What is the maximum number of points of intersection of two

This topic has expert replies
Legendary Member
Posts: 2248
Joined: Sun Oct 29, 2017 2:04 pm
Followed by:6 members

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

What is the maximum number of points of intersection of two circles that have unequal radii?

A. None
B. 1
C. 2
D. 3
E. Infinite

The OA is C.

Please, can anyone explain this PS question for me? I don't have it clear. Thanks.

GMAT/MBA Expert

Junior | Next Rank: 30 Posts
Posts: 23
Joined: Mon Mar 12, 2018 9:53 am

by Jake@ThePrincetonReview » Fri May 11, 2018 11:17 am
I'd think through this one using a practical rather than a mathematical approach. Take 2 coins that are different sizes, such as a penny and a quarter. Play with them for a bit and you'll see that the maximum number of points of intersection is 2. There's just no physical way to make them intersect three times. And "infinite" can only be the answer if the 2 circles are the same size, which they cannot be if they have unequal radii.
Jake Schiff
GMAT Instructor and Master Trainer
Image
Curious How You'll Score? Take a FREE GMAT® practice test or sample class
Ready to Prep? Exclusive discounts for Beat The GMAT® members HERE