reading
y the World
ts and stray
with rabies.
w.
t of them to
hree months
xtra space in
4
3
GATE 2016 General Aptitude - GA Set-4
3/3
Q.10 A straight line is fit to a data set (ln x, y). This line intercepts the abscissa at ln x = 0.1 and has a
slope of ?0.02. What is the value of y at x = 5 from the fit?
(A) ?0.030 (B) ?0.014 (C) 0.014 (D) 0.030
END OF THE QUESTION PAPER
GATE 2016 Petroleum Engineering - PE
1/11
Q. 1 ? Q. 25 carry one mark each.
Q.1
The value of
0
1
lim
sin
x
x
e
x ?
?? ?
??
??
is equal to______.
Q.2
The function
1
()
1
fx
x
=
+
is
(A) continuous and differentiable.
(B) continuous but not differentiable.
(C) not continuous but differentiable.
(D) not continuous and not differentiable.
Q.3
The value of the definite integral
1
(ln )
e
x dx
?
is equal to _____.
Q.4
For a complex number Z =
13
22
i
??
+
??
??
??
, the value of Z
6
is
(A)
13
22
i
??
?+
??
??
??
(B) ?1
(C)
13
22
i
? ?
?
? ?
? ?
? ?
(D) 1
Q.5
The Laplace transform of the function
2t
e
?
is
(A)
1
2s
(B)
2
s
(C)
1
2 s +
(D)
2s
e
?
Q.6 Which of the following is preferred fast neutron source in neutron logging?
(A) Americium-Beryllium
(B) Radium-Beryllium
(C) Deuterium-Tritium
(D) Thorium-Beryllium
GATE 2016 Petroleum Engineering - PE
2/11
Q.7 Using the gamma ray log given in the figure, the shaliness index for point S is __________%.
Q.8 Identify the logging device that is based on the concept of longitudinal and transverse relaxation
times.
(A) Thermal neutron decay
(B) Induced gamma ray spectroscopy
(C) Neutron
(D) Nuclear Magnetic Resonance (NMR)
Q.9 The three main stages of evolution of organic matter in sediments are Catagenesis (C), Diagenesis
(D) and Metagenesis (M). Their chronological order is
(A) D - C - M (B) C - D - M
(C) D - M - C (D) C - M - D
Q.10 For a kick off operation, a directional well has to be drilled for an arc-length of 2500 ft to achieve
an inclination of 50 ?.
The radius of curvature will be ______ ft.
Q.11 Which of the following is the MOST COMMON cause for a fishing job?
(A) Differential sticking (B) Use of oil based mud
(C) Lost circulation (D) Well kick
GATE 2016 Petroleum Engineering - PE
3/11
Q.12 The figure shows the producing gas oil ratio (GOR) behaviour with time for an oil reservoir under
primary production. At initial reservoir condition, P
b
is the bubble point pressure of the crude oil.
P
R
(t) represents the reservoir pressure at time ?t?. Which of the following statements is TRUE?
(A) P
R
(t
1
) > P
b
, P
R
(t
2
) > P
b
(B) P
R
(t
1
) > P
b
, P
R
(t
2
) < P
b
(C) P
R
(t
1
) < P
b
, P
R
(t
2
) > P
b
(D) P
R
(t
1
) < P
b
, P
R
(t
2
) < P
b
Q.13 A core, with a length of 10 cm, breadth of 4 cm and width of 4 cm, weighs 282.4 g in its dry form.
The core is then saturated 100% with brine of density 1.1 g/cm
3
. The brine saturated core weighs
300 g.
The porosity of this core sample is ___________%.
Q.14 A hydraulic line of a subsurface safety valve has a fluid of specific gravity 1.2 to operate the valve.
The valve closing pressure is 1,200 psia and the recommended safety margin is 200 psia.
The maximum depth at which the valve can be positioned is____________ ft.
Q.15 A sucker rod pump unit is designated by C-228D-200-74. Here, ?D? represents
(A) double reduction gear box. (B) diameter of sucker rod.
(C) diameter of plunger. (D) stroke length.
Q.16 The three translational motions for a floating vessel are
(A) Roll-Pitch-Yaw. (B) Heave-Pitch-Sway.
(C) Surge-Sway-Heave. (D) Roll-Sway-Heave.
Q.17 Jack-up rigs are typically used for off-shore drilling when the water depth is in the range
(A) < 25 ft (B) 50 - 500 ft (C) 1000 - 2000 ft (D) > 2000 ft
GATE 2016 Petroleum Engineering - PE
4/11
Q.18 Interference tests can be used for
I. determining communication between two or more wells.
II. mature oil wells having skin damage.
III. determining permeability in tested wells.
IV. providing inputs for secondary and tertiary oil recovery methods
(A) only I and II (B) only I, II and IV (C) only II, III and IV (D) I, II, III and IV
Q.19 For an effective hydraulically-fractured well, the skin factor would GENERALLY be
(A) negative. (B) positive. (C) zero. (D) indeterminate.
Q.20 The maximum discharge limit of oil and grease in a marine coastal area as per Environmental
(protection) Rules, 1986 in India is
(A) 0.1 mg/L. (B) 20 mg/L. (C) 500 mg/L. (D) 4000 mg/L.
Q.21 Which of the following gases is NOT responsible for global warming?
(A) Carbon dioxide (B) Methane
(C) Water vapour (D) Nitrogen
Q.22 In an oil reservoir flooded with water, the volumetric sweep efficiency is 70%. The connate water
saturation in the reservoir is 0.4 and the residual oil saturation for the water flood is 0.3.
The overall efficiency of the reservoir is ____________ %.
Q.23 Identify the pair of CORRECT statements for surfactant-micellar-polymer flooding.
I. It reduces interfacial tension between crude oil and water.
II. It influences mobility ratio unfavorably.
III. It improves microscopic displacement efficiency.
IV. It increases isothermal compressibility of the crude oil.
(A) I & II (B) I & III
(C) III & IV (D) II & IV
GATE 2016 Petroleum Engineering - PE
5/11
Q.24 Gas hydrate forms at
(A) low pressure and low temperature conditions.
(B) low pressure and high temperature conditions.
(C) high pressure and low temperature conditions.
(D) high pressure and high temperature conditions.
Q.25 Production of coal bed methane (CBM) is based on
(A) distillation. (B) underground coal gasification.
(C) desorption. (D) coal liquefaction.
Q. 26 ? Q. 55 carry two marks each.
Q.26
The divergence of the velocity field
2
? ??
( ) ( 2) ( ) V x y i z xy j xy k = + +? +
?
at (1, 1, 1) is
_________.
Q.27 For a function f(x), the values of the function in the interval [0, 1] are given in the table below.
x f(x)
0.0 1.0
0.2 1.24
0.4 1.56
0.6 1.96
0.8 2.44
1.0 3.0
The value of the integral
1
0
() f x dx
?
according to the trapezoidal rule is ________.
