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.

ds - multiple difficult

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Master | Next Rank: 500 Posts
Posts: 118
Joined: Wed Mar 16, 2011 1:44 pmFollowed by: 2 members
Location: Canada
GMAT Score:530
by ccassel » Tue Apr 05, 2011 6:15 pm
Hi,

How would you explain the answer to this question?

If positive integer x is a multiple of 6 and positive integer y is a multiple of 14, is xy a multiple of 105?

(1) x is a multiple of 9
(2) y is a multiple of 25

Cheers,
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Data Sufficiency |
User avatar
Master | Next Rank: 500 Posts
Posts: 243
Joined: Sun Jul 12, 2009 7:12 amFollowed by: 2 members
Location: Dominican Republic
Thanked: 31 times
GMAT Score:480

by MAAJ » Tue Apr 05, 2011 7:11 pm
If positive integer x is a multiple of 6 and positive integer y is a multiple of 14, is xy a multiple of 105?

105 -> 3,5,7

x -> 2,3...?
y -> 2,7...?
SO xy -> 2,2,3,7...?

x or y has 5 in its prime factors?

(1) x is a multiple of 9
If x -> 2,3...? and x -> 3,3...?
THEN x -> 2,3,3...?
Not sufficient

(2) y is a multiple of 25
y -> 2,7...? and y -> 5,5...?
THEN y -> 2,5,5,7...?

If we combine x -> 2,3...? with y -> 2,5,5,7...?
We get xy -> 2,2,3,5,5,7...? which contains 3,5,7...? So xy is divisible by 105

IMHO [spoiler](B)[/spoiler]
ccassel wrote:Hi,

How would you explain the answer to this question?

If positive integer x is a multiple of 6 and positive integer y is a multiple of 14, is xy a multiple of 105?

(1) x is a multiple of 9
(2) y is a multiple of 25

Cheers,
Last edited by MAAJ on Tue Apr 05, 2011 7:31 pm, edited 1 time in total.
"There's a difference between interest and commitment. When you're interested in doing something, you do it only when circumstance permit. When you're committed to something, you accept no excuses, only results."
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY

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 » Tue Apr 05, 2011 7:31 pm
ccassel wrote:Hi,

How would you explain the answer to this question?

If positive integer x is a multiple of 6 and positive integer y is a multiple of 14, is xy a multiple of 105?

(1) x is a multiple of 9
(2) y is a multiple of 25

Cheers,

Solution:
Let us first consider (1) alone.
Take some examples.
Let x = 18 and y = 70.
So, x is a multiple of 6,9 and y is a multiple of 14.
Now, xy = 1260 = 105 * 12 which is a multiple of 105.
Next let x = 18 and y = 28.
So, x is a multiple of 6,9 and y is a multiple of 14.
But xy = 18 * 28 = 504 is not a multiple of 105.
So, we cannot say anything definite from (1) alone.
Or, (1) alone is not sufficient to answer the question.
Next consider (2) alone.
So, what we have is that x is a multiple of 6 and y is a multiple of 14,25.
So xy is a multiple of 3, 5 and 7.
Since 3, 5 and 7 have no factor in common apart from 1, we can safely assume that
xy is a multiple of 3*5*7 = 105.
Or, (2) alone is sufficient to answer the question.

The correct answer is (B).
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
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Master | Next Rank: 500 Posts
Posts: 436
Joined: Tue Feb 08, 2011 3:07 amFollowed by: 6 members
Thanked: 72 times

by manpsingh87 » Tue Apr 05, 2011 7:48 pm
ccassel wrote:Hi,

How would you explain the answer to this question?

If positive integer x is a multiple of 6 and positive integer y is a multiple of 14, is xy a multiple of 105?

(1) x is a multiple of 9
(2) y is a multiple of 25

Cheers,
x=6k; also y=14m; (k and m are integers)
105=3*5*7;
xy=84k*m;
now for xy to become multiple of 105 we must have either x or y as a multiple of 5.
1)not sufficient because x will be of the type 18t(i.e. multiple of both 6 and t);
therefore xy=18t*14m; here t and m are integers..!!
xy=252p here p is an intger.. now if p=1, then xy=252, if p=5 xy=1260; which is a multiple of 5 as here different answer are possible for different values of p, hence 1 is not sufficient to answer the question.

2)as y is also a multiple of 25 therefore y will be of the type 350t; and xy will be of the type 1050m, where m is an intger...!!!
now xy now is a multiple of 105, hence 2 alone is sufficient to answer the question..!!!!

hence B
O Excellence... my search for you is on... you can be far.. but not beyond my reach!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1