Question

What is the least value that should be given to ${}^{\prime }{a}^{\prime }$ so that the number $653a47$ will be divisible by 11?

• A. 9
• B. 6
• C. 2
• D. 1

Answer 1

The correct option is D

1

A number is divisible by 11, if the difference of the sum of its digits in odd places from the right side and sum of its digits in even places from the right side is divisible by 11.

To check the divisibility by 11:
$(7+a+5)-(4+3+6)=0$ or a multiple of 11
$12+a-13=0$ or multiple of 11
$a-1=0$
$\therefore$ $a=1$