Question

Which of the fllowing can be the value of x, if 235x7 is divisible by 3?

• A. 1
• B. 4
• C. 7
• D. All of these

Answer 1

The correct option is D

All of these

For 235x7 to be divisible by 3, the sum of the digits of 235x7 must be divisible by 3.

$\therefore$ 2 + 3 + 5 + x + 7 = 17 + x must be divisible by 3.

The number from the given options which will satisfy the above condition is 7.

The other options will make the sum = 20, 23, 28, none of which are divisible by 3.

17 + 7 = 24 which is divisible by 3.

$\Rightarrow$ 7 is the correct answer.