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Four cylindrical cans with a radius of 2 inches are placed

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Four cylindrical cans with a radius of 2 inches are placed [#permalink] New post 31 Jul 2007, 07:24
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22. Four cylindrical cans with a radius of 2 inches are placed on their bases inside an open square pasteboard box. If the four sides of the box bulge slightly, which of the following could be the internal perimeter of the base of the box, expressed in inches?
(A) 20
(B) 16
(C) 30
(D) 32
(E) 64
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Re: PS full length test 2 [#permalink] New post 31 Jul 2007, 07:44
crazy123 wrote:
22. Four cylindrical cans with a radius of 2 inches are placed on their bases inside an open square pasteboard box. If the four sides of the box bulge slightly, which of the following could be the internal perimeter of the base of the box, expressed in inches?
(A) 20
(B) 16
(C) 30
(D) 32
(E) 64


Should be C (30).

Sides of the square that exactly fits the cylinders will be (2+2)*2 = 8 inches (twice diameter). Therefore, perimeter of such a square will be 32 inches.

Since the square box is bulging slightly, the perimeter should be slightly less or 30 inches.
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Re: PS full length test 2 [#permalink] New post 31 Jul 2007, 08:38
crazy123 wrote:
22. Four cylindrical cans with a radius of 2 inches are placed on their bases inside an open square pasteboard box. If the four sides of the box bulge slightly, which of the following could be the internal perimeter of the base of the box, expressed in inches?
(A) 20
(B) 16
(C) 30
(D) 32
(E) 64


What's the OA ?

I am a bit confused. Will not the box budge a bit even if it's parameter is 32 ?
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Re: PS full length test 2 [#permalink] New post 31 Jul 2007, 09:06
Amit05 wrote:
crazy123 wrote:
22. Four cylindrical cans with a radius of 2 inches are placed on their bases inside an open square pasteboard box. If the four sides of the box bulge slightly, which of the following could be the internal perimeter of the base of the box, expressed in inches?
(A) 20
(B) 16
(C) 30
(D) 32
(E) 64


What's the OA ?

I am a bit confused. Will not the box budge a bit even if it's parameter is 32 ?


In reality it might. :) Theoretically, it should just fit without bulging.
But since the question specifically states "bulge slightly", it can be assumed that the answer should be less than 32.
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 [#permalink] New post 31 Jul 2007, 13:31
This doesn't seem like a real GMAT question. Surely Pearson would not have us trying to judged the slight bulge of a box.
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 [#permalink] New post 31 Jul 2007, 23:03
lanter1 wrote:
This doesn't seem like a real GMAT question. Surely Pearson would not have us trying to judged the slight bulge of a box.


I agree :)
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 [#permalink] New post 31 Jul 2007, 23:44
If the box doesn't bulge, it should be 32. Since it bulges slightly, I would say the perimeter is 30. At 16 and 20, I think the box would break, and at 64, there's more than sufficient space.

So C should be it.
  [#permalink] 31 Jul 2007, 23:44
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