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

It is currently 22 Sep 2018, 16:22

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 > 0 and |x| = 1/x, then x =

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49303
If x > 0 and |x| = 1/x, then x =  [#permalink]

Show Tags

New post 24 Jun 2017, 08:02
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

92% (00:27) correct 8% (00:49) wrong based on 255 sessions

HideShow timer Statistics

Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 6800
Re: If x > 0 and |x| = 1/x, then x =  [#permalink]

Show Tags

New post 13 Jul 2017, 09:25
Bunuel wrote:
If \(x > 0\) and \(|x| = \frac{1}{x}\), then x =

(A) –1
(B) 0
(C) 1
(D) 2
(E) 3



Hi..
x>0... Just important to know that x is NOT EQUAL to 0 or may be not required at all as this is also conveyed by second INEQUALITY

\(|x|=\frac{1}{x}\)...
This tells us that x is POSITIVE.
Which Number has its reciprocal EQUAL to itself .. 1 or -1..
But x is positive so answer is 1

C
_________________

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


GMAT online Tutor

Senior SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 1978
Premium Member CAT Tests
If x > 0 and |x| = 1/x, then x =  [#permalink]

Show Tags

New post 14 Jul 2017, 08:37
chetan2u wrote:
Bunuel wrote:
If \(x > 0\) and \(|x| = \frac{1}{x}\), then x =

(A) –1
(B) 0
(C) 1
(D) 2
(E) 3

Hi..
x>0... Just important to know that x is NOT EQUAL to 0 or may be not required at all as this is also conveyed by second INEQUALITY

\(|x|=\frac{1}{x}\)...
This tells us that x is POSITIVE.
Which Number has its reciprocal EQUAL to itself .. 1 or -1..
But x is positive so answer is 1

C

I'm trying to understand, unsuccessfully so far, that which you stress.

If x > 0, x is not 0.

Given the fraction involved, where by definition we cannot divide by 0, x is not 0.

Or are you saying that there is no such thing as |0| = \(\frac{0}{1}\)?(That is, that the variable x inside the absolute value brackets cannot be 0 irrespective of what is on the other side of the inequality?)

I'm trying to figure out what mistake you're trying to prevent from being made. I'm sure you make an important point. Please explain?
_________________

In the depths of winter, I finally learned
that within me there lay an invincible summer.

-- Albert Camus, "Return to Tipasa"

Intern
Intern
avatar
B
Joined: 06 Apr 2016
Posts: 27
GMAT 1: 720 Q49 V40
Re: If x > 0 and |x| = 1/x, then x =  [#permalink]

Show Tags

New post 03 Oct 2017, 00:49
1
Bunuel wrote:
If \(x > 0\) and \(|x| = \frac{1}{x}\), then x =

(A) –1
(B) 0
(C) 1
(D) 2
(E) 3


Here is how I solved the problem

|x| = \(\frac{1}{x}\) => |x|*x=1

since x>0

\(x^2=1\)

=> x=1 (or) -1

since x>0, we have the answer as x=1. Ans C
GMAT Club Bot
Re: If x > 0 and |x| = 1/x, then x = &nbs [#permalink] 03 Oct 2017, 00:49
Display posts from previous: Sort by

If x > 0 and |x| = 1/x, then x =

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

Events & Promotions

PREV
NEXT


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.