Question
If 94*6714 is divisible by 11, where * is a digit, then
* is equal toSolution
A number is divisible by 11, if the difference between the sum of its digit at even places and the sum of its digits at odd places is either 0 or a number divisible by 11. ( 9 + * + 7 + 4 ) – ( 4 + 6 + 1 ) = 0 or multiple of 11 ⇒ 20 + * - 11 = 11 ⇒ * + 9 = 11 * = 11 - 9 = 2 * = 2
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