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Question
If 123123A4 is divisible by 11, find the value of A.
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Solution
Given, 12312344 is divisible by 11, then we have (1 + 3 + 2 + 4) – (2 + 1 + 3 + 4) is a multiple of 11.
i.e. (6 + 4) – 10 = 0, 11, 22,...
⇒ A – 4 = 0, 11, 22,...
⇒ A – 4 = 0 ...[A is a digit of the given number]
⇒ A = 4
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