`(x^n-a^n)` is divisible by `(x-a)` for all values of n (b) only for even values of n (c) only for odd values of n (d) only for prime values of n

If y^(n) -1 is divisible by y+ a for all values of n in N , then a must by

If 44! is divisible by 3^(n) then maximum value of n

If n! - n = n , then the value of n is :

If n! - n = n , then the value of n is :

For all values of n . N ( n+1) (n+5) will be divisible by

If P (n) : ''2^(2n)-1 is divisible by for all n in N'' is true , then the value of 'k' is

If 10^(n) + 3.4^(n) + x is divisible by 9 for all n in N , then least positive value of 'x' is

Consider the following statements: For any positive integer n, the number 10^n-1 is divisible by 9 for n = odd only (2) 9 for n = even only 11 for n = odd only (4) 11 for n = even only Which of the above statements are correct? 1 and 3 (b) 2 and 3 (c) 1 and 4 (d) 2 and 4

If P(n): "''" 2^(2n)-1 is divisible by k for all n in N"''" is true, then the value of 'K' is