CS and IT Gate 2015 Set-1 Questions with Answer

Ques 27 Gate 2015 Set-1


A file is organized so that the ordering of data records is the same as or close to the ordering of data entries in some index. Then that index is called

A

Dense

B

Sparse

C

Clustered

D

Unclustered


(Indexing) is the correct answer.

Ques 28 Gate 2015 Set-1


Select operation in SQL is equivalent to

A

the selection operation in relational algebra

B

the selection operation in relational algebra, except that select in SQL retains duplicates

C

the projection operation in relational algebra

D

the projection operation in relational algebra, except that select in SQL retains duplicates


(SQL ) is the correct answer.

Ques 29 Gate 2015 Set-1


Which one of the following is the recurrence equation for the worst case time complexity of the Quicksort algorithm for sorting n ( ≥ 2) numbers? In the recurrence equations given in the options below, c is a constant.

A

T(n)=2T(n/2)+cn

B

T(n)=T(n–1)+T(0)+cn

C

T(n)=2T(n–2)+cn

D

T(n)=T(n/2)+cn


(Complexity) is the correct answer.

Ques 30 Gate 2015 Set-1


Match the following

(P) Prim’s algorithm for minimum spanning tree (i) Backtracking
(Q) Floyd-Warshall algorithm for all pairs shortest paths (ii) Greedy method
(R) Mergesort (iii) Dynamic programming
(S) Hamiltonian circuit (iv) Divide and conquer

A

P-iii, Q-ii, R-iv, S-i

B

P-i, Q-ii, R-iv, S-iii

C

P-ii, Q-iii, R-iv, S-i

D

P-ii, Q-i, R-iii, S-iv


(Algorithms) is the correct answer.

Ques 31 GATE 2015 SET-1


The binary operator ≠ is defined by the following truth table.

Which one of the following is true about the binary operator ≠?

A

Both commutative and associative

B

Commutative but not associative

C

Not commutative but associative

D

Neither commutative nor associative


(a) is the correct answer.

Ques 32 GATE 2015 SET-1


Consider the operations
f(X, Y, Z) = X'YZ + XY' + Y'Z' and g(X, Y, Z) = X'YZ + X'YZ' + XY.
Which one of the following is correct?

A

Both {f} and {g} are functionally complete.

B

Only {f} is functionally complete.

C

Only {g} is functionally complete.

D

Neither {f} nor {g} is functionally complete.


(b) is the correct answer.

Ques 33 GATE 2015 SET-1


A positive edge-triggered D flip-flop is connected to a positive edge-triggered JK flip-flop as follows. The Q output of the D flip-flop is connected to both the J and K inputs of the JK flip-flop, while the Q output of the JK flip-flop is connected to the input of the D flip-flop. Initially, the output of the D flip-flop is set to logic one and the output of the JK flip-flop is cleared. Which one of the following is the bit sequence (including the initial state) generated at the Q output of the JK flip-flop when the flip-flops are connected to a free-running common clock? Assume that J = K = 1 is the toggle mode and J = K = 0 is the state-holding mode of the JK flip-flop. Both the flip-flops have non-zero propagation delays.

A

0110110...

B

0100100...

C

011101110...

D

011001100...


(a) is the correct answer.

Ques 34 Gate 2015 Set-1


Consider a 4 bit Johnson counter with an initial value of 0000. The counting sequence of this counter is

A

0,1,3,7,15,14,12,8,0

B

0,2,4,6,8,10,12,14,0

C

0,8,12,14,15,7,3,1,0

D

0,1,3,5,7,9,11,13,15,0


(Number Representation) is the correct answer.

Ques 35 Gate 2015 Set-1


Which one of the following is NOT equivalent to p ↔ q?

A

(┐p ˅ q) ˄ (p ˅ ┐q)

B

(┐p ˅ q) ˄ (q → p)

C

(┐p ˄ q) ˅ (p ˄ ┐q)

D

(┐p ˄ ┐q) ˅ (p ˄ q)


(Proposition Logic) is the correct answer.

Ques 36 Gate 2015 Set-1


For a set A, the power set of A is denoted by 2A. If A = {5,{6},{7}}, which of the following options are TRUE?
I. ∅ ∈ 2A
II. ∅ ⊆ 2A
III. {5,{6}} ∈ 2A
IV. {5,{6}} ⊆ 2A

A

I and III only

B

II and III only

C

I, II and III only

D

I, II and IV only


(Set Theory) is the correct answer.

Ques 37 GATE 2015 SET-1


Let an represent the number of bit strings of length n containing two consecutive 1s. What is the recurrence relation for an?

A

an-2 + an-1 + 2n-2

B

an-2 + 2an-1 + 2n-2

C

2an-2 + an-1 + 2n-2

D

2an-2 + 2an-1 + 2n-2


(a) is the correct answer.

Ques 38 GATE 2015 SET-1


Didn't you buy _______ when you went shopping?

A

any paper

B

much paper

C

no paper

D

a few paper


(a) is the correct answer.

Ques 39 GATE 2015 SET-1


Which of the following options is the closest in meaning to the sentence below?
She enjoyed herself immensely at the party.

A

She had a terrible time at the party.

B

She had a horrible time at the party.

C

She had a terrific time at the party.

D

She had a terrifying time at the party.


(c) is the correct answer.

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