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# A circular piece of metal of maximum size is cut out of a

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Senior Manager
Joined: 30 Aug 2003
Posts: 329
Location: BACARDIVILLE
A circular piece of metal of maximum size is cut out of a [#permalink]

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13 Mar 2004, 17:03
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A circular piece of metal of maximum size is cut out of a square. Subsequently, a square piece of maximum size is cut out of this circle. What is area of the resulting square?

25% of the original square
75% of the original square
50% of the original square
75% of the circle
Cannot be determined
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Pls include reasoning along with all answer posts.
****GMAT Loco****
Este examen me conduce jodiendo loco

Director
Joined: 03 Jul 2003
Posts: 652

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13 Mar 2004, 18:31
Ans: 50% of original square.

Draw a square , inside a circile and inside the circle another square.

If out side square side is assumed as 1, then inside square is 1/SQRT(2).

From it, we can deduce, the area of the inside square is half of the
outside square.
Manager
Joined: 16 Jan 2004
Posts: 64
Location: NJ

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14 Mar 2004, 14:05
50.

Pick a number side of Original sq = 10 Area = 100

the Side of the smaller square wille 5SQRT2 and area will be 50 which is 50% of the area of original sqk
14 Mar 2004, 14:05
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