CBSE UGC NET Computer Science Paper III Solved June 2015 - Part 4

31.       An all-pairs shortest-paths problem is efficiently solved using:
(A) Dijkstra' algorithm              (B) Bellman-Ford algorithm
(C) Kruskal Algorithm             (D) Floyd-Warshall algorithm
Answer: D
32.       The travelling salesman problem can be solved in:
(A) Polynomial time using dynamic programming algorithm
(B) Polynomial time using branch-and-bound algorithm
(C) Exponential time using dynamic programming algorithm or branch-and-bound algorithm.
(D) Polynomial time using backtracking algorithm.
Answer: C
33.       Which of the following is asymptotically smaller?
(A) lg(lg*n)        (B) lg*(lg n)
(C) lg(n!)            (D) lg*(n!)
Answer: A
34.       Consider a hash table of size m=100 and the hash function h(k) = floor(m(kA mod 1)) for A = (√5 − 1)/2 = 0.618033. Compute the location to which the key k = 123456 is placed in hash table.
(A) 77     (B) 82
(C) 88     (D) 89
Answer: C
35.       Let f(n) and g(n) be asymptotically non-negative functions. Which of the following is correct?
(A) θ(f(n) * g(n)) = min(f(n), g(n))
(B) θ(f(n) * g(n)) = max(f(n), g(n))
(C) θ(f(n) + g(n)) = min(f(n), g(n))
(D) θ(f(n) + g(n)) = max(f(n), g(n))
Answer: D

36.       The number of nodes of height h in any n - element heap is ..............
(A) h                   (B) zh
(C) ceil(n/zh)     (D) ceil(n/zh+1)
Answer: D
37.       In Java, when we implement an interface method, it must be declared as:
(A) Private         (B) Protected
(C) Public          (D) Friend
Answer: C
38.       The Servlet Response interface enables a servlet to formulate a response for a client using the method ...............
(A) void log(Exception e, String s)
(B) void destroy()
(C) int getServerPort()
(D) void setContextType(String Type)
Answer: D
39.       Which one of the following is correct?
(A) Java applets cannot be written in any programming language
(B) An applet is not a small program.
(C) An applet can be run on its own.
(D) Applets are embedded in another applications.
Answer: D
40.    In XML we can specify the frequency of an element by using the symbols:
(A) + * !               (B) # * !
(C) + * ?             (D) - * ?
Answer: C


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