Firstranker's choice
GATE 2016
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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.
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(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."
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Select the word below which is closest in meaning to the word underlined above.
(A) burning
(B) igniting
(C) clutching
(D) flinging
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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.
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(D) P is the grandfather of M.
Q.4
The number that least fits this set: (324, 441 and 64) is
(A) 324
(B) 441
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(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
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(B) 10.0
(C) 12.0
(D) 22.0
Q. 6 – Q. 10 carry two marks each.
Q.6
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The velocity V of a vehicle along a straight line is measured in m/s and plotted as shown with respect to time in seconds. At the end of the 7 seconds, how much will the odometer reading increase by (in m)?
Q. 1 – Q. 25 carry one mark each.Q.1
The value of limx?0 sin x / x is equal to __________.
Q.2
The function f(x) = 1 / (1+ |x|) is
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(A) continuous and differentiable.
(B) continuous but not differentiable.
(C) not continuous but differentiable.
(D) not continuous and not differentiable.
Q.3
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The value of the definite integral ?1e (ln x) dx is equal to __________.
Q.4
For a complex number Z = (v3 / 2) - i (1 / 2) the value of Z6 is
(A) -(v3 / 2) + i(1 / 2)
(B) -1
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(C) 1
(D) 1 + i
Q.5
The Laplace transform of the function e-2t is
(A) 1 / 2s
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(B) e-2s / s
(C) 1 / (s+2)
(D) e-2s
Q.6
Which of the following is preferred fast neutron source in neutron logging?
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(A) Americium-Beryllium
(B) Radium-Beryllium
(C) Deuterium-Tritium
(D) Thorium-Beryllium
Q.7
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Using the gamma ray log given in the figure, the shaliness index for point S is __________ %.
Q.8Identify the logging device that is based on the concept of longitudinal and transverse relaxation
times.
(A) Thermal neutron decay
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(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
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(A) D - C - M
(B) C - D - M
(C) D - M - ?
(D) C - M - D
Q.10
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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
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(B) Use of oil based mud
(C) Lost circulation
(D) Well kick
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? is the bubble point pressure of the crude oil. PR(t) represents the reservoir pressure at time ‘t'. Which of the following statements is TRUE?
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(A) PR(t1) > Pb, PR(t2) > Pb(B) PR(t1) > Pb, PR(t2) < Pb
(C) PR(t1) < Pb, PR(t2) > Pb
(D) PR(t1) < Pb, PR(t2) 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/cm³. The brine saturated core weighs 300 g. The porosity of this core sample is __________ %. --- Content provided by FirstRanker.com --- 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 is __________ ft. Q.15 A sucker rod pump unit is designated by C-228D-200-74. Here, 'D' represents --- Content provided by FirstRanker.com --- (A) double reduction gear box. (B) diameter of sucker rod. (C) diameter of plunger. (D) stroke length. Q.16 --- Content provided by FirstRanker.com --- 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. --- Content provided by FirstRanker.com --- 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 --- Content provided by FirstRanker.com --- (D) > 2000 ft 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 --- Content provided by FirstRanker.com --- For an effective hydraulically-fractured well, the skin factor would GENERALLY be (A) negative. (B) positive. (C) zero. (D) indeterminate. --- Content provided by FirstRanker.com --- 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. --- Content provided by FirstRanker.com --- (D) 4000 mg/L. Q.21 Which of the following gases is NOT responsible for global warming? (A) Carbon dioxide (B) Methane --- Content provided by FirstRanker.com --- (C) Water vapour (D) Nitrogen Q.22 In an oil reservoir flooded with water, the 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 __________ %. --- Content provided by FirstRanker.com --- 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 --- Content provided by FirstRanker.com --- (D) II & IV Q.24 Gas hydrate forms at (A) low pressure and low temperature conditions. (B) low pressure and high temperature conditions. --- Content provided by FirstRanker.com --- (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. --- Content provided by FirstRanker.com --- (B) underground coal gasification. (C) desorption. (D) coal liquefaction. Q. 26 – Q. 55 carry two marks each. Q.26 --- Content provided by FirstRanker.com --- The divergence of the velocity field V = (x² + y) i +(z-2xy) 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. The value of the integral ?01 f(x)dx according to the trapezoidal rule is __________. Q.28 --- Content provided by FirstRanker.com --- 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 __________.
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
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