# Moderate Number System Solved QuestionAptitude Discussion

 Q. A number when divided by 342 gives a remainder 47. When the same number is divided by 19, what would be the remainder?
 ✖ A. 5 ✔ B. 9 ✖ C. 4 ✖ D. 0

Solution:
Option(B) is correct

On dividing the given number by 342, let $k$ be the quotient and 47 as remainder.

Then,

$\text{number} - 342k + 47 = (19 × 18k + 19 × 2 + 9)$

$= 19 (18k + 2) + 9$

⇒ The given number when divided by 19, gives $18k + 2$ as quotient and 9 as remainder.

## (2) Comment(s)

Saikat Chakraborty
()

$N=342a+47$ {$a=$quotient} if the number is divided by 19, remainder is also divided by 19.

So $\dfrac{47}{19}$ leaves a remainder of 9 (ans).

Shobia
()

multiplay 342 by 2-> 684+47=731

i.e) 731/342 will give remainder 47

then.., 731/19 will give remainder 9

ans:9