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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