Q.28 A box has a total of ten identical sized balls. Seven of these balls are black in colour and the rest
three are red. Three balls are picked from the box one after another without replacement.
The probability that two of the balls are black and one is red is equal to ______.
GATE 2016 Petroleum Engineering - PE
6/11
Q.29
Consider the matrix, M =
53
35
? ?
? ?
? ?
. The normalized eigen-vector corresponding to the smallest
eigen-value of the matrix M is
(A)
3
2
1
2
??
??
??
??
??
??
(B)
3
2
1
2
??
??
??
? ??
??
??
(C)
1
2
1
2
??
??
??
? ??
??
??
(D)
1
2
1
2
??
??
??
??
??
??
Q.30 For the differential equation
2
2
2
2 20
d y dy
x x y
dx dx
? +=
the general solution is
(A)
12
x
y C x Ce = +
(B)
12
sin cos y C xC x = +
(C)
12
xx
y Ce C e
?
= +
(D)
2
12
y Cx C x = +
Q.31 The porosities of cubic and hexagonal packings, respectively, are
(A) 47.6% and 25.9%. (B) 39.5% and 29.5%.
(C) 47.6% and 39.5%. (D) 39.5% and 25.9%.
Q.32 In sonic logging, the sonic velocities in the formation and drilling mud are 50,000 ft/s and 500 ft/s,
respectively.
The critical angle is ____ radians.
Q.33 A section of a clean sandstone reservoir was logged and found to have a porosity of 10%. The
cementation (m) and saturation (n) exponents are equal to 2. The constant ?a? in Archie?s saturation
equation is 1. The formation water resistivity is 0.036 ohm-meter and the formation resistivity is 10
ohm-meter.
The water saturation in the reservoir is______%.
GATE 2016 Petroleum Engineering - PE
7/11
Q.34 Match the entries in Group 1 with those in Group 2
Group 1 Group 2
P. Blow Out Preventer I. Horizontal well problem
Q. Diamond bit II. Reverse ballooning
R. Tubing elongation III. Well control
S. Eccentricity IV. Crown
V. Ballooning
(A) P-III, Q-IV, R-V, S-II (B) P-V, Q-IV, R-I, S-II
(C) P-III, Q-IV, R-II, S-I (D) P-IV, Q-III, R-V, S-I
Q.35 One thousand sacks of cement are required for cementing a protection casing of setting depth of
12,000 ft (top float collar) and annular capacity of 0.40 ft
3
per linear ft. The cementing truck has a
mixing capacity of 20 sacks per min. A 1.15 ft
3
/cycle capacity rig mud pump having an 18 inch
stroke and a
1
6
2
inch liner operating at 60 rpm with 90% efficiency is used for the cementing job.
The total cementing time is ______________ min.
Q.36 It is desired to increase the density of 200 bbl of 10 ppg mud to 12 ppg mud using API Barite of
density 35 ppg. The final volume is not limited.
[1 bbl = 42 gallons]
The amount of API Barite required is ________ lbm.
Q.37 Using the High Pressure High Temperature (HPHT) filter press data given below, the estimated
API filtration loss is _________ cm
3
.
Data given: Time (min) Filtrate volume (cm
3
)
1.0 6.5
7.5 14.0
Q.38 A Differential Liberation Experiment (DLE) and a Constant Composition Expansion (CCE)/Flash
liberation experiment were performed in a laboratory for a crude oil to find the formation volume
factor (B
o
) and the dissolved gas oil ratio (R
s
). The pressure stages for both experiments were kept
the same. At a pressure less than the bubble point pressure of the crude oil, which of the following
statements is TRUE?
(A) B
o
(CCE) > B
o
(DLE), R
s
(CCE) > R
s
(DLE)
(B) B
o
(CCE) > B
o
(DLE), R
s
(CCE) < R
s
(DLE)
(C) B
o
(CCE) < B
o
(DLE), R
s
(CCE) > R
s
(DLE)
(D) B
o
(CCE) < B
o
(DLE), R
s
(CCE) < R
s
(DLE)
GATE 2016 Petroleum Engineering - PE
8/11
Q.39 The production of a gas well was found to decline exponentially. The observed production rate on
1
st
January, 2014 was 0.6?10
10
SCF/month and on 1
st
January, 2015, it was 0.4?10
10
SCF/month.
The economic production limit for the well is estimated to be 0.002?10
10
SCF/month.
The remaining reserves for the well as on 1
st
January, 2015 were ______ ? 10
10
SCF.
Q.40 A 30 ft thick gas reservoir has an area of 3,000 acres (1 acre = 43,560 ft
2
). The porosity of the
reservoir is 15% and the connate water saturation is 20%. Initial reservoir pressure and temperature
are 2,600 psig and 150?F (= 610 ?R), respectively. The compressibility factor (Z) at initial
conditions is 0.82. The gas in the reservoir can be produced till it attains the final pressure of
1,000 psig (Z = 0.88) under isothermal conditions.
The gas recovery factor is ______ %.
Q.41 Brine is used to measure the absolute permeability of a core plug. The rock sample is 4 cm long and
its cross-sectional area is 4 cm
2
. The brine has a viscosity of 2 cp and is flowing at a constant rate of
0.5 cm
3
/s under a 4 atm pressure differential.
The absolute permeability is _________________ Darcy.
Q.42 An oil well is drilled to cover a circular drainage area of radius 700 ft. The well is completed with a
7 inch production casing. Assume reservoir pressure of 1000 psig, permeability of 50 md, pay zone
thickness of 20 ft, oil viscosity of 3 cp and oil formation volume factor of 1.25 reservoir-bbl/STB.
For a flowing bottom-hole pressure of 500 psig, the primary production rate is _______ STB/day.
Q.43 An Electric Submersible Pump (ESP) is installed at a depth of 1000 ft from the surface. The ESP
gives 20 ft water head per stage. The wellhead requires 100 psi pressure.
Minimum number of stages of the ESP required for this well is _____.
Q.44 The schematic figure shows a two-phase horizontal separator designed for an oil and water system.
The oil specific gravity is 0.8. The oil pad height is h
o
.
The vertical distance between the oil and the water weirs (?h) at steady state is
(A) 0.2 h
o
(B) 0.8 h
o
(C) 1.0 h
o
(D) 1.2 h
o
GATE 2016 Petroleum Engineering - PE
9/11
Q.45 The vertical lift performance (VLP) and the inflow performance relationship (IPR) curves are used
to find the production operating conditions. If P
wf
is the flowing bottom-hole pressure and Q is the
oil flow rate, select the CORRECT statement.
