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Question
In the following number, replace M by the smallest number to make resulting number divisible by 11: 14M75
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Solution
The given number = 14M75
Sum of its digit in odd places = 1 + M + 5 = M + 6
Sum of its digit in even places = 4 + 7 = 11
11 – (M + 16) = 0
11 = M + 6
11 – 6 = M
M = 5
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