Question

The number $n$ is a $2$-digit number. When $n$ is divided by $10$, the remainder is $9$ and when $n$ is divided by $9$, the remainder is $8$. What is the value of $n$?

• A. $86$
• B. $87$
• C. $88$
• D. $89$

Answer 1

The correct option is D $89$

(i) Let the number is $n$

Two digit number divided by $10$, the reminder is

$19,29,39,49,59,69,79,89.99$

And two digit number divided by $9$, the remainder is $8$ is

$26,35,44,53,62,71,80,89,98$

In those number $89$ is common number.

Then answer is $89$.