Live GMAT classes with Target Test Prep start Nov 21 and Nov 22. First class free.

See classes
Target Test Prep · GMAT

Choose how you want to prepare

Learn live with an expert or move at your own pace. Every option includes the complete TTP study system.

Newsweek Readers’ Choice Awards 2026 winner: Target Test Prep, #1 Test Prep

Target Test Prep was voted #1 Best Test Prep in the 2026 Newsweek Readers’ Choice™ Awards.

★★★★★5.0563 reviews
GMATLiveTeachStarts Nov 22
Josh Braslow, Target Test Prep GMAT expert
LIVE ONLINE CLASSES

Get Ready for GMAT Test Day Faster with Live Online Classes

with Josh Braslow, 20+ years in test prep

Nov 22 · Josh Braslow
Sun · 9:30 AM to 12:30 PM ET
Included
40 hours of live online classes + 6 months of TTP OnDemand
  • Attend the first class for free
  • Every class is recorded, so you never fall behind
View classes & enroll
Limited seats availableTarget Test Prep
EALiveTeachOnDemandStart anytime
EXECUTIVE ASSESSMENT

Target Test Prep EA OnDemand

Self-paced EA prep. Study on your schedule.

EXECUTIVE ASSESSMENT

with

165+ EA score guarantee
$05-day trial no automatic billing
Schedule
Included
40 hours of live online classes plus six months of access to the complete TTP EA OnDemand course.
  • 165+ EA Score Guarantee
  • 4,100+ Quant, Verbal, and Integrated Reasoning practice questions
  • 400+ hours of in-depth video lessons
  • 3,000+ step-by-step video solutions
View EA class & enroll Start free 5-day trial
Limited cohort · enrollment openTrial includes full course accessTarget Test Prep
GMATOnDemandStart anytime
SELF-PACED MASTERCLASS

Target Test Prep GMAT OnDemand

Complete access from day one. Study on your schedule.

715+ score guarantee
$0to start then $127/mo
  • Personalized study plan and analytics
  • Thousands of lessons and practice questions
Start free 5-day trial
Read 563 reviewsTarget Test Prep

Remainders

Expert replies
Post new topic Post Reply
Subscribe topic
Previous Topic Next Topic
Junior | Next Rank: 30 Posts
Posts: 27
Joined: Sat Jan 28, 2012 8:22 amFollowed by: 1 member
by klaud » Thu Feb 02, 2012 12:55 pm
If M and N are positive integers that have remainders of 1 and 3, respectively, when divided by 6, which of the following could NOT be a possible value of M + N?

(A) 86
(B) 52
(C) 34
(D) 28
(E) 10

A
Top
Join the discussion
Source: — Problem Solving |
User avatar
GMAT Instructor
Posts: 15539
Joined: Tue May 25, 2010 12:04 pmFollowed by: 1906 members
Location: New York, NY
Thanked: 13060 times
GMAT Score:790

by GMATGuruNY » Thu Feb 02, 2012 1:36 pm
klaud wrote:If M and N are positive integers that have remainders of 1 and 3, respectively, when divided by 6, which of the following could NOT be a possible value of M + N?

(A) 86
(B) 52
(C) 34
(D) 28
(E) 10

A
M is 1 more than a multiple of 6: 6x + 1
N is 3 more than a multiple of 6: 6y + 3
Thus:
M+N = (6x + 1) + (6y + 3) = 6(x+y) + 4.
This means that M+N is 4 more than a multiple of 6.

The answer choices represent possible values of M+N.
For an answer choice to be a valid value of M+N, it must yield a multiple of 6 when 4 is subtracted.
The correct answer will NOT yield a multiple of 6 when 4 is subtracted.

(A) 86-4 = 82.
82 is not a multiple of 6.

The correct answer is A.

Every other answer choice yields a multiple of 6 when 4 is subtracted:

(B) 52-4 = 48.
(C) 34-4 = 30.
(D) 28-4 = 24.
(E) 10-4 = 6.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Top
Join the discussion
Master | Next Rank: 500 Posts
Posts: 116
Joined: Sat Sep 22, 2012 9:48 pm
Thanked: 3 times

by neeti2711 » Wed Mar 06, 2013 12:45 am
Shouldn't option (E) be considered the multiple of 6?
Top
Join the discussion

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3835
Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members
Location: Milpitas, CA
Thanked: 1854 times
GMAT Score:770

by Anurag@Gurome » Wed Mar 06, 2013 12:49 am
neeti2711 wrote:Shouldn't option (E) be considered the multiple of 6?
Are you trying to say 10 is multiple of 6?
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
Top
Join the discussion
Master | Next Rank: 500 Posts
Posts: 116
Joined: Sat Sep 22, 2012 9:48 pm
Thanked: 3 times

by neeti2711 » Thu Mar 07, 2013 7:45 am
4 when subtracted from 10 yields 6 which is a multiple of 6.. (6*1)..this is the reasoning.. is it wrong?
Top
Join the discussion

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3835
Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members
Location: Milpitas, CA
Thanked: 1854 times
GMAT Score:770

by Anurag@Gurome » Thu Mar 07, 2013 7:52 am
neeti2711 wrote:4 when subtracted from 10 yields 6 which is a multiple of 6.. (6*1)..this is the reasoning.. is it wrong?
No, that is correct.
But the question asks "...which of the following could NOT be a possible value of M + N?"
And as Mitch has shown, (M + N) will be 4 more than a multiple of 6. Hence, the correct option should NOT yield a multiple of 6 when 4 is subtracted from it.

As 10 yields a multiple of 6 when 4 is subtracted from it, 10 is not the correct answer.

Hope that helps.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
Top
Join the discussion
Newbie | Next Rank: 10 Posts
Posts: 7
Joined: Mon Mar 11, 2013 5:33 am

by saurav.jha » Mon Mar 11, 2013 6:14 am
Let M be 6k1 + 1
and N be 6k2 + 3
So M+N shall be 6(k1+k2) + 4 or 6K + 4
Means the number M+N shall be multiple of 6 when 4 is subtracted from M+N
only 86 is the number above 86-4=82 not a multiple of 6.
Top
Join the discussion