(A) Point 3 is absolute open flow, Curve 1 is VLP curve.
(B) Point 2 is at reservoir pressure, Curve 2 is VLP curve.
(C) Point 1 is operating condition, Curve 2 is IPR curve.
(D) Point 2 is absolute open flow, Curve 1 is IPR curve.
Q.46 A ground station has a pump, which delivers a head of 1,000 m water. It is pumping oil of specific
gravity 0.8 into a horizontal pipe of diameter 0.5 m with an average velocity of 2 m/s. The
efficiency of the pump is 80%. Density of water is 1,000 kg/m
3
and acceleration due to gravity is
9.8 m/s
2
.
The power required to operate the pump is _______________ Mega Watts.
Q.47 For a floating vessel, match the CORRECT pairs from Group 1 and Group 2 among the options
given below. (B = Centre of buoyancy; G = Centre of gravity and M = Metacentre)
Group 1 Group 2
P. M is above G I. Stable equilibrium condition
Q. M is below G II. Critically stable condition
R. M is coinciding with G III. Unstable condition
S. B is below G
(A) P-II, Q-III, R-I and S-II (B) P-I, Q-III, R-II and S-I
(C) P-III, Q-I, R-II and S-III (D) P-I, Q-II, R-III and S-I
FirstRanker.com - FirstRanker's Choice
GATE 2016 General Aptitude - GA Set-4
1/3
Q. 1 ? Q. 5 carry one mark each.
Q.1 An apple costs Rs. 10. An onion costs Rs. 8.
Select the most suitable sentence with respect to grammar and usage.
(A) The price of an apple is greater than an onion.
(B) The price of an apple is more than onion.
(C) The price of an apple is greater than that of an onion.
(D) Apples are more costlier than onions.
Q.2 The Buddha said, ?Holding on to anger is like grasping a hot coal with the intent of throwing it at
someone else; you are the one who gets burnt.?
Select the word below which is closest in meaning to the word underlined above.
(A) burning (B) igniting (C) clutching (D) flinging
Q.3 M has a son Q and a daughter R. He has no other children. E is the mother of P and daughter-in-
law of M. How is P related to M?
(A) P is the son-in-law of M. (B) P is the grandchild of M.
(C) P is the daughter-in law of M. (D) P is the grandfather of M.
Q.4 The number that least fits this set: (324, 441, 97 and 64) is ________.
(A) 324 (B) 441 (C) 97 (D) 64
Q.5 It takes 10 s and 15 s, respectively, for two trains travelling at different constant speeds to
completely pass a telegraph post. The length of the first train is 120 m and that of the second train is
150 m. The magnitude of the difference in the speeds of the two trains (in m/s) is ____________.
(A) 2.0 (B) 10.0 (C) 12.0 (D) 22.0
Q. 6 ? Q.
Q.6 The
resp
incr
(A)
Q.7 The
Hea
dog
Wh
(A)
(B)
(C)
(D)
Q.8 A f
enj
you
the
(A)
Q.9 Fin
(A)
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rease by (in
) 0
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hich of the fo
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unger than Tr
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15.25
traight line i
d of the 7 s
(C)
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ncern. It is es
cant reductio
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nth older than
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ptitude - GA Set-4
2/3
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xtra space in
4
3
GATE 2016 General Aptitude - GA Set-4
3/3
Q.10 A straight line is fit to a data set (ln x, y). This line intercepts the abscissa at ln x = 0.1 and has a
slope of ?0.02. What is the value of y at x = 5 from the fit?
(A) ?0.030 (B) ?0.014 (C) 0.014 (D) 0.030
END OF THE QUESTION PAPER
GATE 2016 Petroleum Engineering - PE
1/11
Q. 1 ? Q. 25 carry one mark each.
Q.1
The value of
0
1
lim
sin
x
x
e
x ?
?? ?
??
??
is equal to______.
Q.2
The function
1
()
1
fx
x
=
+
is
(A) continuous and differentiable.
(B) continuous but not differentiable.
(C) not continuous but differentiable.
(D) not continuous and not differentiable.
Q.3
The value of the definite integral
1
(ln )
e
x dx
?
is equal to _____.
Q.4
For a complex number Z =
13
22
i
??
+
??
??
??
, the value of Z
6
is
(A)
13
22
i
??
?+
??
??
??
(B) ?1
(C)
13
22
i
? ?
?
? ?
? ?
? ?
(D) 1
Q.5
The Laplace transform of the function
2t
e
?
is
(A)
1
2s
(B)
2
s
(C)
1
2 s +
(D)
2s
e
?
Q.6 Which of the following is preferred fast neutron source in neutron logging?
(A) Americium-Beryllium
(B) Radium-Beryllium
(C) Deuterium-Tritium
(D) Thorium-Beryllium
GATE 2016 Petroleum Engineering - PE
2/11
Q.7 Using the gamma ray log given in the figure, the shaliness index for point S is __________%.
Q.8 Identify the logging device that is based on the concept of longitudinal and transverse relaxation
times.
(A) Thermal neutron decay
(B) Induced gamma ray spectroscopy
(C) Neutron
(D) Nuclear Magnetic Resonance (NMR)
Q.9 The three main stages of evolution of organic matter in sediments are Catagenesis (C), Diagenesis
(D) and Metagenesis (M). Their chronological order is
(A) D - C - M (B) C - D - M
(C) D - M - C (D) C - M - D
Q.10 For a kick off operation, a directional well has to be drilled for an arc-length of 2500 ft to achieve
an inclination of 50 ?.
The radius of curvature will be ______ ft.
Q.11 Which of the following is the MOST COMMON cause for a fishing job?
(A) Differential sticking (B) Use of oil based mud
(C) Lost circulation (D) Well kick
GATE 2016 Petroleum Engineering - PE
3/11
Q.12 The figure shows the producing gas oil ratio (GOR) behaviour with time for an oil reservoir under
primary production. At initial reservoir condition, P
b
is the bubble point pressure of the crude oil.
P
R
(t) represents the reservoir pressure at time ?t?. Which of the following statements is TRUE?
(A) P
R
(t
1
) > P
b
, P
R
(t
2
) > P
b
(B) P
R
(t
1
) > P
b
, P
R
(t
2
) < P
b
(C) P
R
(t
1
) < P
b
, P
R
(t
2
) > P
b
(D) P
R
(t
1
) < P
b
, P
R
(t
2
) < P
b
Q.13 A core, with a length of 10 cm, breadth of 4 cm and width of 4 cm, weighs 282.4 g in its dry form.
The core is then saturated 100% with brine of density 1.1 g/cm
3
. The brine saturated core weighs
300 g.
The porosity of this core sample is ___________%.
Q.14 A hydraulic line of a subsurface safety valve has a fluid of specific gravity 1.2 to operate the valve.
