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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # If the remainder is 1 when the integer n is divided by 15, w  Question banks Downloads My Bookmarks Reviews Important topics
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Founder  Joined: 18 Apr 2015
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If the remainder is 1 when the integer n is divided by 15, w [#permalink]
Expert's post 00:00

Question Stats: 90% (00:24) correct 10% (00:00) wrong based on 10 sessions
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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Intern Joined: 26 Sep 2019
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Kudos [?]: 7 , given: 1

Re: If the remainder is 1 when the integer n is divided by 15, w [#permalink]
Can not be determined Intern Joined: 19 Sep 2019
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Kudos [?]: 25  , given: 4

Re: If the remainder is 1 when the integer n is divided by 15, w [#permalink]
1
KUDOS
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  Question banks Downloads My Bookmarks Reviews Important topics Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.