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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
If points A and B are 5 units apart, which of the following can have o
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10 Nov 2021, 04:11
10 Nov 2021, 04:11
Expert Reply
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Question Stats:
60% (01:04) correct
40% (01:10) wrong based on 5 sessions
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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, which of the following can have o
[#permalink]
15 Nov 2021, 03:57
15 Nov 2021, 03:57
1
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, which of the following can have o [#permalink]
15 Nov 2021, 03:57
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