UGC NET CS 2017 Jan - II

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 2

Match the following :

• (1)
• (2)
• (3)
• (4)

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 9

The hexadecimal equivalent of the octal number 2357 is :

• 2EE
• 2FF
• 4EF
• 4FE

Question 10

Which of the following cannot be passed to a function in C++ ?

• Constant
• Structure
• Array
• Header file