• NEW! FREE Beat The GMAT Quizzes
Hundreds of Questions Highly Detailed Reporting Expert Explanations
• 7 CATs FREE!
If you earn 100 Forum Points

Engage in the Beat The GMAT forums to earn
100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## If -1 < x < 0 and 0 < y < 1, which of the foll tagged by: BTGmoderatorLU ##### This topic has 2 expert replies and 0 member replies ### Top Member ## If -1 < x < 0 and 0 < y < 1, which of the foll $$If\ \ -1 < x < 0\ \ and\ \ 0 < y < 1,$$ which of the following has the least value? $$A.\ \ \frac{x}{y}$$ $$B.\ (x/y)^2$$ $$C.\ \ \frac{x^2}{y}$$ $$D.\ \ \frac{x^3}{y}$$ $$E.\ \frac{x^2}{y^3}$$ The OA is A. I know the answer. I just have one confusion as to how a negative sign to the power 3 could be greater than the negative sign to the power 1. Just as in this question it is implied that -x <-x^3. If you do it simply isn't -3 > (-3)^3. Kindly can any expert help clarify my confusion. Thanks! ### GMAT/MBA Expert Legendary Member Joined 14 Jan 2015 Posted: 2667 messages Followed by: 122 members Upvotes: 1153 GMAT Score: 770 LUANDATO wrote: $$If\ \ -1 < x < 0\ \ and\ \ 0 < y < 1,$$ which of the following has the least value? $$A.\ \ \frac{x}{y}$$ $$B.\ (x/y)^2$$ $$C.\ \ \frac{x^2}{y}$$ $$D.\ \ \frac{x^3}{y}$$ $$E.\ \frac{x^2}{y^3}$$ The OA is A. I know the answer. I just have one confusion as to how a negative sign to the power 3 could be greater than the negative sign to the power 1. Just as in this question it is implied that -x <-x^3. If you do it simply isn't -3 > (-3)^3. Kindly can any expert help clarify my confusion. Thanks! Well, yes, -3 > (-3)^3, but given the constraints of the question, x can't be -3! If x is between 0 and -1, then when we cube it, the result will be less negative. If x = -1/2, for example, then (-1/2)^3 = -1/8, and (-1/2) < (-1/8) To summarize, if we cube a number less than negative one, the result will be more negative. If we cube a number between -1 and 0, the result will be less negative. _________________ Veritas Prep | GMAT Instructor Veritas Prep Reviews Save$100 off any live Veritas Prep GMAT Course

Enroll in a Veritas Prep GMAT class completely for FREE. Wondering if a GMAT course is right for you? Attend the first class session of an actual GMAT course, either in-person or live online, and see for yourself why so many students choose to work with Veritas Prep. Find a class now!

### GMAT/MBA Expert

Elite Legendary Member
Joined
23 Jun 2013
Posted:
10197 messages
Followed by:
496 members
2867
GMAT Score:
800
Hi LUANDATO,

We're told that -1 < X < 0 and 0 < Y < 1. We're asked for the answer that has the LEAST value. This question can be solved with Number Property rules or by TESTing VALUES.

IF...
X = -1/2
Y = +1/2

Answer B: [(-1/2)(1/2)]^2 = (-1)^2 = +1
Answer D: [(-1/2)^3]/(1/2) = (-1/8)/(1/2) = -1/16
Answer E: [(-1/2)^2]/[(1/2)^3] = (1/4)/(1/8) = +2

GMAT assassins aren't born, they're made,
Rich

_________________
Contact Rich at Rich.C@empowergmat.com

• Free Practice Test & Review
How would you score if you took the GMAT

Available with Beat the GMAT members only code

• Free Veritas GMAT Class
Experience Lesson 1 Live Free

Available with Beat the GMAT members only code

• 1 Hour Free
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• Get 300+ Practice Questions

Available with Beat the GMAT members only code

• Free Trial & Practice Exam
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• 5-Day Free Trial
5-day free, full-access trial TTP Quant

Available with Beat the GMAT members only code

• Award-winning private GMAT tutoring
Register now and save up to $200 Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

Available with Beat the GMAT members only code

• Magoosh
Study with Magoosh GMAT prep

Available with Beat the GMAT members only code

### Top First Responders*

1 Ian Stewart 57 first replies
2 Brent@GMATPrepNow 31 first replies
3 Jay@ManhattanReview 29 first replies
4 GMATGuruNY 20 first replies
5 ceilidh.erickson 15 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

### Most Active Experts

1 Scott@TargetTestPrep

Target Test Prep

211 posts
2 Max@Math Revolution

Math Revolution

88 posts
3 Brent@GMATPrepNow

GMAT Prep Now Teacher

70 posts
4 Ian Stewart

GMATiX Teacher

65 posts
5 GMATGuruNY

The Princeton Review Teacher

39 posts
See More Top Beat The GMAT Experts