Discussion

On dividing a certain number by 357, the remainder is 39. On dividing the same number by 17, what will be the remainder?

Answer: C

Let the number be N. According to the division algorithm, N = Divisor × Quotient + Remainder.

N = 357k + 39, where k is the quotient.

We need to find the remainder when N is divided by 17.

N = (17 × 21)k + (17 × 2 + 5) = 17 × 21k + 17 × 2 + 5.

N = 17(21k + 2) + 5.

So, when the number is divided by 17, the remainder is 5.

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