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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # When m + n is divided by 9, the remainder is 1. If m is divi  Question banks Downloads My Bookmarks Reviews Important topics
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TAGS: Director  Joined: 07 Jan 2018
Posts: 604
Followers: 7

Kudos [?]: 546  , given: 88

When m + n is divided by 9, the remainder is 1. If m is divi [#permalink]
1
KUDOS 00:00

Question Stats: 100% (00:10) correct 0% (00:00) wrong based on 5 sessions
When m + n is divided by 9, the remainder is 1. If m is divisible by 9, which of the following could equal the sum of the digits of n ?

(A)34
(B)35
(C)36
(D)37
(E)38
[Reveal] Spoiler:
D
Intern Joined: 17 Jul 2017
Posts: 15
Followers: 0

Kudos [?]: 7 , given: 13

Re: When m + n is divided by 9, the remainder is 1. If m is divi [#permalink]
how do i solve this?
Manager Joined: 03 Dec 2017
Posts: 65
Followers: 0

Kudos [?]: 16 , given: 20

Re: When m + n is divided by 9, the remainder is 1. If m is divi [#permalink]
honestly don't understand the question, please explain and really need solution! thank you!
Director  Joined: 07 Jan 2018
Posts: 604
Followers: 7

Kudos [?]: 546 , given: 88

Re: When m + n is divided by 9, the remainder is 1. If m is divi [#permalink]
Official ANS According to GRE Tutor Economist: Don't understand the explanation

In order for the remainder to be 1 when m + n is divided by 9, the remainders when m and n are divided by 9 should add up to 1.

Since you know that m is divisible by 9, it follows that its remainder must be 0 when divided by 9.

So, you needed to find an answer choice stating that when n is divided by 9, the remainder is 1.
The first thing to recall here is the Rule of Divisibility by 9 states that a number is divisible by 9 if its sum is divisible by 9. In fact, the remainder you get when dividing the sum of the digits of a number by 9 will be the same remainder obtained by dividing the original number by 9.

Out of the answer choices given, only 37 works since the remainder when dividing 37 by 9 is 1.
Moderator  Joined: 18 Apr 2015
Posts: 5917
Followers: 96

Kudos [?]: 1158 , given: 5488

Re: When m + n is divided by 9, the remainder is 1. If m is divi [#permalink]
Expert's post

On one hand, m+n divided by 9 and remainder is 1 is for instance 10.

But the question ask for the sum of n and m is divisible by 9. it should be the sum of m+n NOT n.

In fact, m+n= 36 is divisible by 9 and + 1 you do have 1 as remainder.

Hope this helps.

Regards
_________________ Re: When m + n is divided by 9, the remainder is 1. If m is divi   [#permalink] 15 Jan 2018, 05:28
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# When m + n is divided by 9, the remainder is 1. If m is divi  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®.