Question

A number when divided by $156$ gives $29$ as remainder. If the same number is divided by $13$ , what will be the remainder?

• A. $4$
• B. $3$
• C. $5$
• D. $6$

Answer 1

The correct option is B $3$

We know that,

$Dividend=(Divisor\times Quotient)+Remainder$

Let , the quotient is x.

Given number = 156x + 29
=156x + 26 + 3
= 13 $\times$ 12x + 13 $\times$ 2 + 3
= 13(12x + 2) + 3
$\therefore$ When the number is divided by 13 the remainder will be 3