GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 18 Oct 2019, 09:30

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.

Close

Request Expert Reply

Confirm Cancel

Is g < g^2 < g^3, for all real values of g?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Intern
Intern
User avatar
S
Joined: 07 May 2015
Posts: 41
Location: India
Schools: Darden '21
GPA: 4
CAT Tests
Is g < g^2 < g^3, for all real values of g?  [#permalink]

Show Tags

New post Updated on: 28 Sep 2018, 08:53
5
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

48% (01:55) correct 52% (01:45) wrong based on 40 sessions

HideShow timer Statistics

Is \(g< g^2 < g^3\), for all real values of \(g\)?

(1) \(g < g^3\)
(2) \(g^3 > g^2\)

Originally posted by reynaldreni on 28 Sep 2018, 07:37.
Last edited by Bunuel on 28 Sep 2018, 08:53, edited 1 time in total.
Renamed the topic and edited the question.
Math Expert
avatar
V
Joined: 02 Aug 2009
Posts: 7978
Re: Is g < g^2 < g^3, for all real values of g?  [#permalink]

Show Tags

New post 28 Sep 2018, 10:03
1
1
Is \(g< g^2 < g^3\), for all real values of \(g\)?

(1) \(g < g^3\)..
\(g^3-g>0......g(g^2-1)>0\)
So two cases..
1) g<0, then g^2<1.....so -1<g<0...then g^2>g^3>g
2) g>0, then g^2>1....so g>1...then g^3>g^2>g
Insufficient

(2) \(g^3 > g^2\)
g^3-g^2>0...g^2(g-1)>0
g^2>0, so g>1..
So g^3>g^2>g
Sufficient

B
_________________
Math Expert
avatar
V
Joined: 02 Aug 2009
Posts: 7978
Re: Is g < g^2 < g^3, for all real values of g?  [#permalink]

Show Tags

New post 28 Sep 2018, 10:07
reynaldreni wrote:
Is \(g< g^2 < g^3\), for all real values of \(g\)?

(1) \(g < g^3\)
(2) \(g^3 > g^2\)


Another way..
1) g<g^3
This happens in two cases..
a) g is between 0 to -1
Let g=-1/2..
So (-1/2)^2 >(-1/2)^3>(-1/2)
b) g >1
Say g=2
2^3>2^2>2
Insufficient

2) g^3>g^2
So g is positive and >1
Take any value and Ans will be yes
Sufficient

B
_________________
GMAT Club Bot
Re: Is g < g^2 < g^3, for all real values of g?   [#permalink] 28 Sep 2018, 10:07
Display posts from previous: Sort by

Is g < g^2 < g^3, for all real values of g?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne