Question

A number when divided by $48$ leaves a remainder of $31$. Find the remainder if the same number is divided by $24$

• A. $5$
• B. $7$
• C. $9$
• D. $11$

Answer 1

The correct option is B $7$

Let the number be $N$
Since the number when divided by $48$ leaves a remainder of $31$, we have $N=48\left(n\right)+31$ where 'n' is the quotient got by dividing number by $48$
We can write $N=24\times 2\times n+31=24\times \left(2n\right)\times 24+7=24(2n+1)+7$
So, when $N$ is divided by $24$, remainder left is $7$