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 →

Data Sufficiency - Yes/No

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Senior | Next Rank: 100 Posts
Posts: 65
Joined: Mon Mar 07, 2011 12:27 am
Thanked: 6 times
by 6983manish » Sat Apr 14, 2012 9:19 am
Is sqrt(x-3)^2 = 3-x ?

1. x not equal to 3
2. -x|x| >0

My approach :

Simplifying given statement -> x-3 = 3-x -> x=3
Hence, question is Is x=3? ( Am I wrong till now ? )

Option 1 : x not equal to 3.... it gives me answer as NO.
Option 2 : -x|x| > 0 means x is negative => not equal to 3.

Since, both gives me an answer E should be right.
But OA is B

Please help me understand this.[/list]
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Data Sufficiency |
Legendary Member
Posts: 581
Joined: Sun Apr 03, 2011 7:53 amFollowed by: 5 members
Thanked: 52 times

by killer1387 » Sat Apr 14, 2012 11:06 am
6983manish wrote:Is sqrt(x-3)^2 = 3-x ?

1. x not equal to 3
2. -x|x| >0

My approach :

Simplifying given statement -> x-3 = 3-x -> x=3
Hence, question is Is x=3? ( Am I wrong till now ? )

Option 1 : x not equal to 3.... it gives me answer as NO.
Option 2 : -x|x| > 0 means x is negative => not equal to 3.

Since, both gives me an answer E should be right.
But OA is B

Please help me understand this.[/list]
the part in boldface is wrong ;

sqrt(x-3)^2 SHOULD NOT BE NEGATIVE and the question asks if it is 3-x that means 3-x >=0 i.e. x <=3

hence the question is ;
Is x <=3 ?

statement 1) INSUFF

statement 2)
for x>0
-x^2>0 not possible

for x<0
x^2 >0 true

=> x<0 i.e. x<3

SUFFICIENT

HENCE B

hope this helps..!!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Master | Next Rank: 500 Posts
Posts: 134
Joined: Fri Apr 06, 2012 3:11 amFollowed by: 5 members
Thanked: 35 times

by Shalabh's Quants » Sat Apr 14, 2012 11:28 am
6983manish wrote:Is sqrt(x-3)^2 = 3-x ?

1. x not equal to 3
2. -x|x| >0

My approach :

Simplifying given statement -> x-3 = 3-x -> x=3
Hence, question is Is x=3? ( Am I wrong till now ? )

Option 1 : x not equal to 3.... it gives me answer as NO.
Option 2 : -x|x| > 0 means x is negative => not equal to 3.

Since, both gives me an answer E should be right.
But OA is B

Please help me understand this.[/list]
i think that this problem should be simplified as

=> Is |x-3| = 3-x ?

Stat. 1...

x can surely have 0 value, but it does not help in concluding |x-3| = 3-x or not. Not Suff.

Stat. 2...

by observing |x-3| = 3-x, we can say that if x takes values less than 3, then |x-3| = 3-x holds true. If x > 3, then its not.

Pl. plug in few extreme values of x such as x = 4, 3, -4 etc. in -x|x| >0, we can conclude that stat. 2 if suff.

Ans. B.
Shalabh Jain,
e-GMAT Instructor
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1