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Question
A four-digit number abcd is divisible by 11, if d + b = ______ or ______.
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Solution
A four-digit number abcd is divisible by 11, if d + b = a + c or 12(a + c).
Explanation:
We know that, a number is divisible by 11, if the difference between the sum of digits at odd places and the sum of its digits at even places is either 0 or a multiple of 11.
Hence, abcd is divisible by 11, if (d + b) – (a + c) = 0, 11, 22, 33, ...
⇒ d + b = a + c or d + b = 12(a + c)
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