Last visit was: 25 Apr 2024, 13:28 It is currently 25 Apr 2024, 13:28

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
SORT BY:
Date
Tags:
Show Tags
Hide Tags
User avatar
Manager
Manager
Joined: 31 Oct 2011
Posts: 201
Own Kudos [?]: 7799 [45]
Given Kudos: 18
Send PM
Most Helpful Reply
Math Expert
Joined: 02 Sep 2009
Posts: 92915
Own Kudos [?]: 619010 [8]
Given Kudos: 81595
Send PM
General Discussion
avatar
Intern
Intern
Joined: 27 Mar 2012
Posts: 6
Own Kudos [?]: 675 [2]
Given Kudos: 1
Send PM
Intern
Intern
Joined: 06 Aug 2013
Posts: 46
Own Kudos [?]: 14 [0]
Given Kudos: 17
Send PM
Re: If points A and B are 5 units apart, which of the following [#permalink]
bunuel,
III. The area of a rectangular region with diagonal AB --> consider the case when AB is the diagonal of a square (the area is 25/2) and the case when AB is the diagonal of a rectangle with the sides equal to 3 and 4 (the area 12).

because, the diagonal AB = 5, you have assumed the other two sides to be 3 and 4 for the rectangle. this is what i am wanting to clarify.
Math Expert
Joined: 02 Sep 2009
Posts: 92915
Own Kudos [?]: 619010 [2]
Given Kudos: 81595
Send PM
Re: If points A and B are 5 units apart, which of the following [#permalink]
2
Kudos
Expert Reply
arnabs wrote:
bunuel,
III. The area of a rectangular region with diagonal AB --> consider the case when AB is the diagonal of a square (the area is 25/2) and the case when AB is the diagonal of a rectangle with the sides equal to 3 and 4 (the area 12).

because, the diagonal AB = 5, you have assumed the other two sides to be 3 and 4 for the rectangle. this is what i am wanting to clarify.


The question asks which of the following can have only one possible value?

III suggests that it's the area of a rectangular region with diagonal AB:

AB could be the diagonal of a square as well as it could be the diagonal of a rectangle with the sides equal to 3 and 4 (of course there are many other cases possible). Those two cases give different areas for a rectangle with diagonal of 5. Therefore, the area of a rectangular region with diagonal of 5 can have more than one value.

Hope it's clear.
Intern
Intern
Joined: 06 Aug 2013
Posts: 46
Own Kudos [?]: 14 [0]
Given Kudos: 17
Send PM
Re: If points A and B are 5 units apart, which of the following [#permalink]
Bunuel wrote:
arnabs wrote:
bunuel,
III. The area of a rectangular region with diagonal AB --> consider the case when AB is the diagonal of a square (the area is 25/2) and the case when AB is the diagonal of a rectangle with the sides equal to 3 and 4 (the area 12).

because, the diagonal AB = 5, you have assumed the other two sides to be 3 and 4 for the rectangle. this is what i am wanting to clarify.


The question asks which of the following can have only one possible value?

III suggests that it's the area of a rectangular region with diagonal AB:

AB could be the diagonal of a square as well as it could be the diagonal of a rectangle with the sides equal to 3 and 4 (of course there are many other cases possible). Those two cases give different areas for a rectangle with diagonal of 5. Therefore, the area of a rectangular region with diagonal of 5 can have more than one value.

Hope it's clear.



yeah, exactly... that is what i wanted to confirm. your approach was one of the approaches of solving, just making sure that i am approaching problems like these in the right fashion. 6 days for the D-day, hence, a little freaked out. thanks for the confirmation bunuel, kudos to you. :)
Board of Directors
Joined: 17 Jul 2014
Posts: 2163
Own Kudos [?]: 1180 [0]
Given Kudos: 236
Location: United States (IL)
Concentration: Finance, Economics
GMAT 1: 650 Q49 V30
GPA: 3.92
WE:General Management (Transportation)
Send PM
Re: If points A and B are 5 units apart, which of the following [#permalink]
eybrj2 wrote:
If points A and B are 5 units apart, which of the following can have only one possible value?

I. The area of a square region with side AB
II. The circumference of a circle passing through points A and B
III. The area of a rectangular region with diagonal AB

A. I only
B. II only
C. III only
D. I and II only
E. I and III only


1. always true. so B, C are out immediately.
2. we can have multiple options...AB might be a chord, or AB might be the diameter. D is out.
we are left with A and E...pretty good odds, hah? :)
3. diagonal is AB -> since it's a rectangular region, we might have the rectangular formed by 2 triangles 3-4-5. since we are not 100% sure of that, we can't have a definite answer. E is out.

A is the answer.
VP
VP
Joined: 14 Feb 2017
Posts: 1115
Own Kudos [?]: 2164 [0]
Given Kudos: 368
Location: Australia
Concentration: Technology, Strategy
GMAT 1: 560 Q41 V26
GMAT 2: 550 Q43 V23
GMAT 3: 650 Q47 V33
GMAT 4: 650 Q44 V36
GMAT 5: 600 Q38 V35
GMAT 6: 710 Q47 V41
WE:Management Consulting (Consulting)
Send PM
Re: If points A and B are 5 units apart, which of the following [#permalink]
I automatically assumed AB was the diameter of the circle and hence thought II was right. Could get the others though
User avatar
Non-Human User
Joined: 09 Sep 2013
Posts: 32679
Own Kudos [?]: 822 [0]
Given Kudos: 0
Send PM
Re: If points A and B are 5 units apart, which of the following [#permalink]
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
GMAT Club Bot
Re: If points A and B are 5 units apart, which of the following [#permalink]
Moderators:
Math Expert
92914 posts
Senior Moderator - Masters Forum
3137 posts

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