Question

How many positive integers less than $1000$ are multiples of $5$ and are equal to $3$ times an even integer?

Answer 1

Given that the number must be multiple of $5$ and it should be equal to $3$ times an even integer. which implies the integer must be divisible by $5$ and $6$.

Therefore the integer must be divisible by $30$.

Therefore number of integers are $\frac{1000}{30}=33.33$.

So number of integers are $33$.