71.  Which of the following is/are not true?
(a) The set of negative integers is countable. (b) The set of integers that are multiples of 7 is countable. (c) The set of even integers is countable. (d) The set of real numbers between 0 and 1/2 is countable. 
a.  (a) and (c) 
b.  (b) and (d) 
c.  (b) only 
d.  (d) only 
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Answer: (d).(d) only

72.  Consider the graph given below. The two distinct sets of vertices, which make the graph bipartite are: 
a.  (v1, v4, v6); (v2, v3, v5, v7, v8) 
b.  (v1, v7, v8); (v2, v3, v5, v6) 
c.  (v1, v4, v6, v7); (v2, v3, v5, v8) 
d.  (v1, v4, v6, v7, v8); (v2, v3, v5) 
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Answer: (c).(v1, v4, v6, v7); (v2, v3, v5, v8)

73.  A data cube C, has n dimensions, and each dimension has exactly p distinct values in the base cuboid. Assume that there are no concept hierarchies associated with the dimensions. What is the maximum number of cells possible in the data cube, C? 
a.  p^n 
b.  p 
c.  (2^n1)p+1 
d.  (p+1)^n 
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Answer: (d).(p+1)^n

74.  Suppose that from given statistics, it is known that meningitis causes stiff neck 50% of the time, that the proportion of persons having meningitis is 1/50000, and that the proportion of people having stiff neck is 1/20. Then the percentage of people who had meningitis and complain about stiff neck is: 
a.  0.01% 
b.  0.02% 
c.  0.04% 
d.  0.05% 
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Answer: (b).0.02%

75.  How many solutions are there for the equation x+y+z+u=29 subject to the constraints that x≥1, y≥2, z≥3 and u≥0? 
a.  4960 
b.  2600 
c.  23751 
d.  8855 
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Answer: (b).2600

76.  Given two sequences X and Y:
X = < a, b, c, b, d, a, b > Y = < b, d, c, a, b, a > The longest common subsequence of X and Y is: 
a.  < b, c, a > 
b.  < c, a, b > 
c.  < b, c, a, a > 
d.  < b, c, b, a > 
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Answer: (d).< b, c, b, a >

77.  If there are n integers to sort, each integer has d digits and each digit is in the set {1,2, ..., k}, radix sort can sort the numbers in: 
a.  O(d n k) 
b.  O(d n^k) 
c.  O((d+n)k) 
d.  O(d(n+k)) 
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Answer: (d).O(d(n+k))

78.  The solution of the following recurrence relation is: 
a.  O(lg n) 
b.  O(n) 
c.  O(n lg n) 
d.  None of the above 
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Answer: (d).None of the above

79.  A bellshaped membership function is specified by three parameters (a, b, c) as follows: 
a.  A 
b.  B 
c.  C 
d.  D 
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Answer: (b).B

80.  Consider the given graph given below. Its Minimum Cost Spanning Tree is .................. 
a.  A 
b.  B 
c.  C 
d.  D 
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Answer: (b).B
