Question

A four-digit number $aabb$ is divisible by $55$. Then possible value(s) of $b$ is/are

• A. $0\mathrm{and}2$
• B. $2\mathrm{and}5$
• C. $0\mathrm{and}5$
• D. $7$

Answer 1

The correct option is C

$0\mathrm{and}5$

It is known that if a four-digit number $aabb$ is divisible by $55$, then the number should be divisible by the factors of $55$. It means that the number $aabb$ is divisible by $5$. By using the divisibility test of $5$, it must be $0$ or $5$.

i.e., any number ending with $0or5$ can be divisible by $5$

Hence, option (c) is correct.