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.
(B) The price of an apple is more than onion.
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(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
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(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.
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(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 and 64) is
(A) 324
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(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
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(B) 10.0
(C) 12.0
(D) 22.0
Q. 6 – Q. 10 carry two marks each.
Q.6 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)?
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(B) 3
(C) 4
(D) 5
Q.7 The overwhelming number of people infected with rabies in India has been flagged by the World Health Organization as a source of concern. It is estimated that inoculating 70% of pets and stray dogs against rabies can lead to a significant reduction in the number of people infected with rabies.
Which of the following can be logically inferred from the above sentences?
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(A) The number of people in India infected with rabies is high.
(B) The number of people in other parts of the world who are infected with rabies is low.
(C) Rabies can be eradicated in India by vaccinating 70% of stray dogs.
(D) Stray dogs are the main source of rabies worldwide.
Q.8 A flat is shared by four first year undergraduate students. They agreed to allow the oldest of them to enjoy some extra space in the flat. Manu is two months older than Sravan, who is three months younger than Trideep. Pavan is one month older than Sravan. Who should occupy the extra space in the flat?
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(A) Manu
(B) Sravan
(C) Trideep
(D) Pavan
Q.9 Find the area bounded by the lines 3x+2y=14, 2x-3y=5 in the first quadrant.
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(A) 14.95
(B) 15.25
(C) 15.70
(D) 20.35
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?
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(A) -0.030
(B) -0.014
(C) 0.014
(D) 0.030
END OF THE QUESTION PAPER
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Firstranker's choice
GATE 2016
Q. 1 – Q. 25 carry one mark each.
Q.1 A straight line of the form y = mx + c passes through the origin and the point (x, y) = (2, 6). The value of m is
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Q.2 limvn²+n-vn²+1) is
n?8
Q.3 A voltage V1 is measured 100 times and its average and standard deviation are 100 V and 1.5 V respectively. A second voltage V2, which is independent of V1, is measured 200 times and its average and standard deviation are 150 V and 2 V respectively. V3 is computed as: V3 = V1 + V2. Then the standard deviation of V3 in volt is
Q.4 The vector that is NOT perpendicular to the vectors (i + j + k) and (i + 2j + 3k) is
(A) (i -2j + k)
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(B) (-i + 2j-k)
(C) (0i + 0j + 0k)
(D) (4i +3 j + 5k)
Q.5 In the neighborhood of z = 1, the function f(z) has a power series expansion of the form f(z) = 1 + (1 - z) + (1 - z)² + ... Then f(z) is
(A) 1/z
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(B) -1/(z-1)
(C) (z-2)/(z+1)
(D) 1/(2z-1)
Q.6 Three currents i1, i2 and i3 meet at a node as shown in the figure below. If i1 = 3 cos(?t) ampere, i2 = 4 sin(?t) ampere and i3 = I3 cos(?t + ?) ampere, the value of I3 in ampere is
Q.7 An air cored coil has a Q of 5 at a frequency of 100 kHz. The Q of the coil at 20 kHz (neglecting skin effect) will be
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Q.8 A current i(t) shown in the figure below is passed through a 1 F capacitor that had zero initial charge. The voltage across the capacitor for t > 2 s in volt is
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