Petroleum Engineering (PE) 2016 GATE Paper with solution GATE Notes | EduRev

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GATE : Petroleum Engineering (PE) 2016 GATE Paper with solution GATE Notes | EduRev

 Page 1


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 
 
 
Page 2


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
Page 3


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 
Page 4


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 
 
Page 5


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 
 
 
 
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