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If the remainder is 1 when the integer n is divided by 15, w

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If the remainder is 1 when the integer n is divided by 15, w [#permalink] New post 09 Oct 2019, 12:27
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If the remainder is 1 when the integer n is divided by 15, what is the remainder when n is divided by 5 ?

(A) 1

(B) 2

(C) 3

(D) 4

(E) It cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: If the remainder is 1 when the integer n is divided by 15, w [#permalink] New post 15 Oct 2019, 12:01
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Re: If the remainder is 1 when the integer n is divided by 15, w [#permalink] New post 18 Oct 2019, 09:38
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We can write any number N divided by D with quotient Q and remainder R as,
N = R + QD
In this case n is divided by 15 and leaves a reamainder 1. So,
n= 1 + 15Q
we can rewrite this as,
n= 1 + 5*3Q
n= 1 + 5*(3Q)
Now look at 5*3Q, that is saying that in the expression, 5 is the divisor and 3Q is the quotient and 1 is the remainder.
Thus we can conclude that when n is divided by 5 it also leaves remainder 1 with quotient being 3 times the quotient when divided by 15.
Re: If the remainder is 1 when the integer n is divided by 15, w   [#permalink] 18 Oct 2019, 09:38
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If the remainder is 1 when the integer n is divided by 15, w

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