The valve closing pressure is 1,200 psia and the recommended safety margin is 200 psia.
The maximum depth at which the valve can be positioned is____________ ft.
Q.15 A sucker rod pump unit is designated by C-228D-200-74. Here, ?D? represents
(A) double reduction gear box. (B) diameter of sucker rod.
(C) diameter of plunger. (D) stroke length.
Q.16 The three translational motions for a floating vessel are
(A) Roll-Pitch-Yaw. (B) Heave-Pitch-Sway.
(C) Surge-Sway-Heave. (D) Roll-Sway-Heave.
Q.17 Jack-up rigs are typically used for off-shore drilling when the water depth is in the range
(A) < 25 ft (B) 50 - 500 ft (C) 1000 - 2000 ft (D) > 2000 ft
GATE 2016 Petroleum Engineering - PE
4/11
Q.18 Interference tests can be used for
I. determining communication between two or more wells.
II. mature oil wells having skin damage.
III. determining permeability in tested wells.
IV. providing inputs for secondary and tertiary oil recovery methods
(A) only I and II (B) only I, II and IV (C) only II, III and IV (D) I, II, III and IV
Q.19 For an effective hydraulically-fractured well, the skin factor would GENERALLY be
(A) negative. (B) positive. (C) zero. (D) indeterminate.
Q.20 The maximum discharge limit of oil and grease in a marine coastal area as per Environmental
(protection) Rules, 1986 in India is
(A) 0.1 mg/L. (B) 20 mg/L. (C) 500 mg/L. (D) 4000 mg/L.
Q.21 Which of the following gases is NOT responsible for global warming?
(A) Carbon dioxide (B) Methane
(C) Water vapour (D) Nitrogen
Q.22 In an oil reservoir flooded with water, the volumetric sweep efficiency is 70%. The connate water
saturation in the reservoir is 0.4 and the residual oil saturation for the water flood is 0.3.
The overall efficiency of the reservoir is ____________ %.
Q.23 Identify the pair of CORRECT statements for surfactant-micellar-polymer flooding.
I. It reduces interfacial tension between crude oil and water.
II. It influences mobility ratio unfavorably.
III. It improves microscopic displacement efficiency.
IV. It increases isothermal compressibility of the crude oil.
(A) I & II (B) I & III
(C) III & IV (D) II & IV
GATE 2016 Petroleum Engineering - PE
5/11
Q.24 Gas hydrate forms at
(A) low pressure and low temperature conditions.
(B) low pressure and high temperature conditions.
(C) high pressure and low temperature conditions.
(D) high pressure and high temperature conditions.
Q.25 Production of coal bed methane (CBM) is based on
(A) distillation. (B) underground coal gasification.
(C) desorption. (D) coal liquefaction.
Q. 26 ? Q. 55 carry two marks each.
Q.26
The divergence of the velocity field
2
? ??
( ) ( 2) ( ) V x y i z xy j xy k = + +? +
?
at (1, 1, 1) is
_________.
Q.27 For a function f(x), the values of the function in the interval [0, 1] are given in the table below.
x f(x)
0.0 1.0
0.2 1.24
0.4 1.56
0.6 1.96
0.8 2.44
1.0 3.0
The value of the integral
1
0
() f x dx
?
according to the trapezoidal rule is ________.
Q.28 A box has a total of ten identical sized balls. Seven of these balls are black in colour and the rest
three are red. Three balls are picked from the box one after another without replacement.
The probability that two of the balls are black and one is red is equal to ______.
GATE 2016 Petroleum Engineering - PE
6/11
Q.29
Consider the matrix, M =
53
35
? ?
? ?
? ?
. The normalized eigen-vector corresponding to the smallest
eigen-value of the matrix M is
(A)
3
2
1
2
??
??
??
??
??
??
(B)
3
2
1
2
??
??
??
? ??
??
??
(C)
1
2
1
2
??
??
??
? ??
??
??
(D)
1
2
1
2
??
??
??
??
??
??
Q.30 For the differential equation
2
2
2
2 20
d y dy
x x y
dx dx
? +=
the general solution is
(A)
12
x
y C x Ce = +
(B)
12
sin cos y C xC x = +
(C)
12
xx
y Ce C e
?
= +
(D)
2
12
y Cx C x = +
Q.31 The porosities of cubic and hexagonal packings, respectively, are
(A) 47.6% and 25.9%. (B) 39.5% and 29.5%.
(C) 47.6% and 39.5%. (D) 39.5% and 25.9%.
Q.32 In sonic logging, the sonic velocities in the formation and drilling mud are 50,000 ft/s and 500 ft/s,
respectively.
The critical angle is ____ radians.
Q.33 A section of a clean sandstone reservoir was logged and found to have a porosity of 10%. The
cementation (m) and saturation (n) exponents are equal to 2. The constant ?a? in Archie?s saturation
equation is 1. The formation water resistivity is 0.036 ohm-meter and the formation resistivity is 10
ohm-meter.
The water saturation in the reservoir is______%.
GATE 2016 Petroleum Engineering - PE
7/11
Q.34 Match the entries in Group 1 with those in Group 2
Group 1 Group 2
P. Blow Out Preventer I. Horizontal well problem
Q. Diamond bit II. Reverse ballooning
R. Tubing elongation III. Well control
S. Eccentricity IV. Crown
V. Ballooning
(A) P-III, Q-IV, R-V, S-II (B) P-V, Q-IV, R-I, S-II
(C) P-III, Q-IV, R-II, S-I (D) P-IV, Q-III, R-V, S-I
Q.35 One thousand sacks of cement are required for cementing a protection casing of setting depth of
12,000 ft (top float collar) and annular capacity of 0.40 ft
3
per linear ft. The cementing truck has a
mixing capacity of 20 sacks per min. A 1.15 ft
3
/cycle capacity rig mud pump having an 18 inch
stroke and a
1
6
2
inch liner operating at 60 rpm with 90% efficiency is used for the cementing job.
The total cementing time is ______________ min.
Q.36 It is desired to increase the density of 200 bbl of 10 ppg mud to 12 ppg mud using API Barite of
density 35 ppg. The final volume is not limited.
[1 bbl = 42 gallons]
The amount of API Barite required is ________ lbm.
Q.37 Using the High Pressure High Temperature (HPHT) filter press data given below, the estimated
API filtration loss is _________ cm
3
.
Data given: Time (min) Filtrate volume (cm
3
)
1.0 6.5
7.5 14.0
Q.38 A Differential Liberation Experiment (DLE) and a Constant Composition Expansion (CCE)/Flash
liberation experiment were performed in a laboratory for a crude oil to find the formation volume
factor (B
o
) and the dissolved gas oil ratio (R
s
). The pressure stages for both experiments were kept
the same. At a pressure less than the bubble point pressure of the crude oil, which of the following
statements is TRUE?
