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GMAT PREP PS Problem

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GMAT PREP PS Problem

by alex.gellatly » Sat Apr 21, 2012 4:16 am
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

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by Shalabh's Quants » Sat Apr 21, 2012 5:47 am
alex.gellatly wrote: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

Thanks
Its E.

>> 1 Point...

Circle passes through one of the vertices of triangle.

>> 2 Point...

Circle intersects one side at 2 points of triangle.

>> 3 Point...

Circle is InCircle or CircumCircle.

>> 4 Point...

Circle intersects one side at 2 points and 2 other sides at 1 point of triangle.

>> 5 Point...

Circle intersects one side at 2 points, 2 other sides at 1 point and a passes though one of the veritices of triangle.

>> 6 Point...

Circle intersects all side at 2 points each of triangle.
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by alex.gellatly » Sat Apr 21, 2012 5:37 pm
Thanks... but I guess I simply don't understand what this questions is even asking. Can someone please explain.

Thanks
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by Stuart@KaplanGMAT » Sat Apr 21, 2012 10:25 pm
alex.gellatly wrote:Thanks... but I guess I simply don't understand what this questions is even asking. Can someone please explain.

Thanks
Hi Alex!

This question has been posted and explained many times. If you do a search on "circle intersect triangle" you'll find a number of detailed solutions, many of which have very informative diagrams.

Happy hunting!
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by Shalabh's Quants » Sat Apr 21, 2012 10:37 pm
alex.gellatly wrote:Thanks... but I guess I simply don't understand what this questions is even asking. Can someone please explain.

Thanks
Pl. see the attachment. :)
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circle intersecting triangle.docx
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by alex.gellatly » Sun Apr 22, 2012 1:14 am
Shalabh's Quants wrote:
alex.gellatly wrote:Thanks... but I guess I simply don't understand what this questions is even asking. Can someone please explain.

Thanks
Pl. see the attachment. :)
Your diagram is so clear, now I understand thanks! It's not really that difficult question after all. When I read it.. I was so confused. Thanks!
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by [email protected] » Sun Apr 22, 2012 4:31 am
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


So the question is basically asking that can all the six points on a circle intersect a triangle or no... Or a limited no. of points on the circle can intersect the triangle.

The attachment clearly shows that all the 6 points very comfortably can intersect the triangle.

There are many figures who are intersected at a specific number of points, and hence this question. No rocket science is asked here...

Hence the correct answer is E...

Hope this helps to understand.
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