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A positive integer, when divided by 88, gives the remainder 61. What will be the remainder when the same number is divided by 11?

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A positive integer, when divided by 88, gives the remainder 61. What will be the remainder when the same number is divided by 11?

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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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