(A) B
o
(CCE) > B
o
(DLE), R
s
(CCE) > R
s
(DLE)
(B) B
o
(CCE) > B
o
(DLE), R
s
(CCE) < R
s
(DLE)
(C) B
o
(CCE) < B
o
(DLE), R
s
(CCE) > R
s
(DLE)
(D) B
o
(CCE) < B
o
(DLE), R
s
(CCE) < R
s
(DLE)
GATE 2016 Petroleum Engineering - PE
8/11
Q.39 The production of a gas well was found to decline exponentially. The observed production rate on
1
st
January, 2014 was 0.6?10
10
SCF/month and on 1
st
January, 2015, it was 0.4?10
10
SCF/month.
The economic production limit for the well is estimated to be 0.002?10
10
SCF/month.
The remaining reserves for the well as on 1
st
January, 2015 were ______ ? 10
10
SCF.
Q.40 A 30 ft thick gas reservoir has an area of 3,000 acres (1 acre = 43,560 ft
2
). The porosity of the
reservoir is 15% and the connate water saturation is 20%. Initial reservoir pressure and temperature
are 2,600 psig and 150?F (= 610 ?R), respectively. The compressibility factor (Z) at initial
conditions is 0.82. The gas in the reservoir can be produced till it attains the final pressure of
1,000 psig (Z = 0.88) under isothermal conditions.
The gas recovery factor is ______ %.
Q.41 Brine is used to measure the absolute permeability of a core plug. The rock sample is 4 cm long and
its cross-sectional area is 4 cm
2
. The brine has a viscosity of 2 cp and is flowing at a constant rate of
0.5 cm
3
/s under a 4 atm pressure differential.
The absolute permeability is _________________ Darcy.
Q.42 An oil well is drilled to cover a circular drainage area of radius 700 ft. The well is completed with a
7 inch production casing. Assume reservoir pressure of 1000 psig, permeability of 50 md, pay zone
thickness of 20 ft, oil viscosity of 3 cp and oil formation volume factor of 1.25 reservoir-bbl/STB.
For a flowing bottom-hole pressure of 500 psig, the primary production rate is _______ STB/day.
Q.43 An Electric Submersible Pump (ESP) is installed at a depth of 1000 ft from the surface. The ESP
gives 20 ft water head per stage. The wellhead requires 100 psi pressure.
Minimum number of stages of the ESP required for this well is _____.
Q.44 The schematic figure shows a two-phase horizontal separator designed for an oil and water system.
The oil specific gravity is 0.8. The oil pad height is h
o
.
The vertical distance between the oil and the water weirs (?h) at steady state is
(A) 0.2 h
o
(B) 0.8 h
o
(C) 1.0 h
o
(D) 1.2 h
o
GATE 2016 Petroleum Engineering - PE
9/11
Q.45 The vertical lift performance (VLP) and the inflow performance relationship (IPR) curves are used
to find the production operating conditions. If P
wf
is the flowing bottom-hole pressure and Q is the
oil flow rate, select the CORRECT statement.
(A) Point 3 is absolute open flow, Curve 1 is VLP curve.
(B) Point 2 is at reservoir pressure, Curve 2 is VLP curve.
(C) Point 1 is operating condition, Curve 2 is IPR curve.
(D) Point 2 is absolute open flow, Curve 1 is IPR curve.
Q.46 A ground station has a pump, which delivers a head of 1,000 m water. It is pumping oil of specific
gravity 0.8 into a horizontal pipe of diameter 0.5 m with an average velocity of 2 m/s. The
efficiency of the pump is 80%. Density of water is 1,000 kg/m
3
and acceleration due to gravity is
9.8 m/s
2
.
The power required to operate the pump is _______________ Mega Watts.
Q.47 For a floating vessel, match the CORRECT pairs from Group 1 and Group 2 among the options
given below. (B = Centre of buoyancy; G = Centre of gravity and M = Metacentre)
Group 1 Group 2
P. M is above G I. Stable equilibrium condition
Q. M is below G II. Critically stable condition
R. M is coinciding with G III. Unstable condition
S. B is below G
(A) P-II, Q-III, R-I and S-II (B) P-I, Q-III, R-II and S-I
(C) P-III, Q-I, R-II and S-III (D) P-I, Q-II, R-III and S-I
GATE 2016 Petroleum Engineering - PE
10/11
Q.48 Match the following
Group 1 Group 2
P. Master valve I. Drill stem testing tool
Q. Breather valve II. Heater-treater
R. Tester valve III. Christmas tree
S. Dump valve IV. Positive displacement motor
V. Storage tank
(A) P-III, Q-V, R-II and S-I (B) P-III, Q-V, R-I and S-IV
(C) P-II, Q-III, R-I and S-V (D) P-I, Q-III, R-II and S-IV
Q.49
A 50 ft thick reservoir has a porosity ( ?) of 20% and a total isothermal compressibility ( C
t
) of
2.4?10
-5
psi
-1
. The oil in the reservoir has a viscosity 0.75 cp and formation volume factor of
1.25 reservoir-bbl/STB. A pressure build-up test is carried out on a well of radius 0.50 ft in the
reservoir which was producing at 500 STB/day for 500 hours. The flowing bottom-hole pressure at
the start of build-up test (?t = 0) was found to be 3,535 psia. The schematic of the pressure build-up
data is shown in the figure.
The skin factor is ____________________.
Q.50 During a production test in an oil reservoir, the oil production rate is 200 STB/day. The producing
gas oil ratio (GOR) is 800 SCF/STB and dissolved GOR is 200 SCF/STB. The formation volume
factor of gas is 0.01 ft
3
/SCF and the formation volume factor of oil is 1.2 reservoir-bbl/STB.
The down-hole GOR is __________ ft
3
/reservoir-bbl.
FirstRanker.com - FirstRanker's Choice
GATE 2016 General Aptitude - GA Set-4
1/3
Q. 1 ? Q. 5 carry one mark each.
Q.1 An apple costs Rs. 10. An onion costs Rs. 8.
Select the most suitable sentence with respect to grammar and usage.
(A) The price of an apple is greater than an onion.
(B) The price of an apple is more than onion.
(C) The price of an apple is greater than that of an onion.
(D) Apples are more costlier than onions.
Q.2 The Buddha said, ?Holding on to anger is like grasping a hot coal with the intent of throwing it at
someone else; you are the one who gets burnt.?
Select the word below which is closest in meaning to the word underlined above.
(A) burning (B) igniting (C) clutching (D) flinging
Q.3 M has a son Q and a daughter R. He has no other children. E is the mother of P and daughter-in-
law of M. How is P related to M?
