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Re: If n divided by 35 has a remainder of 3, what is the remainder when n [#permalink]
1
If positive integer n divided by 35 has a remainder of 3

Dividend = Divisor * Quotient + Remainder

=> n = 35*k + 3 (where k is the quotient)
=> n = 35k + 3


What is the remainder when n is divided by 7?

=> Remainder of n by 7 = Remainder of 35k + 3 by 7
= Remainder of 35k by 7 + Remainder of 3 by 7
= 0 + 3 = 3

So, Answer will be 3
Hope it helps!

Watch the following video to MASTER Remainders

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