UGC NET CS 2017 Jan - II
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Question 1
Consider a sequence F00 defined as : F00(0) = 1, F00(1) = 1 F00(n) = 10 ∗ F00(n – 1) + 100 F00(n – 2) for n ≥ 2 Then what shall be the set of values of the sequence F00 ?
- (1, 110, 1200)
- (1, 110, 600, 1200)
- (1, 2, 55, 110, 600, 1200)
- (1, 55, 110, 600, 1200)
Question 3
The functions mapping R into R are defined as : f(x) = x3 – 4x, g(x) = 1/(x2 + 1) and h(x) = x4. Then find the value of the following composite functions : hog(x) and hogof(x)
(x2 + 1)4 and [(x3 – 4x)2 + 1]4
(x2 + 1)4 and [(x3 – 4x)2 + 1]-4
(x2 + 1)-4 and [(x3 – 4x)2 + 1]4
(x2 + 1)-4 and [(x3 – 4x)2 + 1]-4
Question 4
How many multiples of 6 are there between the following pairs of numbers ? 0 and 100 and –6 and 34
16 and 6
17 and 6
17 and 7
16 and 7
Question 5
Consider a Hamiltonian Graph G with no loops or parallel edges and with |V(G)| = n ≥ 3.
Then which of the following is true ?
- deg(v) ≥n/2 for each vertex v.
- |E(G)| ≥1/2(n – 1) (n – 2) + 2
- deg (v) + deg(w) ≥ n whenever v and w are not connected by an edge
- All of the above
Question 6
In propositional logic if (P → Q) ∧ (R → S) and (P ∨ R) are two premises such that
(P → Q) ∧ (R → S)
P ∨ R
Y
Y is the premise :
- P ∨ R
- P ∨ S
- Q ∨ R
- Q ∨ S
Question 7
ECL is the fastest of all logic families. High speed in ECL is possible because transistors are used in difference amplifier configuration, in which they are never driven into ____.
- Race condition
- Saturation
- Delay
- High impedance
Question 8
Convert the octal number 0.4051 into its equivalent decimal number.
- 0.5100098
- 0.2096
- 0.52
- 0.4192
Question 10
Which of the following cannot be passed to a function in C++ ?
- Constant
- Structure
- Array
- Header file
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There are 49 questions to complete.
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