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Problem solving [#permalink] New post 30 Nov 2012, 14:28
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A math teacher has 30 cards,each of which is in the shape of a geometric figure.Half of the cards are rectangles,and a third of the cards are rhombuses.If 8 cards are squares.what is the maximum possible number of cards that are circles?

(A)9

(B)10

(C)11

(D)12

(E)13

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Re: Problem solving [#permalink] New post 02 Dec 2012, 13:34
Answer is E. A square is both a rectangle and a rhombus.

15 rectangles, 10 rhombus, 8 squares.
Subtract # of squares from the number or rectangles and number of rhombus

15-8 = 7 (Number of cards that are rectangles but are not squares)
10-8 = 2 (Number of cards that are rhombuses but are not squares)
7+2+8 = 17 cards. 30-17 =13 possible cards as circles.
Re: Problem solving   [#permalink] 02 Dec 2012, 13:34
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