Question

Which of the following numbers are divisible by 11?

1. 5632

2. 49621

3. 1253

4. 9812

• A. 1 and 2
• B. 1 and 3
• C. 1, 2 and 4
• D. All of these

Answer 1

The correct option is C

1, 2 and 4

Divisibility rule of 11: The (sum of the odd numbered digits) - (sum of the even numbered digits) should be divisible by 11.

$$\begin{array}{cccc}Number& Sumofdigitsatoddplace& Sumofdigitsatevenplace& Whetherdivisibleby11\\ 5632& 2+6=8& 3+5=8& Yes\\ 49621& 1+6+4=11& 2+9=11& Yes\\ 1253& 3+2=5& 5+1=6& No\\ 9821& 2+8=10& 1+9=10& Yes\end{array}$$

So, 5632, 49621 and 9821 are divisible by 11.