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

It is currently 16 Oct 2019, 12:47

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

Which of the following equals the average of x and 1/x ?

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58381
Which of the following equals the average of x and 1/x ?  [#permalink]

Show Tags

New post 09 Apr 2019, 04:01
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

85% (00:57) correct 15% (02:08) wrong based on 39 sessions

HideShow timer Statistics

CEO
CEO
User avatar
D
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2977
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Reviews Badge
Which of the following equals the average of x and 1/x ?  [#permalink]

Show Tags

New post 09 Apr 2019, 04:08
Bunuel wrote:
Which of the following equals the average of x and 1/x ?

(A) (x + 2)/x

(B) (x^2 + 1)/(2x)

(C) (x + 1)/x^2

(D) (2x^2 + 1)/x

(E) (x + 1)/x


the average of x and 1/x \(= [x+(1/x)]/2 = \frac{{x^2 + 1}}{2x}\)

Answer: Option B
_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
Senior Manager
Senior Manager
User avatar
P
Joined: 13 Jan 2018
Posts: 342
Location: India
Concentration: Operations, General Management
GMAT 1: 580 Q47 V23
GMAT 2: 640 Q49 V27
GPA: 4
WE: Consulting (Consulting)
Reviews Badge
Re: Which of the following equals the average of x and 1/x ?  [#permalink]

Show Tags

New post 09 Apr 2019, 04:34
\(\frac{x + \frac{1}{x}}{2}\)

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

OPTION: B
_________________
____________________________
Regards,

Chaitanya


+1 Kudos

if you like my explanation!!!
Director
Director
User avatar
V
Joined: 06 Jan 2015
Posts: 689
Location: India
Concentration: Operations, Finance
GPA: 3.35
WE: Information Technology (Computer Software)
Re: Which of the following equals the average of x and 1/x ?  [#permalink]

Show Tags

New post 09 Apr 2019, 04:52
Bunuel wrote:
Which of the following equals the average of x and 1/x ?

(A) (x + 2)/x

(B) (x^2 + 1)/(2x)

(C) (x + 1)/x^2

(D) (2x^2 + 1)/x

(E) (x + 1)/x


the average of x and 1/x ==> \((x+(1/x))/2\) ===> \((x^2 + 1)/(2x)\)

Hence B
_________________
आत्मनॊ मोक्षार्थम् जगद्धिताय च

Resource: GMATPrep RCs With Solution
Senior Manager
Senior Manager
avatar
G
Joined: 25 Feb 2019
Posts: 336
Reviews Badge CAT Tests
Re: Which of the following equals the average of x and 1/x ?  [#permalink]

Show Tags

New post 09 Apr 2019, 08:14
sum of terms = x+1/x = (x^2+1)/x

number of terms = 2

So average = 1/2*((x^2+1)/x )


IMO B
Target Test Prep Representative
User avatar
D
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8069
Location: United States (CA)
Re: Which of the following equals the average of x and 1/x ?  [#permalink]

Show Tags

New post 10 Apr 2019, 18:18
Bunuel wrote:
Which of the following equals the average of x and 1/x ?

(A) (x + 2)/x

(B) (x^2 + 1)/(2x)

(C) (x + 1)/x^2

(D) (2x^2 + 1)/x

(E) (x + 1)/x


The average of x and 1/x is:

(x + 1/x)/2 = (x^2/x + 1/x)/2 = [(x^2 + 1)/x]/2 = (x^2 + 1)/(2x)

Answer: B
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

GMAT Club Bot
Re: Which of the following equals the average of x and 1/x ?   [#permalink] 10 Apr 2019, 18:18
Display posts from previous: Sort by

Which of the following equals the average of x and 1/x ?

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





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