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# A rectangular sheet of paper of length L units and breadth W units

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Senior Manager
Joined: 25 Dec 2018
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Concentration: General Management, Finance
GMAT Date: 02-18-2019
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WE: Engineering (Consulting)
A rectangular sheet of paper of length L units and breadth W units  [#permalink]

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06 Apr 2019, 06:15
00:00

Difficulty:

95% (hard)

Question Stats:

17% (02:04) correct 83% (02:32) wrong based on 18 sessions

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A rectangular sheet of paper of length L units and breadth W units is to be cut into the least possible number of equal squares of side S units such that the sheet is totally used up. If L, W and S are integers and L and W are both greater than 1, what is the value of S?

(1) The product of L and W is 63 square units

(2) The side of the smallest square that can be made by placing side-by-side a number of sheets of length L units and breadth W units is 63 units.
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Re: A rectangular sheet of paper of length L units and breadth W units  [#permalink]

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06 Apr 2019, 06:39
2
This is how I solved:

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IMG_20190406_190902.jpg [ 2.18 MiB | Viewed 282 times ]

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Re: A rectangular sheet of paper of length L units and breadth W units  [#permalink]

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08 Apr 2019, 06:34
But how can the value 7x9 give possibly squares and that too minimum number. So 21x3 should be the choice. Making the answer to be A.

Posted from my mobile device
Manager
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Re: A rectangular sheet of paper of length L units and breadth W units  [#permalink]

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08 Apr 2019, 06:56
anubhavgl wrote:
But how can the value 7x9 give possibly squares and that too minimum number. So 21x3 should be the choice. Making the answer to be A.

Posted from my mobile device

9x7 can only give 1x1 equal squares whereas in 21x3 can give 3x3 equal squares. Different answers. Insufficient!
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Re: A rectangular sheet of paper of length L units and breadth W units   [#permalink] 08 Apr 2019, 06:56
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