61. Given the
following equalities :

E

_{1}: n^{K+}^{ÃŽ}+ n^{K}lg n = q(n^{K+}^{ÃŽ}) for all fixed K and ÃŽ, K > 0 and ÃŽ > 0.
E

_{2}: n^{3}2^{n}+ 6n^{2}3^{n}= O(n^{3}2^{n})
Which of the following is true?

(A) E1 is
correct and E2 is correct.

(B) E1 is
correct and E2 is not correct.

(C) E1 is not
correct and E2 is correct.

(D) E1 is not
correct and E2 is not correct.

Answer: B

62. Consider
the fractional knapsack instance n = 4, (p1, p2, p3, p4) =
(10, 10, 12, 18), (w1, w2, w3, w4) =
(2, 4, 6, 9) and M = 15. The maximum profit is given by

(Assume p and w denotes profit and weight of
objects respectively)

(A) 40

(B) 38

(C) 32

(D) 30

Answer: B

63. The solution of
the recurrence relation of

(A) O(n2)

(B) O(n

*l*g n)
(C) O(n)

(D) O(

*l*g n)
Answer: C

64. If h
is chosen from
a universal collection of hash functions and is used to hash n keys into a
table of size m, where n ≤ m, the expected number of collisions involving a particular
key K is

(A) less than 1

(B) less than

*l*g n
(C) greater than 1

(D) greater than

*l*g n
Answer: A

65. Given
the following statements :

S1 : The
subgraph-isomorphism problem takes two graphs G1 and G2 and asks whether G1 is a
subgraph of G2.

S2 : The
set-partition problem takes as input a set S of numbers and asks whether the
numbers can be partitioned into two sets A

Which of the following is true?

(A) S1 is NP
problem and S2 is P problem.

(B) S1 is NP
problem and S2 is NP problem.

(C) S1 is P
problem and S2 is P problem.

(D) S1 is P
problem and S2 is NP problem.

Answer: B

66. Suppose that
the splits at every level of quicksort are in the proportion (1 – a) to a,
where 0 < a ≤ ½ is a constant. The minimum depth of a leaf in the recursion tree is approximately
given by

Answer: C

67. Ten signals, each
requiring 3000 Hz, are multiplexed on to a single channel using FDM. How much minimum
bandwidth is required for the multiplexed channel? Assume that the guard bands
are 300 Hz wide.

(A) 30,000

(B) 32,700

(C) 33,000

(D) None of the above

Answer: B

68. A
terminal multiplexer has six 1200 bps terminals and ‘n’ 300 bps terminals connected
to it. If the outgoing line is 9600 bps, what is the value of n?

(A) 4

(B) 8

(C) 16

(D) 28

Answer: B

69. Which of
the following is used in the options field of IPv4?

(A) Strict source routing

(B) Loose source routing

(C) time stamp

(D) All of the above

Answer: D

70. Which
layers of the OSI reference model are host-to-host layers?

(A) Transport, Session, Presentation, Application

(B) Network, Transport, Session, Presentation

(C) Data-link, Network, Transport, Session

(D) Physical, Data-link, Network, Transport

Answer: A

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