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

It is currently 17 Oct 2018, 22:46

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 + (1/x) = 5, what is the value of x^2 + (1/x)^2?

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

Hide Tags

Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 6380
GMAT 1: 760 Q51 V42
GPA: 3.82
Premium Member
If x + (1/x) = 5, what is the value of x^2 + (1/x)^2?  [#permalink]

Show Tags

New post Updated on: 18 Jan 2016, 23:21
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

82% (01:18) correct 18% (02:39) wrong based on 83 sessions

HideShow timer Statistics

If x + (1/x) = 5, what is the value of x^2 + (1/x)^2?

A. 21
B. 22
C. 23
D. 24
E. 27

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $99 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"


Originally posted by MathRevolution on 14 Jan 2016, 19:02.
Last edited by Bunuel on 18 Jan 2016, 23:21, edited 1 time in total.
Edited the question.
SC Moderator
User avatar
D
Joined: 13 Apr 2015
Posts: 1693
Location: India
Concentration: Strategy, General Management
GMAT 1: 200 Q1 V1
GPA: 4
WE: Analyst (Retail)
GMAT ToolKit User Premium Member
Re: If x + (1/x) = 5, what is the value of x^2 + (1/x)^2?  [#permalink]

Show Tags

New post 15 Jan 2016, 08:15
Squaring on both sides,
x^2 + (1/x)^2 + 2(x)(1/x) = 5^2

x^2 + (1/x)^2 = 23

Answer: C
Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 6380
GMAT 1: 760 Q51 V42
GPA: 3.82
Premium Member
Re: If x + (1/x) = 5, what is the value of x^2 + (1/x)^2?  [#permalink]

Show Tags

New post 18 Jan 2016, 19:17
If x+(1/x)=5, what is the value of x^2+(1/x)^2?

A. 21
B. 22
C. 23
D. 24
E. 27

==>x^2+(1/x)^2=(x+1/x)^2-2x(1/x)=25-2=23. Therefore, the answer is C.
_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $99 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

Manager
Manager
avatar
B
Joined: 25 May 2016
Posts: 77
Location: Singapore
Concentration: Finance, General Management
GMAT 1: 620 Q46 V30
Re: If x + (1/x) = 5, what is the value of x^2 + (1/x)^2?  [#permalink]

Show Tags

New post 03 Jan 2018, 02:48
x + (1/x) = 5
(x+(1/x))^2 = 5^2
x^2 + 2 + (1/x)^2 = 25
x^2 + (1/x)^2 = 23

Option C
_________________

7 Kudos left to unlock next level. Help me by Contributing one for cause :) .. Please

Manick9

If you found my post helpful, kindly press "+1 Kudos" to appreciate

GMAT Club Bot
Re: If x + (1/x) = 5, what is the value of x^2 + (1/x)^2? &nbs [#permalink] 03 Jan 2018, 02:48
Display posts from previous: Sort by

If x + (1/x) = 5, what is the value of x^2 + (1/x)^2?

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


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®.