BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

Remainders.

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Legendary Member
Posts: 1077
Joined: Mon Dec 13, 2010 1:44 amFollowed by: 33 members
Thanked: 118 times
GMAT Score:710
by bblast » Wed Jan 12, 2011 9:08 pm
What number leaves a remainder of 1,2 and 4 when divided by 6,7 and 9 respectively.


OA in some time.
Cheers !!

Quant 47-Striving for 50
Verbal 34-Striving for 40

My gmat journey :
https://www.beatthegmat.com/710-bblast-s ... 90735.html
My take on the GMAT RC :
https://www.beatthegmat.com/ways-to-bbla ... 90808.html
How to prepare before your MBA:
https://www.youtube.com/watch?v=upz46D7 ... TWBZF14TKW_
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 1179
Joined: Sun Apr 11, 2010 9:07 pmFollowed by: 88 members
Location: Milpitas, CA
Thanked: 447 times

by Rahul@gurome » Wed Jan 12, 2011 10:04 pm
LCM of 6, 7, and 9 = 126
126 - 5 = 121

The correct answer is 121.
Rahul Lakhani
Quant Expert
Gurome, Inc.
https://www.GuroMe.com
On MBA sabbatical (at ISB) for 2011-12 - will stay active as time permits
1-800-566-4043 (USA)
+91-99201 32411 (India)
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Master | Next Rank: 500 Posts
Posts: 261
Joined: Wed Mar 31, 2010 8:37 pmFollowed by: 3 members
Location: Varanasi
Thanked: 11 times

by ankur.agrawal » Wed Jan 12, 2011 11:13 pm
Rahul@gurome wrote:LCM of 6, 7, and 9 = 126
126 - 5 = 121

The correct answer is 121.

Plz give details.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 1179
Joined: Sun Apr 11, 2010 9:07 pmFollowed by: 88 members
Location: Milpitas, CA
Thanked: 447 times

by Rahul@gurome » Thu Jan 13, 2011 3:02 am
Ideally the question should ask for the smallest positive number.
Let the smallest positive number be N.
So N = 6*x + 1.
N = 7*y + 2.
N = 9*z + 4.
Here x, y and z are integers.
So N+5 = 6(x+1) = 7*(y+2) = 9*(z+2).
So N+5 is the L.C.M of 6, 7 and 9 which is 126.
Or N = 126 - 5 = 121.
Rahul Lakhani
Quant Expert
Gurome, Inc.
https://www.GuroMe.com
On MBA sabbatical (at ISB) for 2011-12 - will stay active as time permits
1-800-566-4043 (USA)
+91-99201 32411 (India)
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Junior | Next Rank: 30 Posts
Posts: 13
Joined: Fri Jan 07, 2011 9:17 pm

by nehatandon » Sat Jan 15, 2011 3:02 pm
Rahul@gurome wrote:Ideally the question should ask for the smallest positive number.
Let the smallest positive number be N.
So N = 6*x + 1.
N = 7*y + 2.
N = 9*z + 4.
Here x, y and z are integers.
So N+5 = 6(x+1) = 7*(y+2) = 9*(z+2).
So N+5 is the L.C.M of 6, 7 and 9 which is 126.
Or N = 126 - 5 = 121.
Can you please explain the part in bold ?
Thanks.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
GMAT Instructor
Posts: 1035
Joined: Fri Dec 17, 2010 11:13 amFollowed by: 365 members
Location: Los Angeles, CA
Thanked: 474 times

by VivianKerr » Sat Jan 15, 2011 4:36 pm
Hi there! Even if you didn't use algebra, you could solve using logic.

A number that have a remainder of 1 when divided by 6 must be a multiple of 6, with 1 added to it.

A number that has a remainder of 2 when divided by 7, must be a multiple of 7, with 2 added to it.

A number that has a remainder of 4 when divided by 9, must be a multiple of 9, with 4 added to it.

Let's start with the lowest common multiple of 6, 7, and 9.

6 = 2 x 3
7 = 1 x 7
9 = 3 x 3

LCM: 2 x 3 x 7 x 3 = 126

Now let's look at the remainders: 1, 2, and 4. We'll need a remainder of at least 4, so let's take away 4 from the LCM.

126 - 4 = 122

When we try 122, we see that it's slightly too big.

Since 122/9 = Remainder of 5 (we want only a remainder of 4).

Let's go one down, to 121.

121 works for all 3 numbers!
Vivian Kerr
GMAT Rockstar, Tutor
https://www.GMATrockstar.com
https://www.yelp.com/biz/gmat-rockstar-los-angeles

Former Kaplan and Grockit instructor, freelance GMAT content creator, now offering affordable, effective, Skype-tutoring for the GMAT at $150/hr. Contact: [email protected]

Thank you for all the "thanks" and "follows"! :-)
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1