On dividing a number by 357, we get 39 as remainder. On dividing the same number 17, what will be the remainder?

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Accepted Answer

Let x be the number and y be the quotient. Then, x = 357 x y + 39 = (17 x 21 x y) + (17 x 2) + 5 = 17 x (21y + 2) + 5) ∴Required remainder = 5.

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