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 →

Pls help in solving this problem!!!!

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Source: — Problem Solving |

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 19, 2011 7:10 am
jayanti wrote:a positive integer x is multiplied by 2 and this product is then divided by 3. If the positive square root of the result of these two operations equals x, what is the value of x
x is multiplied by 2 = 2x
product is then divided by 3 = 2x/3, which is the result
√(2x/3) = x
2x/3 = x²
So, x² - 2x/3 = 0
x(x - 2/3) = 0
[spoiler]x = 0, 2/3, which is not possible [/spoiler]
Last edited by Anurag@Gurome on Tue Apr 19, 2011 7:12 am, edited 1 time in total.
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

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 19, 2011 7:11 am
jayanti wrote:a positive integer x is multiplied by 2 and this product is then divided by 3. If the positive square root of the result of these two operations equals x, what is the value of x
positive integer x is multiplied by 2 --> 2x

this product is then divided by 3 --> 2x/3

the positive square root of the result of these two operations equals x --> root[2x/3] = x

To solve for x, first square both sides --> 2x/3 = x^2

Multiply both sides by 3 --> 2x = 3x^2

This is a quadratic equation, so set the equation equal to zero --> 3x^2 - 2x = 0

Factor --> x(3x - 2) = 0

This means either x = 0 or 3x-2 = 0

x = 0 cannot be a solution since we are told that x is a positive integer

If 3x-2 = 0 then x = 2/3, but this cannot be a solution either since we are told that x is a positive integer

Did you enter the question correctly?
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