The number of positive integers n in the set {1, 2, 3, .......100} for which the number `(1^(2)+2^(2)+3^(2)+......+n^(2))/(1+2+3+......+n)` is an integer is

Options

A. 33
B. 34
C. 50
D. 100

Answer

D

Explanation

`(a^(n)+b^(n)+c^(n)+....)/(a+b+c+....)` is always an integer is n = odd
n=7 odd here