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

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

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New post 01 Jul 2018, 23:40
1
8
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A
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D
E

Difficulty:

  35% (medium)

Question Stats:

62% (01:06) correct 38% (01:11) wrong based on 217 sessions

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GMAT Club Tests' FRESH Question:



What is the value of x?


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

(2) \(|x| = \frac{1}{x}\)
Spoiler: OA

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Re: What is the value of x? (1) x = 1/x^2 (2) |x| = 1/x  [#permalink]

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New post 02 Jul 2018, 00:37
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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
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html


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Re: What is the value of x? (1) x = 1/x^2 (2) |x| = 1/x  [#permalink]

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New post 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.
Hence D is the Answer
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Re: What is the value of x? (1) x = 1/x^2 (2) |x| = 1/x  [#permalink]

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New post 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,
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Re: What is the value of x? (1) x = 1/x^2 (2) |x| = 1/x  [#permalink]

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New post 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
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Re: What is the value of x? (1) x = 1/x^2 (2) |x| = 1/x  [#permalink]

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New post 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) \(|x| = \frac{1}{x}\)

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Re: What is the value of x? (1) x = 1/x^2 (2) |x| = 1/x  [#permalink]

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New post 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) \(|x| = \frac{1}{x}\)


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


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PS: Standard deviation | Tough Problem Solving Questions With Solutions | Probability and Combinations Questions With Solutions | Tough and tricky exponents and roots questions | 12 Easy Pieces (or not?) | Bakers' Dozen | Algebra set | Mixed Questions | Fresh Meat
DS: DS Standard deviation | Inequalities | 700+ GMAT Data Sufficiency Questions With Explanations | Tough and tricky exponents and roots questions | The Discreet Charm of the DS | Devil's Dozen!!! | Number Properties set | New DS set
MIXED: GMAT Club's Complete Questions' Bank | SEVEN SAMURAI OF 2012 | Tricky questions from previous years. | Special Questions' Directory | Best Of The Best Of 2017 | The Best Of Quant of 2016 | 20 hardest and 20 best questions of 2015 | 15 best topics of 2015 | Seven Samurai of 2012 | GMAT Probability Questions

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Re: What is the value of x? (1) x = 1/x^2 (2) |x| = 1/x   [#permalink] 24 Dec 2018, 01:42
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