Question

39M2 ,What should be the least value of M so that it is divisible by 11 ?

• A. 8
• B. 9
• C. 17
• D. 22

Answer 1

The correct option is A

8

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

The sum of the digit in the odd places = 3 + M

The sum of the digit in the even places = 9 + 2 = 11

Hence 3 + M - 11 should be 0 , 11 , 22, ...

$\Rightarrow$ M - 8 = 0 , 11 , 22

If M- 8 = 0, then M = 8

If M - 8 = 11 , then M = 19

If M- 8 = 22 then M = 30

Since only 8 is a single digit number , $M=8.$