Coding Made Easy: August 2016

Saturday, 13 August 2016

UGC-NET Computer Science July 2016 Solved Paper 2

Q::15 What is the value returned by the function f given below when n=100 ?
int f (int n)
{
if (n==0) then
return n;
else
return n + f(n-2);
}

(A)2550 (B)2556

(C)5220 (D)5520

Answer: (A)

Explanation:

f(100)-->(100 + f(98)-->(98 + f(96)-->96 + f(94)........... 2 + f(0) <-- 0

So, it will be an A.P.

2 + 4 +6 +8 + ... + 98 + 100 = n(n+1) {Sum of even numbers upto 'n'}

=50 * 51 = 2550.

Hence, Option A is correct.

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Monday, 1 August 2016

UGC-NET Computer Science July 2016 Solved Paper 2

Q:2 Suppose that R1 and R2 are reflexive relations on a set A.

Which of the following statements is correct ?

(A) R1∩R2 is Reflexive and R1∪R2 is irreflexive

(B) R1∩R2 is irReflexive and R1∪R2 is reflexive

(D) Both R1∩R2 and R1 ∪R2 are irreflexive

Answer: C

Explanation:

Suppose if both R1 and R2 are Reflexive, Symmetric and Transitive i.e. R1 and R2 are both equivalence relations then:

R1∩R2 is Reflexive, Symmetric and Transitive.

R1∪R2 is Reflexive, Symmetric but not Transitive.

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