UGC NET CS 2014 Dec - II

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Question 1

Consider a set A = {1, 2, 3, ........, 1000}. How many members of A shall be divisible by 3 or by 5 or by both 3 and 5?
  • 533
  • 599
  • 467
  • 66
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Question 2

A certain tree has two vertices of degree 4, one vertex of degree 3 and one vertex of degree 2. If the other vertices have degree 1, how many vertices are there in the graph?
  • 5
  • n - 3
  • 20
  • 11
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Question 3

Consider the Graph shown below: This graph is a __________.

  • Complete Graph
  • Bipartite Graph
  • Hamiltonian Graph
  • All of the above
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Question 4

A computer program selects an integer in the set {k : 1 ≤ k ≤ 10,00,000} at random and prints out the result. This process is repeated 1 million times. What is the probability that the value k = 1 appears in the printout atleast once?
  • 0.5
  • 0.704
  • 0.632121
  • 0.68
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Question 5

If we define the functions f, g and h that map R into R by : f(x) = x4 , g(x) = √(x2 + 1), h(x) = x2 + 72, then the value of the composite functions ho(gof) and (hog)of are given as

  • x8 – 71 and x8 – 71

  • x8– 73 and x8 – 73

  • x8 + 71 and x8 + 71

  • x8 + 73 and x8 + 73

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Question 6

The BCD adder to add two decimal digits needs minimum of
  • 6 full adders and 2 half adders
  • 5 full adders and 3 half adders
  • 4 full adders and 3 half adders
  • 5 full adders and 2 half adders
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Question 7

The Excess-3 decimal code is a self-complementing code because (1)The binary sum of a code and its 9’s complement is equal to 9. (2)It is a weighted code. (3)Complement can be generated by inverting each bit pattern. (4)The binary sum of a code and its 10’s complement is equal to 9.
  • (1)
  • (2) and (3)
  • (1) and (3)
  • All are correct.
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Question 8

How many PUSH and POP operations will be needed to evaluate the following expression by reverse polish notation in a stack machine (A ∗ B) + (C ∗ D / E)?
  • 4 PUSH and 3 POP instructions
  • 5 PUSH and 4 POP instructions
  • 6 PUSH and 2 POP instructions
  • 5 PUSH and 3 POP instructions
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Question 9

The range of representable normalized numbers in the floating point binary fractional representation in a 32-bit word with 1-bit sign, 8-bit excess 128 biased exponent and 23-bit mantissa is

  • 2-128 to (1 – 2-23 ) × 2127

  • (1 – 2 –23 ) × 2 –127 to 2128

  • (1 – 2 –23 ) × 2 –127 to 2 23

  • 2 –129 to (1 – 2 –23 ) × 2 127

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Question 10

The size of the ROM required to build an 8-bit adder / subtractor with mode control, carry input, carry output and two’s complement overflow output is given as

  • 216 × 8

  • 2 18 × 10

  • 216 × 10

  • 2 18 × 8

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