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 C $3$

A number when divided by 143 leaves 31 as remainder

The given number is of the form $143x+31=13\left(11x\right)+13\times 2+5$

$13(11x+2)+5$

$\therefore$ The remainder when the given number is divided by 13 is 5