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 →

3x and 6/x are positive integers

Expert replies
Post new topic Post Reply
Previous Topic Next Topic

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 » Sun Jan 18, 2009 9:01 am
If 3x and 6/x are positive integers, what is the value of x?
(1) 6/x is an even integer
(2) 8/x is an integer greater than 10
Brent Hanneson - Creator of GMATPrepNow.com
Image
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Data Sufficiency |
User avatar
Site Admin
Posts: 2567
Joined: Thu Jan 01, 2009 10:05 amFollowed by: 550 members
Thanked: 712 times
GMAT Score:770

by DanaJ » Sun Jan 18, 2009 9:32 am
1. insufficient, since 6/3 = 2 and 6/1 = 6. Both 2 and 6 are even, so you would have at least two options for x.
2. 8/x is greater than 10 means x is smaller than 8/10 = 4/5. Since 3x is an integer, x is smth like a/3. For x to be smaller than 4/5, a has to be either 1 or 2. Both 8/(1/3) = 24 and 8/(2/3) = 12 are greater than 10. So 2 by itself is insufficient.

Now we need to check to see if both statements taken together are sufficient. Well, since from 2 we deducted that x can be either 1/3 or 2/3. We need to see which one fits "6/x is even".
6/1/3 = 18 - is even
6/2/3 = 1 - is odd.

So both statements taken together are sufficient.
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 » Sun Jan 18, 2009 9:47 am
Noce work - C it is.

3x is an integer means that x is greater than or equal to 1/3
6/x means that x is less than or equal to 6
Possible values for x: 1/3, 2/3, 1, 2, 3, 6

(1) Means that x can equal 1/3, 1 or 3 (INSUFF)
(2) Means that x can equal 1/3 or 2/3
(1) + (2) means that x = 1/3
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