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by GMATGuruNY » Fri Jan 02, 2015 1:14 am
Which of the following lists the number of points at which a circle can intersect a triangle?

1. 2 and 6 only
2. 2, 4, and 6 only
3. 1, 2, 3, and 6 only
4. 1, 2, 3, 4, and 6 only
5. 1, 2, 3, 4, 5, and 6
Notice how the answer choices DIFFER.
Only E states that the circle and the triangle can intersect at 5 points.
If it's possible for there to be 5 intersections, A, B, C and D can be eliminated.

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Since 5 intersections are possible, eliminate A, B, C and D.

The correct answer is E.
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by akhilsuhag » Fri Jan 02, 2015 1:42 am
Thanks so much Mitch for your replies. Really appreciate it!
Please press "thanks" if you think my post has helped you.. Cheers!!
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by Brent@GMATPrepNow » Fri Jan 02, 2015 8:13 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
If you didn't recognize the fact that only answer choice E has 5 intersections, you could try sketching each scenario.

Image
Answer: E

The important takeaway here is that "intersect" does not necessarily mean "pass through"
So, a line that is tangent to a circle (touching the circle but not passing through it) can be said to intersect the circle. To intersect is to share a common point.

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