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

It is currently 20 Apr 2019, 19:29

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 expresses the length of the greatest distance

  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: 54376
Which of the following expresses the length of the greatest distance  [#permalink]

Show Tags

New post 06 Jun 2017, 11:35
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

51% (00:57) correct 49% (00:38) wrong based on 111 sessions

HideShow timer Statistics

Senior Manager
Senior Manager
avatar
G
Joined: 24 Apr 2016
Posts: 331
Re: Which of the following expresses the length of the greatest distance  [#permalink]

Show Tags

New post 06 Jun 2017, 13:27
greatest distance between any two points on a square will be the two opposite ends of the diagonal.

Area of the square = a
Side of the square = √a
Diagonal = \(\sqrt{2* (√a)^2}\) = a√2

Answer is C
Manager
Manager
User avatar
S
Joined: 24 Dec 2016
Posts: 96
Location: India
Concentration: Finance, General Management
WE: Information Technology (Computer Software)
Re: Which of the following expresses the length of the greatest distance  [#permalink]

Show Tags

New post 06 Jun 2017, 21:55
quantumliner wrote:
greatest distance between any two points on a square will be the two opposite ends of the diagonal.

Area of the square = a
Side of the square = √a
Diagonal = \(\sqrt{2* (√a)^2}\) = a√2

Answer is C



Should be D.
The length of the diagonal for a square is \(\sqrt{2}*Side\)

Side = \(\sqrt{a}\)
Thus, diagonal should be \(\sqrt{2a}\)
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2825
Re: Which of the following expresses the length of the greatest distance  [#permalink]

Show Tags

New post 10 Jun 2017, 07:35
Bunuel wrote:
Which of the following expresses the length of the greatest distance between any two points on a square with area a?

A. a
B. √a
C. a√2
D. √(2a)
E. 2√a


Recall that the greatest distance between any two points on a square is its diagonal and that the diagonal of a square is s√2, where s = side of the square.

Since the area of the square is a and area = s^2, we have a = s^2, or s = √a.

Thus, the diagonal of the square = (√a)(√2) = √(2a).

Answer: D
_________________

Jeffrey Miller

Head of GMAT Instruction

Jeff@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

Manager
Manager
avatar
B
Status: Preparing
Joined: 05 May 2016
Posts: 55
Location: India
Concentration: International Business, Finance
Re: Which of the following expresses the length of the greatest distance  [#permalink]

Show Tags

New post 11 Jun 2017, 12:48
Bunuel wrote:
Which of the following expresses the length of the greatest distance between any two points on a square with area a?

A. a
B. √a
C. a√2
D. √(2a)
E. 2√a


Let us assume a=64,so side of square be 8.
Diagonal will be sq. root of (8^2+8^2)=sq. root of (64+64)=sq. root of 2a
Answer is D.
Manager
Manager
avatar
S
Joined: 06 Jun 2013
Posts: 155
Location: India
Concentration: Finance, Economics
Schools: Tuck
GMAT 1: 640 Q49 V30
GPA: 3.6
WE: Engineering (Computer Software)
Re: Which of the following expresses the length of the greatest distance  [#permalink]

Show Tags

New post 02 Jul 2017, 09:02
very easy question, but we need to solve this with little caution. i got the wrong answer in 30 seconds.

here area of the square is given as 'a'.
i did not notice it n considered area as a^2 and got D as the answer.
GMAT Club Bot
Re: Which of the following expresses the length of the greatest distance   [#permalink] 02 Jul 2017, 09:02
Display posts from previous: Sort by

Which of the following expresses the length of the greatest distance

  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®.