Question

How many integers between $400$ and $900$ are exactly divisible by $2,3$ and $7$?

• A. $10$
• B. $11$
• C. $12$
• D. $13$

Answer 1

Answer: (C)

$12$

For a number to be divisible by $2,3$ and $7$, then it should be divisible by $2\times 3\times 7=42$
Now, multiples of $42$ between $400$ and $900$ will be divisible by $42$
They are $420,462,504,546,588,630,672,714,756,798,840,882$ which are a total of $12$ numbers.