Question

Find the remainder without performing actual division when 45969 is divided by 11.

• A. 8
• B. 6
• C. 7
• D. 0

Answer 1

The correct option is D

0

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.

Consider the number 45969
Sum of the digits in odd places from the right side = 9 + 9 + 4 = 22

Sum of digits in even places from the right side = 5 + 6 = 11

Difference of the two sums = 22 - 11 = 11, which is divisible by 11.

Therefore, 45969 is divisible by 11. Hence, when 45969 is divided by 11, the remainder is zero.