NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 13:09 It is currently 26 Apr 2024, 13:09
Decision Tracker
My Rewards
New posts
New comers' posts

Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

Is a^3 > a^2 ? (1) 1/a > a (2) a^5 > a^3

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
D
vaibhav1221
Senior Manager
Senior Manager
Joined: 19 Nov 2017
Posts: 300
Own Kudos [?]: 306 [4]
Given Kudos: 50
Location: India
Schools: IIMA '25 (A) Columbia CBS'26 (D) Fuqua '26 (D) ISB '25 (WL) Darden '26 (D) Kenan-Flagler '26 (WL)
GMAT 1: 710 Q49 V38
GPA: 3.25
WE:Account Management (Advertising and PR)
Send PM
Is a^3 > a^2 ? (1) 1/a > a (2) a^5 > a^3 [#permalink] New post   09 Aug 2018, 06:25
1
Kudos
3
Bookmarks
00:00
A
B
C
D
E

Difficulty:

65% (hard)

Question Stats:

53% (02:01) correct 47% (02:06) wrong based on 96 sessions
Hide Show timer Statistics
Is \(a^3>a^2\)?


(1) \(\frac{1}{a} > a\)

(2) \(a^5>a^3\)
ShowHide Answer
Official Answer
A
avatar
P
rocky620
Retired Moderator
Joined: 10 Nov 2018
Posts: 538
Own Kudos [?]: 437 [3]
Given Kudos: 229
Location: India
Concentration: General Management, Strategy
Schools: IIMA PGPX'22 IIMB EPGP'22 IIMC PGPEX'22 ISB'22
GMAT 1: 590 Q49 V22
WE:Other (Retail)
Send PM
Re: Is a^3 > a^2 ? (1) 1/a > a (2) a^5 > a^3 [#permalink] New post   05 Nov 2019, 00:27
3
Kudos
PKN how did you arrive Or, a2(a+1)(a−1)>0
User avatar
D
PKN
Director
Director
Joined: 01 Oct 2017
Status:Learning stage
Posts: 827
Own Kudos [?]: 1300 [1]
Given Kudos: 41
WE:Supply Chain Management (Energy and Utilities)
Send PM
Re: Is a^3 > a^2 ? (1) 1/a > a (2) a^5 > a^3 [#permalink] New post   09 Aug 2018, 07:22
1
Kudos
vaibhav1221 wrote:
Is \(a^3>a^2\)?

1. \(\frac{1}{a} > a\)

2. \(a^5>a^3\)


Re-phrasing question stem:-
\(a^3>a^2\)
Or, \(a^3-a^2>a^2-a^2\)
Or, \(a^2(a-1)>0\)
Or, \(a^2(a+1)(a-1)>0\)
Or, \(a>1\)

Re-phrased question stem:- Is a>1 ?

St1:- \(\frac{1}{a} > a\)
Or, \(\frac{1}{a}-a>a-a\)
Or, \(\frac{1-a^2}{a}>0\)
Or, \(\frac{-(a-1)(a+1)}{a}>0\)
Or, \(a<-1\) or, \(0<a<1\) (Answer to question stem is No)

Sufficient.

St2:- \(a^5>a^3\)
Or, \(a^5-a^3>a^3-a^3\)
Or, \(a^3(a^2-1)>0\)
Or, \(a^3(a-1)(a+1)>0\)
Or, \(-1<a<0\) or,\(a>1\)
Insufficient.

Ans. (A)
User avatar
D
GMATGuruNY
Tutor
Joined: 04 Aug 2010
Posts: 1315
Own Kudos [?]: 3136 [0]
Given Kudos: 9
Schools:Dartmouth College
Send PM
Is a^3 > a^2 ? (1) 1/a > a (2) a^5 > a^3 [#permalink] New post   03 May 2023, 05:10
Expert Reply
vaibhav1221 wrote:
Is \(a^3>a^2\)?


(1) \(\frac{1}{a} > a\)

(2) \(a^5>a^3\)


Each statement indicates that \(a\) is NONZERO, with the result that \(a^4\) is POSITIVE.

In S1, if we multiply both sides by \(a^4\), we get:
\(a^4 * \frac{1}{a} > a * a^4\)
\(a^3 > a^5\)

The resulting inequality contradicts S2, which states that \(a^5 > a^3\).
Implication:
This problem is invalid.
On the GMAT, the two statements cannot contradict each other.
What is the source of this problem?
GMAT Club Bot
gmatclubot
Is a^3 > a^2 ? (1) 1/a > a (2) a^5 > a^3 [#permalink]
03 May 2023, 05:10
Moderator:
Bunuel
Math Expert
92948 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions