CS and IT GATE 2014 Set-2 Questions with Answer

Ques 27 Digital Logic

Consider the equation (123)₅ = (x8)_y with x and y as unknown. The number of possible solutions is _______.

Ques 28 Digital Logic

Which one of the following Boolean expressions is NOT a tautology?

Ques 29 Discrete Mathematics

The maximum number of edges in a bipartite graph with n vertices is _______.

Ques 30 Discrete Mathematics

A cycle on n vertices is isomorphic to its complement. The value of n is _______.

Ques 31 Engineering Mathematics

Consider the following function
double f(double x) {
if (abs(x * x - 3) < 0.01) return x;
else return f(x / 2 + 1.5 / x);
}
Give a value q (to 2 decimals) such that f(q) will return q: _______.

Ques 32 Engineering Mathematics

The product of the non-zero eigenvalues of the matrix is _______.

Ques 33 Mathematics

What is the average of all multiples of 10 from 2 to 198?

Ques 34 Mathematics

The value of √(12 + √(12 + √(12 +...))) is

Ques 35 Mathematics

The security system at an IT office is composed of 10 computers of which exactly four are working. To check whether the system is functional, the officials inspect four of the computers picked at random (without replacement). The system is deemed functional if at least three of the four computers inspected are working. Let the probability that the system is deemed functional be denoted by p. Then 100p = _______.

Ques 36 Mathematics

Each of the nine words in the sentence ""The quick brown fox jumps over the lazy dog"" is written on a separate piece of paper. These nine pieces of paper are kept in a box. One of the pieces is drawn at random from the box. The expected length of the word drawn is _______. (The answer should be rounded to one decimal place.)

Ques 37 Mathematics

If the matrix A is such that

Ques 38 Mathematics

A non-zero polynomial f(x) of degree 3 has roots at x = 1, x = 2 and x = 3. Which one of the following is TRUE?

Ques 39 Mathematics

The probability that a given positive integer lying between 1 and 100 (both inclusive) is NOT divisible by 2, 3 or 5 is _______.