Question

Find the remainder without performing actual division when 58239 is divided by 11.

• A. 0
• B. 2
• C. 3
• D. 5

Answer 1

The correct option is D

5

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 58239
Sum of the digits in odd places from the right side = 9 + 2 + 5 = 16

Sum of digits in even places from the right side = 3 + 8 = 11

Difference of the two sums = 16 - 11 = 5, which is not divisible by 11.

Therefore, 58239 is not divisible by 11. Hence, when 58239 is divided by 11, the remainder is 5.