CS and IT Gate 2015 Set-1 Questions with Answer

Ques 40 GATE 2015 SET-1

Which one of the following combinations is incorrect?

Ques 41 GATE 2015 SET-1

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

Ques 42 GATE 2015 SET-1

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?

Ques 43 GATE 2015 SET-1

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.

Ques 44 GATE 2015 SET-1

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.

Ques 45 GATE 2015 SET-1

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

Ques 46 GATE 2015 SET-1

lim_{x → ∞} x^1/x is

Ques 47 GATE 2015 SET-1

In the LU decomposition of the matrix

Ques 48 GATE 2015 SET-1

∑_x=1^∞ 1 / (x(x+1)) = _______.

Ques 49 GATE 2015 SET-1

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

Ques 50 GATE 2015 SET-1

∫_1/π^2/π cos(1/x) / x² dx = _______.

Ques 51 GATE 2015 SET-1

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?

Ques 52 Gate 2015 Set-1

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