The number of prime factors in the expressions 6<sup>4</sup> × 8<sup>6</sup> × 10&lt…

It is given that $${\text{(}}{{\text{2}}^{32}} + 1)$$   is exactly divisible by a certain number, which one of…

The remainder when (12<sup>13</sup> + 23<sup>13</sup>) is divided by 11.

In a farm there are cows and hens. If heads are counted there are 180, if legs are counted there are 420. The number of …

The sum of the cubes of two numbers in the ratio 3 : 4 is 5824. The sum of the numbers is :

A rational number between $${\text{ }}\frac{3}{4}$$ and $${\text{ }}\frac{3}{8}$$ is :

The sum of first five prime numbers is:

Find the remainder when 73 × 75 × 78 × 57 × 197 × 37 is divided by 34.