`7^(6n)-6^(6n),` where n is an integer > 0, is divisible by 13 (b) 127 (c) 559 (d) All of these

If n even,(6^(n)-1) is divisible by 6 (b) 30 (c) 35 (d) 37

The number 6n^(2)+6n for natural number n is always divisible by 6 only (b) 6 and 12(c)12 only (d) 18 only

The expression 2^(6n) - 4^(2n) , where n is a natural number is always divisible by

Prove that 7^(n) - 6n - 1 is always divisible by 36.

If cot^(-1)(n)/(pi)>(pi)/(6),n in N, then the maximum value of n is 6(b)7 (c) 5 (d) none of these

For any positive integer n,prove that n^(3)-n is divisible by 6

For any positive integer n prove that n^(3)-n is divisible by 6