Hi,
If n is a positive integer, is n3(cube) - n divisible by 4 ?
(1) n = 2k + 1, where k is an integer.
(2) n2 + n is divisible by 6.
Answer as per OG is A, 1 itself is sufficient but not 2.
However, for k = 0 (k is integer), n value is 1(positive) and n(cube) - n is 0 which is not divisible by 4. For all other cases it is divisible. So, A alone is not sufficient. In that case C will be the answer as it will prompt k value to be more than 0. Can some one tell me if there is anything wrong in my analysis?
If n is a positive integer, is n3(cube) - n divisible by 4 ?
(1) n = 2k + 1, where k is an integer.
(2) n2 + n is divisible by 6.
Answer as per OG is A, 1 itself is sufficient but not 2.
However, for k = 0 (k is integer), n value is 1(positive) and n(cube) - n is 0 which is not divisible by 4. For all other cases it is divisible. So, A alone is not sufficient. In that case C will be the answer as it will prompt k value to be more than 0. Can some one tell me if there is anything wrong in my analysis?

















