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Ramon wants to cut a rectangular board into identical square pieces.

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Joined: 02 Sep 2009
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Ramon wants to cut a rectangular board into identical square pieces.  [#permalink]

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New post 13 Aug 2018, 04:52
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A
B
C
D
E

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Question Stats:

69% (01:43) correct 31% (01:22) wrong based on 43 sessions

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Joined: 11 Jun 2011
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Re: Ramon wants to cut a rectangular board into identical square pieces.  [#permalink]

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New post 13 Aug 2018, 07:23
Bunuel wrote:
Ramon wants to cut a rectangular board into identical square pieces. If the board is 18 inches by 30 inches, what is the least number of square pieces he can cut without wasting any of the board?

(A) 4
(B) 6
(C) 9
(D) 12
(E) 15
HCF (18,30) = 15 ; Answer must be (E)
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Re: Ramon wants to cut a rectangular board into identical square pieces.  [#permalink]

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New post 13 Aug 2018, 07:37
Bunuel wrote:
Ramon wants to cut a rectangular board into identical square pieces. If the board is 18 inches by 30 inches, what is the least number of square pieces he can cut without wasting any of the board?

(A) 4
(B) 6
(C) 9
(D) 12
(E) 15


To get squares, both length and breadth should be the same. To get least number of squares, this side length should be maximum. So we are looking for the largest common factor of 18 and 30 which is 6.
The 18 inches side will be divided into 3 pieces and 30 inches side will be divided into 5 pieces.
Total number of pieces = 3 * 5 = 15

Answer (E)
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Re: Ramon wants to cut a rectangular board into identical square pieces.   [#permalink] 13 Aug 2018, 07:37
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