CS/IT Gate Yearwise 


CS and IT Gate 2014 Set-2 Questions with Answer

Ques 27 GATE 2014 SET-2

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


(3) is the correct answer.

Ques 28 GATE 2014 SET-2

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

A

((a → b) ∧ (b → c)) → (a → c)

B

(a ↔ c) → (¬b → (a ∧ c))

C

(a ∧ b ∧ c) → (c ∨ a)

D

a → (b → a)


(b) is the correct answer.

Ques 29 GATE 2014 SET-2

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


(36) is the correct answer.

Ques 30 GATE 2014 SET-2

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


(5) is the correct answer.

Ques 31 GATE 2014 SET-2

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: _______.


(1.72 to 1.74) is the correct answer.

Ques 32 GATE 2014 SET-2

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


(6 to 6) is the correct answer.

Ques 33 GATE 2014 SET-2

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

A

90

B

100

C

110

D

120


(b) is the correct answer.

Ques 34 GATE 2014 SET-2

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

A

3.464

B

3.932

C

4.000

D

4.444


(c) is the correct answer.

Ques 35 GATE 2014 SET-2

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 = _______.


(11.85 to 11.95) is the correct answer.

Ques 36 GATE 2014 SET-2

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.)


(3.8 to 3.9) is the correct answer.

Ques 37 GATE 2014 SET-2

If the matrix A is such that

then the determinant of A is _______.


(0) is the correct answer.

Ques 38 GATE 2014 SET-2

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?

A

f(0)f(4) < 0

B

f(0)f(4) > 0

C

f(0) + f(4) > 0

D

f(0) + f(4) < 0


(a) is the correct answer.

Ques 39 GATE 2014 SET-2

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


(0.259 to 0.261) is the correct answer.

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