Mathematics GATE previous year questions with answer
Ques 53 Gate 2015 Set-3
A function f(x) is linear and has a value of 29 at x = –2 and 39 at x = 3. Find its value at x = 5.
Ques 54 GATE 2015 SET-3
Let R be a relation on the set of ordered pairs of positive integers such that ((p, q), (r, s)) ∈ R if and only if p - s = q - r. Which one of the following is TRUE about R?
Ques 55 Gate 2015 Set-2
The number of divisors of 2100 is _________.
Ques 56 Gate 2015 Set-2
Consider a function f(x) = 1 – |x| on –1 ≤ x ≤ 1. The value of x at which the function attains a maximum and the maximum value of the function are:
Ques 57 GATE 2015 SET-2
The cardinality of the power set of {0, 1, 2,..., 10} is _______.
Ques 58 GATE 2015 SET-2
The larger of the two eigenvalues of the matrix
Ques 59 GATE 2015 SET-2
In a triangle PQR, PS is the angle bisector of ∠QPR and ∠QPS = 60°. What is the length of PS?
Ques 60 GATE 2015 SET-2
Let f(x) = x-(1/3) and A denote the area of the region bounded by f(x) and the X-axis, when x varies from -1 to 1. Which of the following statements is/are TRUE?
I) f is continuous in [-1, 1]
II) f is not bounded in [-1, 1]
III) A is nonzero and finite
Ques 61 GATE 2015 SET-2
Perform the following operations on the matrix
(ii) Subtract the third column from the first column.
The determinant of the resultant matrix is _______.
Ques 62 GATE 2015 SET-2
The number of onto functions (surjective functions) from set X = {1, 2, 3, 4} to set Y = {a, b, c} is _______.
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