Question

When a number is divided by seven, it has a remainder of $2$. When it is divided by six, it has a remainder of $3$. What is the number?

• A. $16$
• B. $38$
• C. $44$
• D. $9$

Answer 1

The correct option is D $9$

When the number is divided by $7$, remainder is $2$.

$\Rightarrow$ Number is of the form $7p+2$

$\to 2,9,16,23,30,37,44$ are some of the possible cases.

When divided by $6$, remainder is $3$.

Number is of the form $6q+3$

$\to 3,9,15,21,27,33,39,45$ are some of the possible cases.

Thus $9$ satisfies both the conditions.