Question

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

• A. $0$
• B. $1$
• C. $3$
• D. $5$

Answer 1

The correct option is D $5$

The number will be in form

$143n+31$

Now divide by 13, we get

$\frac{143n+31}{13}=11n+\frac{31}{13}$

Remainder

$\frac{31n}{13}=(2+\frac{5}{13})n$

$\therefore$ Remainder = 5