Question

A number when divided by 143 leaves 31 as remainder. What will be the remainder when the same number is divided by 13?

Options

• 0

• 1

• 3

• 5

Answer 1

5

Explanation:

Let the given number when divided by 143 give q as quotient and 31 as remainder.

Then, number = 143q + 31

= {13 × 11q + 13 × 2 + 5}

= 13 × (11q + 2) + 5 

So, the same number when divided by 13 gives 5 as remainder.