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

Redeem

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.

★★★★★5.0559 reviews
GMATLiveTeach Starts Oct 17
Chris Peckover, Target Test Prep GMAT expert
LIVE ONLINE CLASSES

Get Ready for GMAT Test Day Faster with Live Online Classes

with Chris Peckover, 100th-Percentile GMAT Scorer

Oct 17 · Chris Peckover
Sat · 11:00 AM to 2:00 PM ET
Oct 20 · Chris Peckover
Tue, Thu · 8:00 to 10:00 PM ET
Oct 25 · Josh Braslow
Sun · 1:00 to 4:00 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
EALiveTeachOnDemand 5 seats left Start anytime
EXECUTIVE ASSESSMENT

Target Test Prep EA OnDemand

Self-paced EA prep. Study on your schedule.

Logan Thompson
EXECUTIVE ASSESSMENT

Sep 6 to Dec 6, 2026

with Logan Thompson

165+ EA score guarantee
$05-day trial no automatic billing
Schedule
Sun · 9:30 AM to 12:30 PM ET
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
GMATOnDemand Start 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 559 reviewsTarget Test Prep

Compare the format, schedule, and included access before enrolling. Prices and seat counts shown reflect the supplied offer details.

remainder of a division

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Senior | Next Rank: 100 Posts
Posts: 65
Joined: Wed Mar 26, 2014 6:56 amFollowed by: 1 member
by lukaswelker » Tue Apr 01, 2014 1:58 am
here's the question:

What is the remainder when the positive integer x is divided by 3?

(1) when x is divided by 6, the remainder is 2.
(2) when x is divided by 15, the remainder is 2.

Both are sufficient but why?

Many thanks
Lukas
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Data Sufficiency |
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 » Tue Apr 01, 2014 2:58 am
lukaswelker wrote: What is the remainder when the positive integer x is divided by 3?

(1) when x is divided by 6, the remainder is 2.
(2) when x is divided by 15, the remainder is 2.
Statement 1: When x is divided by 6, the remainder is 2.
In other words, x is 2 more than a multiple of 6:
x = 6a + 2, where a is a nonnegative integer.
Options for x: 2, 8, 14, 20...

Dividing these option by 3, we get:
2/3 = 0 R2.
8/3 = 2 R2.
14/3 = 2 R2.
Since the remainder in each case is the same, SUFFICIENT.

Statement 2: When x is divided by 15, the remainder is 2.
In other words, x is 2 more than a multiple of 15:
x = 15a + 2, where a is a nonnegative integer.
Options for x: 2, 17, 32, 47...

Dividing these options by 3, we get:
2/3 = 0 R2.
17/3 = 5 R2.
32/3 = 10 R2.
Since the remainder in each case is the same, SUFFICIENT.

The correct answer is D.
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
Log in to postLogin with Googleuse password
QUOTE IN REPLY

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members
Location: Vancouver, BC
Thanked: 5254 times
GMAT Score:770

by Brent@GMATPrepNow » Tue Apr 01, 2014 6:52 am
lukaswelker wrote: What is the remainder when the positive integer x is divided by 3?

(1) when x is divided by 6, the remainder is 2.
(2) when x is divided by 15, the remainder is 2.
Target question: What is the remainder when the positive integer x is divided by 3?

IMPORTANT CONCEPT: Notice that 3 is a factor of 6 and 12. So, if some integer k is a multiple of 6, then k is also a multiple of 3. For example, since 102 is a multiple of 6, then 102 must also be a multiple of 3. Likewise, if some integer k is a multiple of 12, then k is also a multiple of 3.

Statement 1: when x is divided by 6, the remainder is 2
In other words, x is 2 greater than some multiple of 6. (e.g., x = 2, 8, 14, 20, etc)
Applying the green concept above, we can also say that x is 2 greater than some multiple of 3.
If x is 2 greater than some multiple of 3, then the remainder must be 2 when x is divided by 3
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: when x is divided by 12, the remainder is 2
In other words, x is 2 greater than some multiple of 12. (e.g., x = 2, 14, 26, etc)
Applying the green concept above, we can also say that x is 2 greater than some multiple of 3.
If x is 2 greater than some multiple of 3, then the remainder must be 2 when x is divided by 3
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer = D

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1