(A) P is the son-in-law of M. (B) P is the grandchild of M.
(C) P is the daughter-in law of M. (D) P is the grandfather of M.
Q.4 The number that least fits this set: (324, 441, 97 and 64) is ________.
(A) 324 (B) 441 (C) 97 (D) 64
Q.5 It takes 10 s and 15 s, respectively, for two trains travelling at different constant speeds to
completely pass a telegraph post. The length of the first train is 120 m and that of the second train is
150 m. The magnitude of the difference in the speeds of the two trains (in m/s) is ____________.
(A) 2.0 (B) 10.0 (C) 12.0 (D) 22.0
Q. 6 ? Q.
Q.6 The
resp
incr
(A)
Q.7 The
Hea
dog
Wh
(A)
(B)
(C)
(D)
Q.8 A f
enj
you
the
(A)
Q.9 Fin
(A)
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10 carry tw
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pect to time
rease by (in
) 0
e overwhelm
alth Organiz
gs against rab
hich of the fo
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) The numb
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oy some ext
unger than Tr
flat?
) Manu
nd the area bo
) 14.95
wo marks
V of a vehicl
e in seconds
m)?
(B)
ming number
zation as a so
bies can lead
ollowing can
ber of people
er of people
n be eradicat
s are the mai
by four first
tra space in
rideep. Pava
(B)
ounded by th
(B)
each.
le along a st
. At the end
3
r of people in
ource of con
d to a signific
be logically
in India infe
in other part
ed in India b
n source of r
t year underg
the flat. Ma
an is one mon
Sravan
he lines 3x+2
15.25
traight line i
d of the 7 s
(C)
nfected with
ncern. It is es
cant reductio
y inferred from
ected with ra
ts of the wor
by vaccinatin
rabies worldw
graduate stud
anu is two m
nth older than
(C)
2y=14, 2x-3y
(C)
is measured
seconds, how
4
h rabies in In
stimated that
on in the num
m the above
abies is high.
ld who are in
ng 70% of str
wide.
dents. They a
months older
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(D)
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nfected with
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20.35
ptitude - GA Set-4
2/3
shown with
eter reading
y the World
ts and stray
with rabies.
w.
t of them to
hree months
xtra space in
4
3
GATE 2016 General Aptitude - GA Set-4
3/3
Q.10 A straight line is fit to a data set (ln x, y). This line intercepts the abscissa at ln x = 0.1 and has a
slope of ?0.02. What is the value of y at x = 5 from the fit?
(A) ?0.030 (B) ?0.014 (C) 0.014 (D) 0.030
END OF THE QUESTION PAPER
GATE 2016 Petroleum Engineering - PE
1/11
Q. 1 ? Q. 25 carry one mark each.
Q.1
The value of
0
1
lim
sin
x
x
e
x ?
?? ?
??
??
is equal to______.
Q.2
The function
1
()
1
fx
x
=
+
is
(A) continuous and differentiable.
(B) continuous but not differentiable.
(C) not continuous but differentiable.
(D) not continuous and not differentiable.
Q.3
The value of the definite integral
1
(ln )
e
x dx
?
is equal to _____.
Q.4
For a complex number Z =
13
22
i
??
+
??
??
??
, the value of Z
6
is
(A)
13
22
i
??
?+
??
??
??
(B) ?1
(C)
13
22
i
? ?
?
? ?
? ?
? ?
(D) 1
Q.5
The Laplace transform of the function
2t
e
?
is
(A)
1
2s
(B)
2
s
(C)
1
2 s +
(D)
2s
e
?
Q.6 Which of the following is preferred fast neutron source in neutron logging?
(A) Americium-Beryllium
(B) Radium-Beryllium
(C) Deuterium-Tritium
(D) Thorium-Beryllium
GATE 2016 Petroleum Engineering - PE
2/11
Q.7 Using the gamma ray log given in the figure, the shaliness index for point S is __________%.
Q.8 Identify the logging device that is based on the concept of longitudinal and transverse relaxation
times.
(A) Thermal neutron decay
(B) Induced gamma ray spectroscopy
(C) Neutron
(D) Nuclear Magnetic Resonance (NMR)
Q.9 The three main stages of evolution of organic matter in sediments are Catagenesis (C), Diagenesis
(D) and Metagenesis (M). Their chronological order is
(A) D - C - M (B) C - D - M
(C) D - M - C (D) C - M - D
Q.10 For a kick off operation, a directional well has to be drilled for an arc-length of 2500 ft to achieve
an inclination of 50 ?.
The radius of curvature will be ______ ft.
Q.11 Which of the following is the MOST COMMON cause for a fishing job?
(A) Differential sticking (B) Use of oil based mud
(C) Lost circulation (D) Well kick
GATE 2016 Petroleum Engineering - PE
3/11
Q.12 The figure shows the producing gas oil ratio (GOR) behaviour with time for an oil reservoir under
primary production. At initial reservoir condition, P
b
is the bubble point pressure of the crude oil.
P
R
(t) represents the reservoir pressure at time ?t?. Which of the following statements is TRUE?
(A) P
R
(t
1
) > P
b
, P
R
(t
2
) > P
b
(B) P
R
(t
1
) > P
b
, P
R
(t
2
) < P
b
(C) P
R
(t
1
) < P
b
, P
R
(t
2
) > P
b
(D) P
R
(t
1
) < P
b
, P
R
(t
2
) < P
b
Q.13 A core, with a length of 10 cm, breadth of 4 cm and width of 4 cm, weighs 282.4 g in its dry form.
The core is then saturated 100% with brine of density 1.1 g/cm
3
. The brine saturated core weighs
300 g.
The porosity of this core sample is ___________%.
Q.14 A hydraulic line of a subsurface safety valve has a fluid of specific gravity 1.2 to operate the valve.
The valve closing pressure is 1,200 psia and the recommended safety margin is 200 psia.
The maximum depth at which the valve can be positioned is____________ ft.
Q.15 A sucker rod pump unit is designated by C-228D-200-74. Here, ?D? represents
(A) double reduction gear box. (B) diameter of sucker rod.
(C) diameter of plunger. (D) stroke length.
Q.16 The three translational motions for a floating vessel are
(A) Roll-Pitch-Yaw. (B) Heave-Pitch-Sway.
(C) Surge-Sway-Heave. (D) Roll-Sway-Heave.
Q.17 Jack-up rigs are typically used for off-shore drilling when the water depth is in the range
(A) < 25 ft (B) 50 - 500 ft (C) 1000 - 2000 ft (D) > 2000 ft
GATE 2016 Petroleum Engineering - PE
4/11
Q.18 Interference tests can be used for
I. determining communication between two or more wells.
II. mature oil wells having skin damage.
III. determining permeability in tested wells.
IV. providing inputs for secondary and tertiary oil recovery methods
(A) only I and II (B) only I, II and IV (C) only II, III and IV (D) I, II, III and IV
Q.19 For an effective hydraulically-fractured well, the skin factor would GENERALLY be
(A) negative. (B) positive. (C) zero. (D) indeterminate.
