GRE Prep 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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
If points A and B are 5 units apart
[#permalink]
08 Jun 2019, 05:48
08 Jun 2019, 05:48
00:00
Question Stats:
33% (00:26) correct
66% (00:56) wrong based on 3 sessions
Hide Show timer Statistics
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
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
[#permalink]
09 Jun 2019, 10:23
09 Jun 2019, 10:23
Expert Reply
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.
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.
gmatclubot
Re: If points A and B are 5 units apart [#permalink]
09 Jun 2019, 10:23
Moderators:
