NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 08:41 It is currently 26 Apr 2024, 08:41
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

Which of the following expresses the length of the greatest distance

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92945
Own Kudos [?]: 619186 [2]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
Which of the following expresses the length of the greatest distance [#permalink] New post   06 Jun 2017, 11:35
2
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

35% (medium)

Question Stats:

57% (00:51) correct 43% (00:41) wrong based on 169 sessions
Hide Show timer Statistics
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
ShowHide Answer
Official Answer
D
User avatar
S
quantumliner
Senior Manager
Senior Manager
Joined: 24 Apr 2016
Posts: 255
Own Kudos [?]: 682 [0]
Given Kudos: 48
Send PM
Re: Which of the following expresses the length of the greatest distance [#permalink] 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
User avatar
S
Shruti0805
Manager
Manager
Joined: 24 Dec 2016
Posts: 93
Own Kudos [?]: 45 [0]
Given Kudos: 145
Location: India
Concentration: Finance, General Management
Schools: Simon '21 (A$) Carlson '21 (A$) McDonough '21 (A)
WE:Information Technology (Computer Software)
Send PM
Re: Which of the following expresses the length of the greatest distance [#permalink] 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 \(\sqrt{2a}\)
User avatar
P
JeffTargetTestPrep
Target Test Prep Representative
Joined: 04 Mar 2011
Status:Head GMAT Instructor
Affiliations: Target Test Prep
Posts: 3043
Own Kudos [?]: 6276 [1]
Given Kudos: 1646
Send PM
Re: Which of the following expresses the length of the greatest distance [#permalink] New post   10 Jun 2017, 07:35
1
Bookmarks
Expert Reply
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
avatar
B
nishantt7
Intern
Intern
Joined: 05 May 2016
Status:Preparing
Posts: 48
Own Kudos [?]: 20 [0]
Given Kudos: 150
Location: India
Concentration: International Business, Finance
Send PM
Re: Which of the following expresses the length of the greatest distance [#permalink] 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.
User avatar
S
brs1cob
Manager
Manager
Joined: 06 Jun 2013
Posts: 122
Own Kudos [?]: 37 [0]
Given Kudos: 339
Location: India
Concentration: Finance, Economics
Schools: Tuck
GMAT 1: 640 Q49 V30
GPA: 3.6
WE:Engineering (Computer Software)
Send PM
Re: Which of the following expresses the length of the greatest distance [#permalink] 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
gmatclubot
Re: Which of the following expresses the length of the greatest distance [#permalink]
02 Jul 2017, 09:02
Moderators:
Bunuel
Math Expert
92940 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions