BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

is x^3 > y?

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 am
Location: India
Thanked: 267 times
Followed by:80 members
GMAT Score:760

is x^3 > y?

by sanju09 » Mon Mar 12, 2012 2:44 am
If x and y are positive, is x^3 > y?
(1) √x > y.
(2) x > y.
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
Top
Source: — Data Sufficiency |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3835
Joined: Fri Apr 02, 2010 10:00 pm
Location: Milpitas, CA
Thanked: 1854 times
Followed by:523 members
GMAT Score:770

by Anurag@Gurome » Mon Mar 12, 2012 6:23 am
sanju09 wrote:If x and y are positive, is x^3 > y?
(1) √x > y.
(2) x > y.
(1) √x > y
If x = 4, y = 1, then 2 > 1 and x^3 = 4^3 = 64 > 1. Here x^3 > y.
If x = 1/4, y = 1/3, then 1/2 > 1/3 and x^3 = 1/64. Here x^3 < y.
No definite answer; NOT sufficient.

(2) x > y
If x = 4, y = 1, then 4 > 1 and x^3 = 4^3 = 64 > 1. Here x^3 > y.
If x = 1/2, y = 1/3, then 1/2 > 1/3 and x^3 = 1/8. Here x^3 < y.
No definite answer; NOT sufficient.

Combining (1) and (2), If x = 4, y = 1, then √x > y and x > y. Here x^3 > y.
If x = 9/16, y = 1/2, then √x = 3/4. Here √x > y and x > y. Here x^3 < y.
No definite answer; NOT sufficient.

The correct answer is E.
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
Legendary Member
Posts: 581
Joined: Sun Apr 03, 2011 7:53 am
Thanked: 52 times
Followed by:5 members

by killer1387 » Mon Mar 12, 2012 6:26 am
IMO E
Top
User avatar
GMAT Instructor
Posts: 15539
Joined: Tue May 25, 2010 12:04 pm
Location: New York, NY
Thanked: 13060 times
Followed by:1906 members
GMAT Score:790

by GMATGuruNY » Mon Mar 12, 2012 7:17 pm
For a solution to a similar problem, check here:

https://www.beatthegmat.com/ds-inequalit ... 02609.html
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Top
Post new topic Post Reply
• Page 1 of 1