When 'n' is divisible by 5 the remainder is 2. What is the remainder when n<sup>2</sup> is divided by 5 ?

If n is an integer, then (n<sup>3</sup> - n) is always divisible by :

Arrangement of the fractions into ascending order : $$\frac{4}{3},$$ $$ - \frac{2}{9},$$ $$ - \frac{7}{8},$$ $$\frac{5}…

The least number that must be subtracted from 63520 to make the result a perfect square is -

Find the least number of five digits which when divided by 40, 60, and 75, leave remainders 31, 51 and 66 respectively.

$$999\,\frac{1}{7} + 999\frac{2}{7} + 999\frac{3}{7} + $$     $$999\frac{4}{7} + $$   $$999\f…

The total number of 3 digit numbers which have two or more consecutive digits identical is:

The least number of five digits which is divisible by 123 ?