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

 It is currently 06 Dec 2019, 10:36

### 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

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

# What is the value of x? (1) x = 1/x^2 (2) |x| = 1/x

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 59587
What is the value of x? (1) x = 1/x^2 (2) |x| = 1/x  [#permalink]

### Show Tags

01 Jul 2018, 23:40
1
9
00:00

Difficulty:

35% (medium)

Question Stats:

61% (01:07) correct 39% (01:12) wrong based on 237 sessions

### HideShow timer Statistics

GMAT Club Tests' FRESH Question:

What is the value of x?

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

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

_________________
Math Expert
Joined: 02 Aug 2009
Posts: 8281
Re: What is the value of x? (1) x = 1/x^2 (2) |x| = 1/x  [#permalink]

### Show Tags

02 Jul 2018, 00:37
1
1
Bunuel wrote:

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
_________________
CR Forum Moderator
Joined: 25 Apr 2018
Posts: 671
GMAT 1: 680 Q49 V34
Re: What is the value of x? (1) x = 1/x^2 (2) |x| = 1/x  [#permalink]

### Show Tags

02 Jul 2018, 07:44
Bunuel wrote:

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.
SVP
Joined: 26 Mar 2013
Posts: 2343
Re: What is the value of x? (1) x = 1/x^2 (2) |x| = 1/x  [#permalink]

### Show Tags

02 Jul 2018, 08:22
chetan2u wrote:
Bunuel wrote:

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,
Intern
Joined: 30 Jul 2017
Posts: 1
Concentration: Marketing, Healthcare
Re: What is the value of x? (1) x = 1/x^2 (2) |x| = 1/x  [#permalink]

### Show Tags

03 Jul 2018, 08:08
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
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5428
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: What is the value of x? (1) x = 1/x^2 (2) |x| = 1/x  [#permalink]

### Show Tags

24 Dec 2018, 01:01
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 wrote:

GMAT Club Tests' FRESH Question:

What is the value of x?

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

(2) $$|x| = \frac{1}{x}$$
Math Expert
Joined: 02 Sep 2009
Posts: 59587
Re: What is the value of x? (1) x = 1/x^2 (2) |x| = 1/x  [#permalink]

### Show Tags

24 Dec 2018, 01:42
Bunuel wrote:

GMAT Club Tests' FRESH Question:

What is the value of x?

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

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

_________________
Re: What is the value of x? (1) x = 1/x^2 (2) |x| = 1/x   [#permalink] 24 Dec 2018, 01:42
Display posts from previous: Sort by