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.
It appears that you are browsing the GMAT Club forum unregistered!
Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club
Registration gives you:
Tests
Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.
Applicant Stats
View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more
Books/Downloads
Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!
Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
If points A and B are 5 units apart, which of the following [#permalink]
31 Mar 2012, 01:29
1
This post received KUDOS
1
This post was BOOKMARKED
00:00
A
B
C
D
E
Difficulty:
75% (hard)
Question Stats:
47% (02:12) correct
53% (00:55) wrong based on 149 sessions
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
Re: If points A and B are 5 units apart, which of the following [#permalink]
04 Dec 2014, 05:52
1
This post received KUDOS
Expert's post
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.
Re: If points A and B are 5 units apart, which of the following [#permalink]
31 Mar 2012, 01:42
Expert's post
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
I. The area of a square region with side AB --> side=AB=5 --> the area of a square is 5^2=25, so only one possible value;
II. The circumference of a circle passing through points A and B --> circle is not defined by only two points, hence the circumference of a circle passing through points A and B can take infinitely many values. For example consider when AB=diameter and when points A and B are not the endpoints of the diameter;
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).
Re: If points A and B are 5 units apart, which of the following [#permalink]
31 Mar 2012, 01:46
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: Area od square = (Side)^2=(AB)^2=25 ( fixed ) 2: radius of circle can be anything as center of circle is pivot.==> radius is not fix ==> 2*pi*r is not fix. 3. As AB as diagonal is fix ==> point A and B are fix ==> Other point C and D of rectangle are not fix ==> Sides are not fix ==> Area is not fix.
Re: If points A and B are 5 units apart, which of the following [#permalink]
28 Jul 2014, 05:59
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. _________________
Re: If points A and B are 5 units apart, which of the following [#permalink]
04 Dec 2014, 05:37
Bunuel wrote:
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
I. The area of a square region with side AB --> side=AB=5 --> the area of a square is 5^2=25, so only one possible value;
II. The circumference of a circle passing through points A and B --> circle is not defined by only two points, hence the circumference of a circle passing through points A and B can take infinitely many values. For example consider when AB=diameter and when points A and B are not the endpoints of the diameter;
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).
Answer: A.
Bunuel, i have a doubt here. from one of your previous posts, i remember you saying that in a right angled triangle, if its not explicitly mentioned that the legs of the triangle have values that are integers, then we cant apply the 3^2 + 4^2 = 5^2 rule.
in the rectangle when its mentioned that AB is a diagonal, then the legs of the right angled triangle so fromed inside the rectangle may or may not have the values of its legs as 3 and 4.
how i approached this problem, statement 1 is correct statement 2 mentions that a circle passed through AB. now AB may or may not be the radius of the circle. hence insuff statement 3 (keeping your sugesstion in mind) : diagonal AB=5, hence if sides are 3 and 4, area is 12. if not 3 and 4, area will be soemthing else. hence, insuff.
please confirm my approach, would really appreciate your help.
Re: If points A and B are 5 units apart, which of the following [#permalink]
04 Dec 2014, 05:40
Expert's post
arnabs wrote:
Bunuel wrote:
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
I. The area of a square region with side AB --> side=AB=5 --> the area of a square is 5^2=25, so only one possible value;
II. The circumference of a circle passing through points A and B --> circle is not defined by only two points, hence the circumference of a circle passing through points A and B can take infinitely many values. For example consider when AB=diameter and when points A and B are not the endpoints of the diameter;
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).
Answer: A.
Bunuel, i have a doubt here. from one of your previous posts, i remember you saying that in a right angled triangle, if its not explicitly mentioned that the legs of the triangle have values that are integers, then we cant apply the 3^2 + 4^2 = 5^2 rule.
in the rectangle when its mentioned that AB is a diagonal, then the legs of the right angled triangle so fromed inside the rectangle may or may not have the values of its legs as 3 and 4.
how i approached this problem, statement 1 is correct statement 2 mentions that a circle passed through AB. now AB may or may not be the radius of the circle. hence insuff statement 3 (keeping your sugesstion in mind) : diagonal AB=5, hence if sides are 3 and 4, area is 12. if not 3 and 4, area will be soemthing else. hence, insuff.
please confirm my approach, would really appreciate your help.
I don't understand where you see contradiction in what I've written. Please re-read the question and the solution. _________________
Re: If points A and B are 5 units apart, which of the following [#permalink]
04 Dec 2014, 05:47
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.
Re: If points A and B are 5 units apart, which of the following [#permalink]
04 Dec 2014, 05:57
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.
gmatclubot
Re: If points A and B are 5 units apart, which of the following
[#permalink]
04 Dec 2014, 05:57
You know what’s worse than getting a ding at one of your dreams schools . Yes its getting that horrid wait-listed email . This limbo is frustrating as hell . Somewhere...
As I’m halfway through my second year now, graduation is now rapidly approaching. I’ve neglected this blog in the last year, mainly because I felt I didn’...
Wow! MBA life is hectic indeed. Time flies by. It is hard to keep track of the time. Last week was high intense training Yeah, Finance, Accounting, Marketing, Economics...