Q.20 The maximum discharge limit of oil and grease in a marine coastal area as per Environmental
(protection) Rules, 1986 in India is
(A) 0.1 mg/L. (B) 20 mg/L. (C) 500 mg/L. (D) 4000 mg/L.
Q.21 Which of the following gases is NOT responsible for global warming?
(A) Carbon dioxide (B) Methane
(C) Water vapour (D) Nitrogen
Q.22 In an oil reservoir flooded with water, the volumetric sweep efficiency is 70%. The connate water
saturation in the reservoir is 0.4 and the residual oil saturation for the water flood is 0.3.
The overall efficiency of the reservoir is ____________ %.
Q.23 Identify the pair of CORRECT statements for surfactant-micellar-polymer flooding.
I. It reduces interfacial tension between crude oil and water.
II. It influences mobility ratio unfavorably.
III. It improves microscopic displacement efficiency.
IV. It increases isothermal compressibility of the crude oil.
(A) I & II (B) I & III
(C) III & IV (D) II & IV
GATE 2016 Petroleum Engineering - PE
5/11
Q.24 Gas hydrate forms at
(A) low pressure and low temperature conditions.
(B) low pressure and high temperature conditions.
(C) high pressure and low temperature conditions.
(D) high pressure and high temperature conditions.
Q.25 Production of coal bed methane (CBM) is based on
(A) distillation. (B) underground coal gasification.
(C) desorption. (D) coal liquefaction.
Q. 26 ? Q. 55 carry two marks each.
Q.26
The divergence of the velocity field
2
? ??
( ) ( 2) ( ) V x y i z xy j xy k = + +? +
?
at (1, 1, 1) is
_________.
Q.27 For a function f(x), the values of the function in the interval [0, 1] are given in the table below.
x f(x)
0.0 1.0
0.2 1.24
0.4 1.56
0.6 1.96
0.8 2.44
1.0 3.0
The value of the integral
1
0
() f x dx
?
according to the trapezoidal rule is ________.
Q.28 A box has a total of ten identical sized balls. Seven of these balls are black in colour and the rest
three are red. Three balls are picked from the box one after another without replacement.
The probability that two of the balls are black and one is red is equal to ______.
GATE 2016 Petroleum Engineering - PE
6/11
Q.29
Consider the matrix, M =
53
35
? ?
? ?
? ?
. The normalized eigen-vector corresponding to the smallest
eigen-value of the matrix M is
(A)
3
2
1
2
??
??
??
??
??
??
(B)
3
2
1
2
??
??
??
? ??
??
??
(C)
1
2
1
2
??
??
??
? ??
??
??
(D)
1
2
1
2
??
??
??
??
??
??
Q.30 For the differential equation
2
2
2
2 20
d y dy
x x y
dx dx
? +=
the general solution is
(A)
12
x
y C x Ce = +
(B)
12
sin cos y C xC x = +
(C)
12
xx
y Ce C e
?
= +
(D)
2
12
y Cx C x = +
Q.31 The porosities of cubic and hexagonal packings, respectively, are
(A) 47.6% and 25.9%. (B) 39.5% and 29.5%.
(C) 47.6% and 39.5%. (D) 39.5% and 25.9%.
Q.32 In sonic logging, the sonic velocities in the formation and drilling mud are 50,000 ft/s and 500 ft/s,
respectively.
The critical angle is ____ radians.
Q.33 A section of a clean sandstone reservoir was logged and found to have a porosity of 10%. The
cementation (m) and saturation (n) exponents are equal to 2. The constant ?a? in Archie?s saturation
equation is 1. The formation water resistivity is 0.036 ohm-meter and the formation resistivity is 10
ohm-meter.
The water saturation in the reservoir is______%.
GATE 2016 Petroleum Engineering - PE
7/11
Q.34 Match the entries in Group 1 with those in Group 2
Group 1 Group 2
P. Blow Out Preventer I. Horizontal well problem
Q. Diamond bit II. Reverse ballooning
R. Tubing elongation III. Well control
S. Eccentricity IV. Crown
V. Ballooning
(A) P-III, Q-IV, R-V, S-II (B) P-V, Q-IV, R-I, S-II
(C) P-III, Q-IV, R-II, S-I (D) P-IV, Q-III, R-V, S-I
Q.35 One thousand sacks of cement are required for cementing a protection casing of setting depth of
12,000 ft (top float collar) and annular capacity of 0.40 ft
3
per linear ft. The cementing truck has a
mixing capacity of 20 sacks per min. A 1.15 ft
3
/cycle capacity rig mud pump having an 18 inch
stroke and a
1
6
2
inch liner operating at 60 rpm with 90% efficiency is used for the cementing job.
The total cementing time is ______________ min.
Q.36 It is desired to increase the density of 200 bbl of 10 ppg mud to 12 ppg mud using API Barite of
density 35 ppg. The final volume is not limited.
[1 bbl = 42 gallons]
The amount of API Barite required is ________ lbm.
Q.37 Using the High Pressure High Temperature (HPHT) filter press data given below, the estimated
API filtration loss is _________ cm
3
.
Data given: Time (min) Filtrate volume (cm
3
)
1.0 6.5
7.5 14.0
Q.38 A Differential Liberation Experiment (DLE) and a Constant Composition Expansion (CCE)/Flash
liberation experiment were performed in a laboratory for a crude oil to find the formation volume
factor (B
o
) and the dissolved gas oil ratio (R
s
). The pressure stages for both experiments were kept
the same. At a pressure less than the bubble point pressure of the crude oil, which of the following
statements is TRUE?
(A) B
o
(CCE) > B
o
(DLE), R
s
(CCE) > R
s
(DLE)
(B) B
o
(CCE) > B
o
(DLE), R
s
(CCE) < R
s
(DLE)
(C) B
o
(CCE) < B
o
(DLE), R
s
(CCE) > R
s
(DLE)
(D) B
o
(CCE) < B
o
(DLE), R
s
(CCE) < R
s
(DLE)
GATE 2016 Petroleum Engineering - PE
8/11
Q.39 The production of a gas well was found to decline exponentially. The observed production rate on
1
st
January, 2014 was 0.6?10
10
SCF/month and on 1
st
January, 2015, it was 0.4?10
10
SCF/month.
The economic production limit for the well is estimated to be 0.002?10
10
SCF/month.
The remaining reserves for the well as on 1
st
January, 2015 were ______ ? 10
10
SCF.
