Question

If a three digit number $70x$ is divisible by 3, find the smallest possible value of $x$.

• A. 1
• B. 5
• C. 3
• D. 2

Answer 1

The correct option is D 2

For a number to be divisible by 3, the sum of its digits should be divisible by 3.
Hence, for $70x$ to be divisible by 3, the value of $7+0+x$ should be divisible by 3.
The smallest multiple of 3 greater than 7 is 9 i.e. $7+0+x=9$
$\Rightarrow$ $x=2$
$\therefore$ the smallest value of $x$ for which the number $70x$ is divisible by 3 is 2.