CS and IT GATE 2015 Set-1 Questions with Answer

Ques 40 English

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Which one of the following combinations is incorrect?

A

Acquiescence - Submission

B

Wheedle - Roundabout

C

Flippancy - Lightness

D

Profligate - Extravagant

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Ques 41 English

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Select the alternative meaning of the underlined part of the sentence.
The chain snatchers took to their heels when the police party arrived.

A

took shelter in a thick jungle

B

open indiscriminate fire

C

took to flight

D

unconditionally surrendered

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Ques 42 Mathematics

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Given Set A = {2, 3, 4, 5} and Set B = {11, 12, 13, 14, 15}, two numbers are randomly selected, one from each set. What is the probability that the sum of the two numbers equals 16?

A

0.20

B

0.25

C

0.30

D

0.33

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Ques 43 Mathematics

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The probabilities that a student passes in Mathematics, Physics and Chemistry are m, p, and c respectively. Of these subjects, the student has 75% chance of passing in at least one, a 50% chance of passing in at least two and a 40% chance of passing in exactly two. Following relations are drawn in m, p, c:
(I) p + m + c = 27/20
(II) p + m + c = 13/20
(III) (p) x (m) x (c) = 1/10
(A) Only relation I is true.
(B) Only relation II is true.
(C) Relations II and III are true.
(D) Relations I and III are true.

A

A

B

B

C

C

D

D

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Ques 44 Mathematics

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The number of students in a class who have answered correctly, wrongly, or not attempted each question in an exam, are listed in the table below. The marks for each question are also listed. There is no negative or partial marking.

What is the average of the marks obtained by the class in the examination?

A

2.290

B

2.970

C

6.795

D

8.795

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Ques 45 Mathematics

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If g(x) = 1 - x and h(x) = x / (x - 1), then g(h(x)) / h(g(x)) is:

A

h(x) / g(x)

B

-1 / x

C

g(x) / h(x)

D

x / (1 - x)²

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Ques 46 Mathematics

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lim_{x → ∞} x^1/x is

A

0^∞

B

0

C

1

D

Not defined

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Ques 47 Mathematics

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In the LU decomposition of the matrix

, if diagonal elements of U are both 1, then the lower diagonal entry l₂₂ of L is _______.

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Ques 48 Mathematics

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∑_x=1^∞ 1 / (x(x+1)) = _______.

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Ques 49 Mathematics

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Suppose L = {p, q, r, s, t} is a lattice represented by the following Hasse diagram:

For any x, y ∈ L, not necessarily distinct, x ∨ y and x ∧ y are join and meet of x, y, respectively. Let L³ = {(x, y, z): x, y, z ∈ L} be the set of all ordered triplets of the elements of L. Let p_r be the probability that an element (x, y, z) ∈ L³ chosen equiprobably satisfies x ∨ (y ∧ z) = (x ∨ y) ∧ (x ∨ z). Then

A

p_r = 0

B

p_r = 1

C

0 < p_r ≤ 1/5

D

1/5 < p_r < 1

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Ques 50 Mathematics

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∫_1/π^2/π cos(1/x) / x² dx = _______.

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Ques 51 Mathematics

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Consider the following 2 x 2 matrix A where two elements are unknown and are marked by a and b. The eigenvalues of this matrix are -1 and 7. What are the values of a and b?

A

a = 6, b = 4

B

a = 4, b = 6

C

a = 3, b = 5

D

a = 5, b = 3

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Ques 52 Operating System

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Suppose the following disk request sequence (track numbers) for a disk with 100 tracks is given: 45, 20, 90, 10, 50, 60, 80, 25, 70. Assume that the initial position of the R/W head is on track 50. The additional distance that will be traversed by the R/W head when the Shortest Seek Time First (SSTF) algorithm is used compared to the SCAN (Elevator) algorithm (assuming that SCAN algorithm moves towards 100 when it starts execution) is _________ tracks

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