Question

A number when divided by $44$, gives $432$ as quotient and $0$ as remainder. What will be the remainder when dividing the same number by $31$?

• A. $4$
• B. $5$
• C. $2$
• D. None of these

Answer 1

The correct option is B $5$

$\Rightarrow$ Let $D$ be the dividend.

$\Rightarrow$ $D÷44=432$

$\Rightarrow$ $D=432\times 44=19008$

$\Rightarrow$ $\frac{D}{31}=\frac{19008}{31}=613$, Remainder $=5$.

$\therefore$ Required remainder is $5$.