Question

Which of the following numbers is divisible by 11?

विकल्प

• 1011011

• 1111111

• 22222222 

• 3333333

Answer 1

22222222 

Explanation:

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

a. We get

Sum of the digits at even places = 1 + 1 + 0 = 2 

Sum of the digits at odd places = 1 + 0 + 1 + 1 = 3 

Difference = 3 – 2 = 1

It is not divisible by 11.

b. We get

Sum of the digits at even places = 1 + 1 + 1 = 3 

Sum of the digits at odd places = 1 + 1 + 1 + 1 = 4 

Difference = 4 – 3 = 1

It is not divisible by 11.

c. We get

Sum of the digits at even places = 2 + 2 + 2 + 2 = 8

Sum of the digits at odd places = 2 + 2 + 2 + 2 = 8

Difference = 8 – 8 = 0

It is divisible by 11.

d. We get

Sum of the digits at even places = 3 + 3 + 3 = 9 

Sum of the digits at odd places = 3 + 3 + 3 + 3 = 12 

Difference = 12 – 9 = 3

It is not divisible by 11.

Hence, 22222222 is divisible by 11.