Last visit was: 16 Jul 2025, 16:36 It is currently 16 Jul 2025, 16:36
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
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 16 Jul 2025
Posts: 102,594
Own Kudos:
741,979
 [3]
Given Kudos: 98,202
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 102,594
Kudos: 741,979
 [3]
1
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
User avatar
ajaynandakumar7
Joined: 23 Jul 2024
Last visit: 14 Jul 2025
Posts: 21
Own Kudos:
13
 [1]
Given Kudos: 72
Location: India
Concentration: Finance, Strategy
Schools: IIM HEC '26
GPA: 7.15
WE:Other (Finance)
Products:
Schools: IIM HEC '26
Posts: 21
Kudos: 13
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
GMATinsight
User avatar
Major Poster
Joined: 08 Jul 2010
Last visit: 15 Jul 2025
Posts: 6,378
Own Kudos:
15,600
 [2]
Given Kudos: 128
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
Posts: 6,378
Kudos: 15,600
 [2]
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
itsyodaa
Joined: 05 Jan 2021
Last visit: 15 Jul 2025
Posts: 21
Own Kudos:
14
 [1]
Given Kudos: 18
Posts: 21
Kudos: 14
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
by substituting x=-2 we found that all 1,3 follows, only2 is not following, no need to check option 4 as there is no option clubbed with 2 and 4 so
correct option is E
User avatar
sushanth21
Joined: 09 Nov 2024
Last visit: 15 Jun 2025
Posts: 93
Own Kudos:
Given Kudos: 3
Products:
Posts: 93
Kudos: 68
Kudos
Add Kudos
Bookmarks
Bookmark this Post
(I) |-2| = -|-2| + |2(-2)|
2 = 2
(II) (-2)^(2) = (2)^(-2)
4 = 1/4
False
(III)(2)^0 = -(-2)/|-2|
1 = 1
(IV) (1/-2)^|-2| = |-2|^-2
1/4 = 1/4

So, Option B


Bunuel
If x = −2, which of the following is (are) false?

(I) \(|x| = −|x| + |2x|\)

(II) \((x)^{(− x)} = (−x)^x\)


(III) \((−x)^0=−\frac{x}{|x|}\)

(IV) \((\frac{1}{x})^{|x|}=|x|^x\)

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


This is a PS Butler Question

Check the links to other Butler Projects:


­
Moderators:
Math Expert
102594 posts
PS Forum Moderator
697 posts