Question

What should be the least value of A so that 39A2 is divisible by 11?

• A. 8
• B. 22
• C. 17
• D. 1

Answer 1

The correct option is A 8

A number is divisible by 11 if the difference between the sum of digits at even places and digits at odd places is either 0 or multiple of 11.

The sum of the digit in the odd places
= 3 + A
The sum of the digit in the even places = 9 + 2 = 11
Hence, 3 + A - 11 can be equal to 0, 11, 22, ...
$\therefore$ A - 8 = 0, 11, 22, ...

If A - 8 = 0, then A = 8
If A - 8 = 11, then A = 19
If A - 8 = 22 then A = 30

Since 8 is a single digit number, hence A can only take the value equal to 8.