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Question 62

A certain number, when divided by 899, leaves a remainder 63. Find the remainder when the same number is divided by 29.

Solution
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Let's say N is our number
N = (899K + 63) or N = ($$29 \times 31$$K) + 63
So when it is divided by 29, remainder will be $$\frac{63}{29}$$ = 5

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