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Carcass

Verbal Expert

Joined: 18 Apr 2015

Posts: 21031

x < 0 [#permalink]

Updated on: 27 Dec 2018, 09:47

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00:00

Question Stats:

61% (00:27) correct

38% (00:27) wrong

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This question is part of GREPrepClub - The Questions Vault Project

\(x < 0\)

Quantity A	Quantity B
\(x^2 - x^5\)	\(0\)

A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given

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Originally posted by Carcass on 16 Apr 2018, 15:08.
Last edited by Carcass on 27 Dec 2018, 09:47, edited 2 times in total.

Edited the OA

IshanGre

Manager

Joined: 29 Nov 2017

Posts: 190

Location: United States

GRE 1: Q142 V146

WE:Information Technology (Computer Software)

Re: x < 0 [#permalink]

Updated on: 16 May 2018, 05:40

if X is negative then if we suppose entity A will be over all positive then A is greater than B.

Originally posted by IshanGre on 16 May 2018, 02:07.
Last edited by IshanGre on 16 May 2018, 05:40, edited 1 time in total.

sandy

Retired Moderator

Joined: 07 Jun 2014

Posts: 4805

GRE 1: Q167 V156

WE:Business Development (Energy and Utilities)

Re: x < 0 [#permalink]

16 May 2018, 03:03

Expert Reply

IshanGre wrote:

if X is negative the if we suppose entity A will be over all positive then A is greater than B.

This is actually a tricky question

Given that x<0

Quantity A: \(x^2-x^5 = x^2(1-x^3)\) now \(x^2\) is always positve as \(x \neq 0\) but \(1-x^3\) may or maynot be positive.

If \(|x| > 0\) then \(1-x^3\) is negative.

Try plugging values: \(x=-0.5\)

Quanity A: 0.21875 here quantity A is greater.

\(x=-1.5\)

Quanity A: -5.34375 here quantity B is greater.

Hence the correct option is D.
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Emike56

Intern

Joined: 08 Apr 2018

Posts: 44

Re: x < 0 [#permalink]

16 May 2018, 11:38

sandy wrote:

IshanGre wrote:

if X is negative the if we suppose entity A will be over all positive then A is greater than B.

Hi Sandy, if the correct answer is D, can you please update the Reveal Answer to D? It is still A.

adeel

Intern

Joined: 15 May 2018

Posts: 38

Re: x < 0 [#permalink]

01 Jul 2018, 21:23

Carcass wrote:

\(x < 0\)

Quantity A	Quantity B
\(x^2 - x^5\)	\(0\)

A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given

answer must be a in all cases