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DS question from Kaplan

by elangovan28 » Wed Dec 01, 2010 8:42 am
How many cylindrical cans with radius of 2 inches and a height of 6 inches can fit into a rectangular box?
1) The volume of the box is 230 cub inches
2)The length of the box is 3 inches.

My answer is (5), neither of them is sufficient.

But Kaplan book says that statement (2) is enough to answer the question.

Can you give me some feedback?

Cheers,
Krishnan
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by Rahul@gurome » Wed Dec 01, 2010 9:31 am
elangovan28 wrote:How many cylindrical cans with radius of 2 inches and a height of 6 inches can fit into a rectangular box?
1) The volume of the box is 230 cub inches
2)The length of the box is 3 inches.
It's an excellent question with a great moral: Don't start attacking a question with all your formulas when you see one! They may not be of any use. :)

Given: Cylindrical can with radius = 2 and length = 6. Thus the three dimension of the can are 6, 4 and 4.

Statement: The volume of the box is 230 cube inches.
No information about the individual dimensions.

Not sufficient.

Statement: The length of the box is 3 inches.
In first thought you may conclude that we don't know about the other dimensions, but this is a very important statement which tells that at least one dimension of the box is less than any of the dimensions of the cylinder! Thus it's not possible to put a single cylinder in the box.

Sufficient.

The correct answer is B.
Rahul Lakhani
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