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E
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Difficulty:
35%
(medium)
Question Stats:
65% (01:18) correct
35%
(01:38)
wrong
based on 175
sessions
History
Date
Time
Result
Not Attempted Yet
Which of the following lists the number of points at which a circle can intersect a parallelogram?
(A) 2, 4, and 8 only
(B) 2, 4, 6, and 8 only
(C) 1, 2, 3, 4, 6, and 8 only
(D) 2, 3, 4, 5, 6, 7, and 8 only
(E) 1, 2, 3, 4, 5, 6, 7, and 8
(A) 2, 4, and 8 only
(B) 2, 4, 6, and 8 only
(C) 1, 2, 3, 4, 6, and 8 only
(D) 2, 3, 4, 5, 6, 7, and 8 only
(E) 1, 2, 3, 4, 5, 6, 7, and 8
Sat Sep 15, 2012 9:41 am
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Viru
It is much easier to think of the intersection points between a square and a circle. Obviously, a square is a special parallelogram.
A square can intersect a circle in 8 points. See the attached drawing (leftmost figure).
There can be also 7 points of intersection, when one of the sides is tangent to the circle (middle figure). We are down to choose between D and E.
Finally, there can be only one point of intersection, when just one side is tangent to the circle (rightmost figure).
The only choice we are left with is E.
On a real test, you should not spend time to check all possible intersections.
Now, you can try to figure out all the options.
2 and 4 is easy. For 3, 5, and 6 intersection points, consider a rectangle.
Answer E.
Attachments
ParallelogramCircle.jpg [ 16.3 KiB | Viewed 12259 times ]
Thu Jan 27, 2022 3:42 am
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Viru
Similar questions:
https://gmatclub.com/forum/which-of-the ... 92274.html (triangle)
https://gmatclub.com/forum/which-of-the ... 38952.html (parallelogram)
https://gmatclub.com/forum/which-of-the ... 14013.html (square)
https://gmatclub.com/forum/what-is-the- ... 97855.html (10 circles)
https://gmatclub.com/forum/gmatbusters- ... 16475.html (6 circles)
https://gmatclub.com/forum/what-is-the- ... 10362.html (11 circles)
https://gmatclub.com/forum/which-of-the ... 80597.html (two parallel lines)
Hope it helps.
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