True or False:
The number `7^9 + 9^7` is divisible by 64.

State True or False. If a number is divisible by 8 then it is also divisible by 16.

Statement -1 For each natural number n,(n+1)^(7)-n^7-1 is divisible by 7. Statement -2 For each natural number n,n^7-n is divisible by 7.

Consider the nine digit number n = 7 3 alpha 4 9 6 1 beta 0. If q is the number of all possible values of beta for which the given number is divisible by 8, then q is equal to

The digits 1, 2, 3, 4, 5, 6, 7, 8, and 9 are written in random order to form a nine digit number.Let p be the probability that this number is divisible by 36, find 9p.

You have seen that a number 450 is divisible by 10 .It is also divisible by 2 and 5 which are factors of 10.Similarly,a number 135 is divisible by 9.It is also divisible by 3 which is a factor of 9. Can you say that if a number is divisible by any number m,then it will also be divisible by each of the factors of m?

Consider the nine digit number n = 7 3 alpha 4 9 6 1 beta 0. The number of possible values of (alpha+beta) for which the given number is divisible by 6, is