Question

On dividing a number by $357$, we get $39$ as remainder. On dividing the same number $17$, what will be the remainder?

• A. $0$
• B. $3$
• C. $5$
• D. $11$

Answer 1

The correct option is C $5$

Let $x$ be the number and $y$ be the quotient. Then,
$x=357xy+39$
$=(17\times 21\times y)+(17\times 2)+5$
$=17\times (21y+2)+5)$
$\therefore$ Required number $=5$.