Last visit was: 16 Jul 2025, 00:39 It is currently 16 Jul 2025, 00:39
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 July 2025
Posts: 102,585
Own Kudos:
Given Kudos: 98,191
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 102,585
Kudos: 741,756
 [18]
1
Kudos
Add Kudos
17
Bookmarks
Bookmark this Post
Most Helpful Reply
User avatar
chetan2u
User avatar
GMAT Expert
Joined: 02 Aug 2009
Last visit: 15 Jul 2025
Posts: 11,294
Own Kudos:
41,765
 [8]
Given Kudos: 333
Status:Math and DI Expert
Products:
Expert
Expert reply
Posts: 11,294
Kudos: 41,765
 [8]
4
Kudos
Add Kudos
4
Bookmarks
Bookmark this Post
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 16 July 2025
Posts: 102,585
Own Kudos:
741,756
 [2]
Given Kudos: 98,191
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 102,585
Kudos: 741,756
 [2]
1
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
General Discussion
User avatar
gmat1393
User avatar
Share GMAT Experience Moderator
Joined: 25 Apr 2018
Last visit: 19 Dec 2022
Posts: 644
Own Kudos:
Given Kudos: 199
GMAT 1: 680 Q49 V34
Products:
GMAT 1: 680 Q49 V34
Posts: 644
Kudos: 2,486
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel

GMAT Club Tests' FRESH Question:



What is the value of x?


(1) \(x = \frac{1}{x^2}\)

(2) \(|x| = \frac{1}{x}\)

In both the cases only the value 1 satisfies the equations.
Hence D is the Answer
User avatar
Mo2men
Joined: 26 Mar 2013
Last visit: 09 May 2023
Posts: 2,443
Own Kudos:
Given Kudos: 641
Concentration: Operations, Strategy
Schools: Erasmus (II)
Products:
Schools: Erasmus (II)
Posts: 2,443
Kudos: 1,438
Kudos
Add Kudos
Bookmarks
Bookmark this Post
chetan2u
Bunuel

GMAT Club Tests' FRESH Question:



What is the value of x?


(1) \(x = \frac{1}{x^2}\)

(2) \(|x| = \frac{1}{x}\)


as x is in the denominator \(x\neq{0}\)

(1) \(x = \frac{1}{x^2}\)..
\(x = \frac{1}{x^2}..................x^3=1..........x=1\).
we could cross multiply as x^2 > 0
sufficient


(2) \(|x| = \frac{1}{x}\)
since |x|>0....\(\frac{1}{x}>0..........x>0\)...
so \(x^2=1......x=1\)
suff

D

I think we can multiply easily because it is equality. even if the denominator is negative it is multiplied without problem,
avatar
swatz1689
Joined: 30 Jul 2017
Last visit: 14 Oct 2020
Posts: 1
Own Kudos:
1
 [1]
Given Kudos: 177
Concentration: Marketing, Healthcare
Posts: 1
Kudos: 1
 [1]
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
IN THE SECOND OPTION, WE WILL GET X2=1 means + 1 or _1, so we need to put -1 and +1 again in the formula to check its viability.
When we put -1 we dont get any ans
User avatar
Archit3110
User avatar
Major Poster
Joined: 18 Aug 2017
Last visit: 16 July 2025
Posts: 8,349
Own Kudos:
Given Kudos: 243
Status:You learn more from failure than from success.
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1: 545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy)
GMAT Focus 1: 545 Q79 V79 DI73
Posts: 8,349
Kudos: 4,829
Kudos
Add Kudos
Bookmarks
Bookmark this Post
from 1:
\(x = \frac{1}{x^2}\)
x^3=1
x has to be +ve 1 sufficient

from 2:
\(|x| = \frac{1}{x}\)[/quote]
IxI.x=1

so x has to be +1 .. sufficient

IMO D

Bunuel

GMAT Club Tests' FRESH Question:



What is the value of x?


(1) \(x = \frac{1}{x^2}\)

(2) \(|x| = \frac{1}{x}\)
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 16 July 2025
Posts: 102,585
Own Kudos:
Given Kudos: 98,191
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 102,585
Kudos: 741,756
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel

GMAT Club Tests' FRESH Question:



What is the value of x?


(1) \(x = \frac{1}{x^2}\)

(2) \(|x| = \frac{1}{x}\)

Par of GMAT CLUB'S New Year's Quantitative Challenge Set

User avatar
natheodore
Joined: 09 Jan 2021
Last visit: 17 Apr 2025
Posts: 20
Own Kudos:
Given Kudos: 2
Posts: 20
Kudos: 5
Kudos
Add Kudos
Bookmarks
Bookmark this Post
for (1)

x^3 = 1, x= 1 or -1.

X cannot be negative, so X is 1. Sufficient

for (2),

|x| = 1/x, x=1 or -1.

X also cannot be negative here due to the modulus value. So X is 1. Sufficient.

Answer is D
avatar
emsgmat
Joined: 13 Dec 2021
Last visit: 02 Oct 2022
Posts: 17
Own Kudos:
Given Kudos: 117
Posts: 17
Kudos: 4
Kudos
Add Kudos
Bookmarks
Bookmark this Post
What is the value of x?


(1) x = 1/x^2


x^3 = 1
Only possible number is 1; hence, sufficient

(2) |x|=1/x

Either:
x^2 = -1
Invalid because any number squared is always positive

x^2 = 1
Only possible number is 1; hence, also sufficient

Answer is (D).
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 37,413
Own Kudos:
Posts: 37,413
Kudos: 1,013
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Moderator:
Math Expert
102585 posts