Question

How many numbers are there from $300$ to $650$ which are completely divisible by both $5$ and $7$?

• A. $8$
• B. $9$
• C. $10$
• D. $12$

Answer 1

Answer: (C)

$10$

Numbers divisible by both $5$ and $7$ = Numbers divisible by $35$
Between $300$ and $650$, the least number divisible by $35$ is $15$ and largest number is $630$. So total numbers divisible by $35$ are $\left(\frac{630-315}{35}\right)+1=9+1=10$