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

It is currently 14 Oct 2019, 22:08

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

Which of the following could be true if x is a negative integer?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Director
Director
avatar
V
Joined: 18 Feb 2019
Posts: 580
Location: India
GMAT 1: 460 Q42 V13
GPA: 3.6
Which of the following could be true if x is a negative integer?  [#permalink]

Show Tags

New post 29 Mar 2019, 12:33
1
4
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

35% (01:32) correct 65% (01:34) wrong based on 51 sessions

HideShow timer Statistics

Which of the following could be true if x is a negative integer?

I. 0<x^x<1
II. -1<x^x<0
III. x^x > 1

A. I only
B. II Only
C. III Only
D. I and II
E. I, II and III
Math Expert
avatar
V
Joined: 02 Aug 2009
Posts: 7958
Re: Which of the following could be true if x is a negative integer?  [#permalink]

Show Tags

New post 29 Mar 2019, 17:06
1
Which of the following could be true if x is a negative integer?

I.\(0<x^x<1\)..... x is a negative number, so any even value will be ok... example \((-2)^{-2}=(\frac{1}{-2})^2=\frac{1}{4}\), similarly \(-4^{-4}...(-6)^{-6}\)
II. \(-1<x^x<0\)..... x is a negative number, so any odd value will be ok... example \((-3)^{-3}=(\frac{1}{-3})^3=\frac{-1}{27}\), similarly \((-5)^{-5}...(-7)^{-7}\)
We have seen the possible cases when x is a negative integer.... -1 will give \(x^x\) as 1, which does not fit in anywhere in the options. If it is odd, II is true and if it is even, option I is true.

III. x^x > 1.. This will NEVER be true, as x as negative integer will always give value as fraction, except as 1 or -1

D
_________________
GMAT Club Legend
GMAT Club Legend
User avatar
D
Joined: 18 Aug 2017
Posts: 4987
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member
Re: Which of the following could be true if x is a negative integer?  [#permalink]

Show Tags

New post 30 Mar 2019, 01:03
kiran120680 wrote:
Which of the following could be true if x is a negative integer?

I. 0<x^x<1
II. -1<x^x<0
III. x^x > 1

A. I only
B. II Only
C. III Only
D. I and II
E. I, II and III


test with value of x= -2 and -1/2
option 1 & 2 stands correct
IMO D
_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.
Senior Manager
Senior Manager
avatar
G
Joined: 25 Feb 2019
Posts: 336
Re: Which of the following could be true if x is a negative integer?  [#permalink]

Show Tags

New post 30 Mar 2019, 03:34
Is it a valid question for GMAT ?

Here we get two scenarios for choice and one is valid and other is not ..

Posted from my mobile device
Director
Director
avatar
V
Joined: 18 Feb 2019
Posts: 580
Location: India
GMAT 1: 460 Q42 V13
GPA: 3.6
Re: Which of the following could be true if x is a negative integer?  [#permalink]

Show Tags

New post 30 Mar 2019, 04:40
m1033512 wrote:
Is it a valid question for GMAT ?

Here we get two scenarios for choice and one is valid and other is not ..

Posted from my mobile device


Yes this question sourced from eGMAT.
GMAT Club Bot
Re: Which of the following could be true if x is a negative integer?   [#permalink] 30 Mar 2019, 04:40
Display posts from previous: Sort by

Which of the following could be true if x is a negative integer?

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





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