Previous Year Questions

Gate CSGate CS 2020 | Question - 1 | Engineering Mathematics

Consider the functions I.e-x II.x2-sinx III.x3+1 Which of the above functions is/are increasing everywhere in [0,1]?

Gate CSGate CS 2020 | Question - 42 | Engineering Mathematics

The number of permutations of the characters in LILAC so that no character appears in its original position, if the two Ls are indistinguishable, is ______.

Gate CSGate CS 2020 | Question - 45 | Engineering Mathematics

For n2, let a {0, 1}n be a non-zero vector. Suppose that x is chosen uniformly at random from {0, 1}n. Then, the probability thati=1naixi is an odd number is ______.