Question

On dividing $2272$ as well as $875$ by $3$- digit number $N$, we get the same remainder. What is the sum of the digits of $N$?

• A. $8$
• B. $9$
• C. $10$
• D. None of these

Answer 1

Answer: (C)

$10$

$\Rightarrow$ $(2272-875)=1397$, is exactly divisible by $N.$

$\Rightarrow$ Now , $1397=11\times 127$

$\Rightarrow$ The required $3$-digit number is $127$.

$\Rightarrow$ The sum of digits $=1+2+7=10$