On dividing a number by 357, we get 39 as remainder. On dividing the same number 17, what will be the remainder ?
0
3
5
11
Explanation:
Let $ x $ be the number and $ y $ be the quotient. Then,
$ x $ = 357 $x y $ + 39
= $\left(17 \times 21 xy\right )$ + $\left(17 \times 2\right)$ + 5
= 17 x $\left(21y + 2\right) + 5$
$\therefore$Required remainder = 5.