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

It is currently 15 Oct 2019, 19:16

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

If x is not 0, for how many integers is |x|^x = x*x ?

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

Hide Tags

Find Similar Topics 
Senior Manager
Senior Manager
User avatar
P
Joined: 17 Oct 2016
Posts: 257
Location: India
Concentration: General Management, Healthcare
GMAT 1: 640 Q40 V38
GMAT 2: 680 Q48 V35
GPA: 3.05
WE: Pharmaceuticals (Health Care)
Reviews Badge
If x is not 0, for how many integers is |x|^x = x*x ?  [#permalink]

Show Tags

New post Updated on: 03 Feb 2019, 18:26
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

43% (01:35) correct 57% (01:08) wrong based on 71 sessions

HideShow timer Statistics

If x is not 0, for how many integers is \(|x|^x = x*x\)?

A. 0

B. 1

C. 2

D. 3

E. >3

_________________
_____________________
Chasing the dragon

Originally posted by fitzpratik on 29 Jan 2019, 07:59.
Last edited by fitzpratik on 03 Feb 2019, 18:26, edited 1 time in total.
Director
Director
avatar
G
Joined: 09 Mar 2018
Posts: 996
Location: India
Re: If x is not 0, for how many integers is |x|^x = x*x ?  [#permalink]

Show Tags

New post Updated on: 02 Feb 2019, 23:01
fitzpratik wrote:
if x is not 0, for how many integers is \(|x|^x\) = x*x?

A. 0

B. 1

C. 2

D. 3

E. >3


Hi fitzpratik, I believe there is some discrepancy in OA

x !=0, it can be both +ive and -ive integers but only till -1 , because if x < -1 it will flip |x|^x into a fraction.

x will be 3 integers -1, 1 and 2

Answer D

Do share your thoughts on this.
_________________
If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.

Originally posted by KanishkM on 29 Jan 2019, 08:15.
Last edited by KanishkM on 02 Feb 2019, 23:01, edited 2 times in total.
Intern
Intern
avatar
B
Joined: 11 May 2018
Posts: 24
Location: India
Re: If x is not 0, for how many integers is |x|^x = x*x ?  [#permalink]

Show Tags

New post 02 Feb 2019, 22:50
1
x is not equal to 0 ---> x can be positive or negative

|x|^x=x∗x

above equation satisfies for the value of 1, 2 and -1 but can not for -2.

total number of values of x = 3

Answer: D
Manager
Manager
User avatar
G
Joined: 11 Dec 2013
Posts: 121
Location: India
GMAT Date: 03-15-2015
WE: Education (Education)
GMAT ToolKit User
Re: If x is not 0, for how many integers is |x|^x = x*x ?  [#permalink]

Show Tags

New post 02 Feb 2019, 23:42
There are 3 solutions , please update the OA

\(1, -1 \, and \, 2\)
_________________
KUDOS will increase your score
Senior Manager
Senior Manager
User avatar
P
Joined: 17 Oct 2016
Posts: 257
Location: India
Concentration: General Management, Healthcare
GMAT 1: 640 Q40 V38
GMAT 2: 680 Q48 V35
GPA: 3.05
WE: Pharmaceuticals (Health Care)
Reviews Badge
Re: If x is not 0, for how many integers is |x|^x = x*x ?  [#permalink]

Show Tags

New post 03 Feb 2019, 18:27
Updated the correct answer.

Posted from my mobile device
_________________
_____________________
Chasing the dragon
GMAT Club Bot
Re: If x is not 0, for how many integers is |x|^x = x*x ?   [#permalink] 03 Feb 2019, 18:27
Display posts from previous: Sort by

If x is not 0, for how many integers is |x|^x = x*x ?

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





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