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
Vote for Target Test Prep, Newsweek Readers’ Choice Awards 2026
NEWSWEEK READERS’ CHOICE 2026

BIG NEWS! Target Test Prep has been nominated, and they’d love your vote!

TTP has worked incredibly hard to build the best test prep experience possible, and winning Newsweek’s 2026 Readers’ Choice Award for Best Test Prep would mean a lot to them. If TTP has helped you, they’d be incredibly grateful for your vote. You can vote once each day through September 9.

Vote for TTP
GMATLiveTeach 7 seats left
Chris Peckover
NEXT LIVE COHORT

Oct 13 to Jan 7, 2027

with Chris Peckover

Schedule
Tue, Thu · 8:00 to 10:00 PM ET
Included
40 live hours + 6 months of GMAT OnDemand
  • Live instruction and real-time questions
  • Class recordings and assigned practice
View class & enroll
Limited cohort · enrollment openTarget Test Prep
EALiveTeach 5 seats left
Logan Thompson
EXECUTIVE ASSESSMENT

Sep 6 to Dec 6, 2026

with Logan Thompson

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
Limited cohort · enrollment openTarget 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.

If x is even and 90<= x <=100,what is the value of x?

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Master | Next Rank: 500 Posts
Posts: 447
Joined: Sun Apr 19, 2009 9:08 pm
Location: Kolkata,India
Thanked: 7 times
GMAT Score:670
by uptowngirl92 » Fri Jul 17, 2009 3:43 am
If x is even and 90<= x <=100,what is the value of x?
1. x and [fraction]x/2[/fraction] have the same distinct prime factors.
2.[fraction]x/2 has two prime factors[/fraction]
[spoiler=]Ans:c[/spoiler]

Guys my process is very cumbersome and time consuming plus I got jumbled up inbetween?Anyone has a better way and solve my querie?

Given x=even so x can be,90,92,94,96,98,100
Therfore,x/2=45,46,47,48,49,50 respectivly.

From 1,90=2x3x3x5 and 45=3x3x5.ELIMINATE for absence of 2.
92=2x2x23 and 46=2x23.POSSIBLE.
94=2x47 and 47=1x47.ELIMINATE.
Similiarly, we find the pair of 100 and 50 is also possible.
Hence,BCE is left.

From2,92 and 46 and 50 and 100,two pairs satisfy.

Now when we take both the statements combined how do we get the answer?100=2x2x5x5 and 50=2x5x5
50 has two prime factors namely 2 and 5 and both of the nos have the same distinct factors.
Confused!!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Data Sufficiency |
Master | Next Rank: 500 Posts
Posts: 379
Joined: Wed Jun 03, 2009 3:05 amFollowed by: 1 member
Thanked: 19 times
GMAT Score:690

by sreak1089 » Fri Jul 17, 2009 5:06 am
Statement # 1: x and x/2 have distinct prime factors

I see that 92, 96 and 100 each of them have same distinct
prime factors as 46, 48 and 50.
Hence, statement # 1 is NOT sufficient.

Statement # 2: x/2 has two prime factors.

49 (7 x 7) and 46 (2 x 23) satisfy statement # 2.
Hence, statement # 2 is NOT sufficient.

Combining statement # 1 and # 2, we are left with 92 as answer.
Hence C.

PS: I hope I am right :)
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 379
Joined: Wed Jun 03, 2009 3:05 amFollowed by: 1 member
Thanked: 19 times
GMAT Score:690

by sreak1089 » Fri Jul 17, 2009 7:13 am
Can anyone validate my reasoning here please?
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Master | Next Rank: 500 Posts
Posts: 157
Joined: Tue Oct 07, 2008 5:47 am
Thanked: 3 times

by PussInBoots » Sun Jul 19, 2009 10:00 pm
"x/2 has 2 prime factor"
46 has two prime factors: 2 and 23
48 has two prime factors: 2 and 3 (3*2^4)
50 has two prime factors: 2 and 5 (2 * 5^2)

Isn't wording in this problem wrong?
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 338
Joined: Fri Apr 17, 2009 1:49 amFollowed by: 3 members
Thanked: 9 times

by kaulnikhil » Sun Jul 19, 2009 10:36 pm
i guess the answer should be E. 92 and 96 satisfy both these condition ....
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 447
Joined: Sun Apr 19, 2009 9:08 pm
Location: Kolkata,India
Thanked: 7 times
GMAT Score:670

by uptowngirl92 » Thu Aug 20, 2009 4:28 pm
The ans in the book is "c"
However,I think there is difference when we say "prime factors" and "distinct prime factors"..can anyone clarify this?
eg,for this problem,combining the two statements:
92=2 * 23>>Two DISTINCT prime factors
96=2*2*2*2*3>>Again 2 and 3 are two prime factors..but are they distinct??Confused:(
100=5*5*2>>same problem as above.
Somebody pls clarify.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 260
Joined: Sun Oct 12, 2008 8:10 pm
Thanked: 4 times

by PAB2706 » Fri Aug 21, 2009 6:45 am
i dnt like the wording of this questions...is this an official question? if yes... no comments.

i guess this is y the answer might be C

we get 3 numbers satifying condition 1

92 prime factors = 23x4 46 = 23x2 (distinct facors are 23 and 2 )

96 prime factors = 3x2^5 48 = 3x2^4 (distinct factors are 2 and 3 )

100 prime factors 5x5x2x2 50 = 5x5x2 ( distinct factors 5 and 2 )

thus insufficient

statement 2 gives us two numbers 49 = 7x7 and 46 = 23x2

now statement 2 tells us that x/2 has two prime factors and stat 1 tells us that two prime factors are distinct...

thus only 23x2 satisfies condition
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 103
Joined: Mon May 04, 2009 11:53 am
Thanked: 6 times

by navalpike » Fri Aug 21, 2009 7:13 am
Can you please name the "book" from which you got this question?
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1