July2016 cs Q15
- Option : A
- Explanation : We have function: int f (int n) { if (n = = 0) then return n; else return n + f(n-2); } we have to find output for n = 100 i.e int f (100) { if (n = = 0) then return n; //failure// else return 100 + f (98) { if (n = = 0) then return n; //failure// else return 98 + f (96) { if (n = = 0) then return n; //failure// else return 96 + f (94).......................f(0);// It will be a AP series of 100 , 98, 96,.........0// ; }; }; } Sum of series when we know first and last term and no of terms: Sn = n / 2 * (first term + last term) i.e. 51 / 2 * (100 + 0). = 51 * 50 = 2550. So, option (A) is correct.
