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Which of the following numbers is divisible by 11? (A) 1011011 (B) 1111111 (C) 22222222 (D) 3333333

  Which of the following numbers is divisible by 11? (A) 1011011 (B) 1111111 (C) 22222222 (D) 3333333

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
3 years ago
Dear Student

The rule to check the divisibility of a number by 11is,
find the difference between the sum of the digits at odd places (from the right) and the sum of the digits at even places (from the right) of the number.
If the difference is either 0 or divisible by 11, then the number is divisible by 11.
So,Checking all options, options C is correct
2–2 + 2 - 2 + 2–2 + 2–2 = 0
Thus, 22222222 is divisible by 11.

Thanks

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