Let m and n be natural numbers. What is the minimum value of (m + n) such that 33m + 22n is divisible by 121?

What is the smallest natural number n such that (n + 1) x n x (n - 1) x (n - 2) x . . . 3 x 2 x 1 is divisible by 910 ? (where x is multiplication symbol)

There are two natural numbers x and y, where x >.y When x is divided by 6, it leaves the remainder 2 and; when y is divided by 6, it 22. leaves the remainder 3. What is the remainder when (x - y) is…

The greatest number of four digit which is divisible by 15, 25, 40 and 75 is :

What are the two natural numbers whose product is 2400 and the sum of whose squares is 5200?

Find the sum of all three-digit numbers divisible by 9.