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Question 73

If 123123A4 is divisible by 11, find the value of A.


Solution

Given, 123123A4 is divisible by 11. Then we have (1 + 3 + 2 + A) - (2 + 1 + 3 + 4) is a multiple of 11.
i.e.      (6 + A) - 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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