Mathematics

In 92*389, replace * by a digit so that the number formed is divisible by 11.

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Answer

In 92*389:

Digits from right: 9, 8, 3, *, 2, 9.

Sum of digits at odd places (from right) = 9 + 3 + 2 = 14.

Sum of digits at even places (from right) = 8 + * + 9 = 17 + *.

Difference = (17 + *) − 14 = 3 + *.

For divisibility by 11, 3 + * = 0 (impossible) or 3 + * = 11 ⇒ * = 8.

Hence, * should be replaced by 8. The number formed is 928389.

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