It is currently 12 Dec 2018, 07:11
My Tests

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

The remainder when m + n is divided by 12 is 8, and the rema

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Moderator
Moderator
User avatar
Joined: 18 Apr 2015
Posts: 5150
Followers: 77

Kudos [?]: 1030 [0], given: 4640

CAT Tests
The remainder when m + n is divided by 12 is 8, and the rema [#permalink] New post 14 Apr 2018, 02:42
Expert's post
00:00

Question Stats:

61% (02:27) correct 38% (01:33) wrong based on 13 sessions
The remainder when m + n is divided by 12 is 8, and the remainder when m - n is divided by 12 is 6. If \(m > n\), then what is the remainder when mn divided by 6?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
[Reveal] Spoiler: OA

_________________

Get the 2 FREE GREPrepclub Tests

2 KUDOS received
Director
Director
User avatar
Joined: 07 Jan 2018
Posts: 553
Followers: 4

Kudos [?]: 477 [2] , given: 84

CAT Tests
Re: The remainder when m + n is divided by 12 is 8, and the rema [#permalink] New post 20 Apr 2018, 04:05
2
This post received
KUDOS
List few members for \(m + n\). for eg. \({8, 20, 32}\)
List few members for the set \(m-n\). for eg. \({6,18,30}\)

now make a equation by chosing any pair of values

\(m+n = 8...........i\)
\(m-n = 6...........ii\)

subtracting eqn \(ii\) from \(i\) we get,
\(2n =2 or n =1\)

Putting \(n =1\) in eqn \(i\) we get \(m + 1 = 8 or m = 7\)
therefore\(m*n = 7\)
\(\frac{7}{6}\) gives a remainder of \(1\)
option A
_________________

This is my response to the question and may be incorrect. Feel free to rectify any mistakes

1 KUDOS received
Intern
Intern
Joined: 28 Nov 2017
Posts: 44
Followers: 1

Kudos [?]: 30 [1] , given: 22

Re: The remainder when m + n is divided by 12 is 8, and the rema [#permalink] New post 20 Apr 2018, 21:47
1
This post received
KUDOS
A. 1

Solution :
m+n = 12a + 8 (i)
m-n = 12b+ 6 (ii)

Add the Eqn.
m = 6(a+b) + 7

put m in any eqn. and you get n = 6(a-b)+1

multiply m*n = 6* Some Integer + 7

So remainder will be decided by 7

7/6 remainder = 1
1 KUDOS received
Manager
Manager
Joined: 29 Nov 2017
Posts: 190
Location: United States
GRE 1: Q142 V146
WE: Information Technology (Computer Software)
Followers: 0

Kudos [?]: 77 [1] , given: 99

Re: The remainder when m + n is divided by 12 is 8, and the rema [#permalink] New post 24 Apr 2018, 09:46
1
This post received
KUDOS
I simply solved it by the following method,

m+n = 12q +8 equation 1

m-n = 12q +6 equation 2


since we know that to a find range of equation 1 and equation 2 we need to apply the following rule

1 ---> 12 * 1 + 8 = 20
12 * 2 + 8 = 32
12 * 3 + 8 = 44
12 * 4 + 8 = 56----etc

2 12 * 1 + 6 = 18
12 * 2 + 6 = 30
12 * 3 + 6 = 42
12 * 4 + 6 = 52

now we can use the first values of the above lists 20 * 18 =360/6 leads to 60 remainder 1 and can check with other values as well -- so the answer is A
Re: The remainder when m + n is divided by 12 is 8, and the rema   [#permalink] 24 Apr 2018, 09:46
Display posts from previous: Sort by

The remainder when m + n is divided by 12 is 8, and the rema

  Question banks Downloads My Bookmarks Reviews Important topics  


GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

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®.