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Question
A positive integer, when divided by 88, gives the remainder 61. What will be the remainder when the same number is divided by 11?
Solution
Let a (+ve) integer be x.
x = 88 × y + 61
61 = 11 × 5 + 6 ...(∵ 88 is multiple of 11)
∴ 6 is the remainder. (When the number is divided by 88 giving the remainder 61 and when divided by 11 giving the remainder 6).
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