Let `a = (72!)/(36!)^2-1` , then (A) a is odd (B) a is divisible by 71 (C) a is divisible by 73 (D) a is even

If n is an odd integer then n ^(2) -1 is divisible by

Let P(x) and Q(x) be two polynomials.Suppose that f(x) = P(x^3) + x Q(x^3) is divisible by x^2 + x+1, then (a) P(x) is divisible by (x-1),but Q(x) is not divisible by x -1 (b) Q(x) is divisible by (x-1), but P(x) is not divisible by x-1 (c) Both P(x) and Q(x) are divisible by x-1 (d) f(x) is divisible by x-1

7^9+9^7 is divisible by (A) 16 (B) 24 (C) 64 (D) 72

7^9+9^7 is divisible by (A) 16 (B) 24 (C) 64 (D) 72

How many numbers from 1 to 100 are divisible by 12 but not divisible by 36?

The number 200 C_(100) , is divisible by 8 (b) not divisible by 16 divisible by 32 (d) divisible by 64

Show that the polynomial (x^(71)+1) is not divisible by (x - 1), but is divisible by (x + 1).

If n is any odd number greater than 1, then n backslash(n^(2)-1) is divisible by 24 always (b) divisible by 48 always (c) divisible by 96 always (d) None of these

Property 1 If a number is divisible by another number then it is divisible by each of the factors of that number.If abc are three natural numbers such that a is divisible by b and b is divisible by c then a is divisible by c also.