Question

How many numbers less than $1000$ are multiples of both $10$ and $13$?

• A. $9$
• B. $8$
• C. $6$
• D. $7$

Answer 1

The correct option is D $7$

For a number divisible by both $10$ and $13$ it has to be divisible by $130$ (LCM of $10$ and $13)$.
Number of multiples of $130$ is the quotient obtained by dividing $1000$ by $130$ and required number of multiples: $\frac{1000}{130}=7$.