Question

# Which of the following numbers is divisible by 11?

A
3,116,365
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B
991,221
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C
8,790,322
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D
311,136
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Solution

## The correct option is B 991,221To check divisibility by 11, check the number, if the difference of the sum of digits at odd places and the sum of its digits at even places, is either 0 or divisible by 11, then the number is divisible by 11. 3,116,365 : (5 + 3 + 1 + 3) - (6 + 6 + 1) = 1 ∴ It is not divisible by 11 991,221 : (1 + 2 + 9) - (2 + 1 + 9) = 0 ∴ It is divisible by 11 8,790,322 : (2 + 3 + 9 + 8) - (2 + 0 + 7) = 13 ∴ It is not divisible by 11 311,136 : (6 + 1 + 1) - (3 + 1 + 3) = 1 ∴ It is not divisible by 11

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