Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Sep 1507:00 PM EDT
-09:00 PM EST
Elite scores are possible when you enroll in a powerful GMAT course, taught live online + 6 months access to TTP OnDemand video courses included! Class starts Tues/Thurs Sept. 15, 2026 - Nov. 15, 2027, 7:00pm-9:00pm EST
Sep 2107:00 PM EDT
-10:00 PM EDT
Boost your GMAT score in less than one month in a live online class + 6 months access to TTP OnDemand video courses included! Class starts Mon, Tues, Wed, Thur, Fri Sept. 21, 2026 - Oct. 9, 2027, 7:00pm-10:00pm EST
26 Jun 2007, 03:18
Kudos
Bookmarks
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
62% (01:08) correct
38%
(01:23)
wrong
based on 3455
sessions
History
Date
Time
Result
Not Attempted Yet
Which of the following lists the number of points at which a circle can intersect a triangle?
A. 2 and 6 only
B. 2, 4 and 6 only
C. 1, 2, 3 and 6 only
D. 1, 2, 3, 4 and 6 only
E. 1, 2, 3, 4, 5 and 6 only
A. 2 and 6 only
B. 2, 4 and 6 only
C. 1, 2, 3 and 6 only
D. 1, 2, 3, 4 and 6 only
E. 1, 2, 3, 4, 5 and 6 only
If this question felt shaky,
try an adaptive mini quiz of similar problems in
GMAT Club Forum Quiz →. Free plan gives 5 questions per day.
17 Mar 2009, 07:53
Kudos
Bookmarks
Accountant
This is understanding how geomoetric figures work.
The options are 1,2,3,4,5,6
points that interesect.
I made a nice picture that shows all six options, so the answer is E.
Attachments
circles.JPG [ 8.8 KiB | Viewed 202812 times ]
22 Feb 2010, 11:28
Kudos
Bookmarks
Which of the following lists a number of points at which a circle intersects a triangle
A. 2 and 6 only
B. 2, 4 and 6 only
C. 1, 2, 3 and 6 only
D. 1, 2, 3, 4 and 6 only
E. 1, 2, 3, 4, 5 and 6 only
A circle can intersect a triangle at:
Hence circle can intersect triangle at 1, 2, 3, 4, 5 or 6 points. (The examples I provided are not the only possible cases of intersection points, just these examples prove that there can be from 1 to 6 intersections).
Answer: E.
Below is the diagram showing possible cases of intersections provided by DestinyChild.
TriangleCircleIntersection88639.jpg [ 5.38 KiB | Viewed 213170 times ]
A. 2 and 6 only
B. 2, 4 and 6 only
C. 1, 2, 3 and 6 only
D. 1, 2, 3, 4 and 6 only
E. 1, 2, 3, 4, 5 and 6 only
A circle can intersect a triangle at:
- 1. One of the vertices, resulting in 1 point of intersection.
2. Two of the triangle's vertices, giving 2 points of intersection.
3. All three vertices (as in the case of an inscribed triangle or circle), leading to 3 points of intersection.
4. Two vertices and two sides, creating 4 points of intersection.
5. One vertex and cut across three sides (intersecting one side twice and the other two sides once), totaling 5 points of intersection.
6. The circle can intersect all three sides twice, resulting in 6 points of intersection.
Hence circle can intersect triangle at 1, 2, 3, 4, 5 or 6 points. (The examples I provided are not the only possible cases of intersection points, just these examples prove that there can be from 1 to 6 intersections).
Answer: E.
Below is the diagram showing possible cases of intersections provided by DestinyChild.
Attachment:
TriangleCircleIntersection88639.jpg [ 5.38 KiB | Viewed 213170 times ]