Q.40 A 30 ft thick gas reservoir has an area of 3,000 acres (1 acre = 43,560 ft
2
). The porosity of the
reservoir is 15% and the connate water saturation is 20%. Initial reservoir pressure and temperature
are 2,600 psig and 150?F (= 610 ?R), respectively. The compressibility factor (Z) at initial
conditions is 0.82. The gas in the reservoir can be produced till it attains the final pressure of
1,000 psig (Z = 0.88) under isothermal conditions.
The gas recovery factor is ______ %.
Q.41 Brine is used to measure the absolute permeability of a core plug. The rock sample is 4 cm long and
its cross-sectional area is 4 cm
2
. The brine has a viscosity of 2 cp and is flowing at a constant rate of
0.5 cm
3
/s under a 4 atm pressure differential.
The absolute permeability is _________________ Darcy.
Q.42 An oil well is drilled to cover a circular drainage area of radius 700 ft. The well is completed with a
7 inch production casing. Assume reservoir pressure of 1000 psig, permeability of 50 md, pay zone
thickness of 20 ft, oil viscosity of 3 cp and oil formation volume factor of 1.25 reservoir-bbl/STB.
For a flowing bottom-hole pressure of 500 psig, the primary production rate is _______ STB/day.
Q.43 An Electric Submersible Pump (ESP) is installed at a depth of 1000 ft from the surface. The ESP
gives 20 ft water head per stage. The wellhead requires 100 psi pressure.
Minimum number of stages of the ESP required for this well is _____.
Q.44 The schematic figure shows a two-phase horizontal separator designed for an oil and water system.
The oil specific gravity is 0.8. The oil pad height is h
o
.
The vertical distance between the oil and the water weirs (?h) at steady state is
(A) 0.2 h
o
(B) 0.8 h
o
(C) 1.0 h
o
(D) 1.2 h
o
GATE 2016 Petroleum Engineering - PE
9/11
Q.45 The vertical lift performance (VLP) and the inflow performance relationship (IPR) curves are used
to find the production operating conditions. If P
wf
is the flowing bottom-hole pressure and Q is the
oil flow rate, select the CORRECT statement.
(A) Point 3 is absolute open flow, Curve 1 is VLP curve.
(B) Point 2 is at reservoir pressure, Curve 2 is VLP curve.
(C) Point 1 is operating condition, Curve 2 is IPR curve.
(D) Point 2 is absolute open flow, Curve 1 is IPR curve.
Q.46 A ground station has a pump, which delivers a head of 1,000 m water. It is pumping oil of specific
gravity 0.8 into a horizontal pipe of diameter 0.5 m with an average velocity of 2 m/s. The
efficiency of the pump is 80%. Density of water is 1,000 kg/m
3
and acceleration due to gravity is
9.8 m/s
2
.
The power required to operate the pump is _______________ Mega Watts.
Q.47 For a floating vessel, match the CORRECT pairs from Group 1 and Group 2 among the options
given below. (B = Centre of buoyancy; G = Centre of gravity and M = Metacentre)
Group 1 Group 2
P. M is above G I. Stable equilibrium condition
Q. M is below G II. Critically stable condition
R. M is coinciding with G III. Unstable condition
S. B is below G
(A) P-II, Q-III, R-I and S-II (B) P-I, Q-III, R-II and S-I
(C) P-III, Q-I, R-II and S-III (D) P-I, Q-II, R-III and S-I
GATE 2016 Petroleum Engineering - PE
10/11
Q.48 Match the following
Group 1 Group 2
P. Master valve I. Drill stem testing tool
Q. Breather valve II. Heater-treater
R. Tester valve III. Christmas tree
S. Dump valve IV. Positive displacement motor
V. Storage tank
(A) P-III, Q-V, R-II and S-I (B) P-III, Q-V, R-I and S-IV
(C) P-II, Q-III, R-I and S-V (D) P-I, Q-III, R-II and S-IV
Q.49
A 50 ft thick reservoir has a porosity ( ?) of 20% and a total isothermal compressibility ( C
t
) of
2.4?10
-5
psi
-1
. The oil in the reservoir has a viscosity 0.75 cp and formation volume factor of
1.25 reservoir-bbl/STB. A pressure build-up test is carried out on a well of radius 0.50 ft in the
reservoir which was producing at 500 STB/day for 500 hours. The flowing bottom-hole pressure at
the start of build-up test (?t = 0) was found to be 3,535 psia. The schematic of the pressure build-up
data is shown in the figure.
The skin factor is ____________________.
Q.50 During a production test in an oil reservoir, the oil production rate is 200 STB/day. The producing
gas oil ratio (GOR) is 800 SCF/STB and dissolved GOR is 200 SCF/STB. The formation volume
factor of gas is 0.01 ft
3
/SCF and the formation volume factor of oil is 1.2 reservoir-bbl/STB.
The down-hole GOR is __________ ft
3
/reservoir-bbl.
GATE 2016 Petroleum Engineering - PE
11/11
Q.51 A productivity test was conducted on a single-phase crude oil well. The well is capable of
producing 100 STB/day at a flowing bottom-hole pressure of 1000 psig. The 24-hour shut-in static
pressure is found to be 1500 psig.
The maximum oil flow rate (Q
max
) is_______ STB/day.
Q.52 An oil well of wellbore radius 0.5 ft is shown to develop a skin due to formation damage. The
damaged zone radius is 2.25 ft around the well. The formation permeability is 300 md and the
permeability of the damaged zone is 100 md.
The effective well bore radius for this well is___________ft.
Q.53 A producing well has a shut-in tubing pressure of 3,950 psig for crude oil of specific gravity 0.69.
[1 g/cm
3
= 8.33 ppg]
The kill fluid density for a workover job at 11,600 ft (TVD) is ___________ ppg.
Q.54 For a water-flood operation in a one-dimensional reservoir, the following data are given.
Porosity, ? = 0.25; Cross-sectional area, A = 25,000 ft
2
; Horizontal distance between the vertical
production and injection well = 600 ft; Water injection rate, i
w
= 900 bbl/day; Slope of fractional
flow curve at shock front water saturation = 1.97; Water formation volume factor = 1.0 bbl/STB.
[ 1 bbl = 5.615 ft
3
]
The cumulative water volume injected at breakthrough is __________ ? 10
5
bbl.
Q.55 A heavy oil reservoir is being flooded with a line drive (assume one-dimensional flooding). The
fractional flow of water is found to be 0.75 bbl/bbl at water saturation (S
W
) of 60%. A polymer
solution with twice the viscosity of water is used as displacing phase. Assume the relative
permeability curves for water flooding and polymer flooding are the same.
The fractional flow of polymer solution at a saturation of 60% is _________bbl/bbl.
END OF THE QUESTION PAPER
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This post was last modified on 18 December 2019