The data of different natural numbers 4, 7, 10, 14, 2x + 3, 2x + 5, 22, 23, 30, 50 are in ascending order. How many possible values are there for the median of the data for various values of x ?

Consider the pairs of prime numbers (m, n) between 50 and 100 such that m…

How many pairs of (x, y) can be chosen from the set {2, 3, 6,…

What is the remainder when 2^1000000 is divided by 7?

If the number 413283759387 is divisible by 13, then what is the value of P?

A circle is inscribed in a triangle ABC. It touches the sides BC, CA, AB…