Question

A number is divisible by both $5$ and $12$. By which other numbers Will that number be always divisible

• A. $72$
• B. $60$
• C. $62$
• D. $42$

Answer 1

The correct option is B $\left(60\right)$

Given that a number is divisible by $5$ and $12$
Let the number be $x$ then it is divisible by $5$,
it must be multiple of $5$, So $x=5m$ for some integer $m$.
And also $x$ must be multiple of $12$ as well, So $x=5\left(12n\right)$ for some integer $n$.
Thus, $x=60n$ is multiple of $60$.
Therefore, $x$ always divisible by $60$.