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What is the maximum number of rectangular blocks, each with [#permalink]
 18 Jul 2009, 19:16
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75% (01:45) correct
25% (00:49) wrong based on 3 sessions
What is the maximum number of rectangular blocks, each with dimensions 12 centimeters by 6 centimeters by 4 centimeters, that will fit inside rectangular box X? (1) When box X is filled with the blocks and rests on a certain side, there are 25 blocks in the bottom layer. (2) The inside dimensions of box X are 60 centimeters by 30 centimeters by 20 centimeters.
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Last edited by Bunuel on 25 Mar 2012, 03:26, edited 1 time in total.
Edited the question and added the OA
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Re: Maximumb blocks [#permalink]
18 Jul 2009, 21:31
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Stmt 1 ) we don't know how the blocks are arranged in the bottom row, ie: are they resting on 12cm dimension or 6 cm dimension or 4cm dimension
(2) The inside dimensions of box X are 60 centimeters by 30 centimeters by 20 centimeters.
No of Blocks = volume of the outside box/ volume of the inside small boxes = (60*30*20)/12*6*4
So Stmt 2 is sufficient so it is B
Can you please confirm with the OA
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Re: What is the maximum number of retangular blocks, each with [#permalink]
25 Mar 2012, 03:45
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mymbadreamz wrote: I didn't get this explanation. Can someone explain? Thanks. What is the maximum number of rectangular blocks, each with dimensions 12 centimeters by 6 centimeters by 4 centimeters, that will fit inside rectangular box X? (1) When box X is filled with the blocks and rests on a certain side, there are 25 blocks in the bottom layer. Useless info: the maximum # of boxes clearly will be different for the box X with the height of 12 centimeters and for the box X with the height of 12,000 centimeters (for example). Not sufficient. (2) The inside dimensions of box X are 60 centimeters by 30 centimeters by 20 centimeters --> we have the dimensions of the little boxes as well as the dimensions of box X (basically we have all the info we could possibly knew), hence we can calculate the maximum # of boxes that will fit inside box X, no matter what this # actually is. Sufficient. Answer: B. Hope it helps.
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Re: Maximumb blocks [#permalink]
19 Jul 2009, 10:41
What is the maximum number of retangular blocks, each with dimensions 12 centimeters by 6 centimeters by 4 centimeters, that will fit inside rectangular box X?
1. When box X is filled with the blocks and rests on a certain side, there are 25 blocks in the bottom layer.
2. the inside dimensions of Box X are 60 centimeters by 30 centimeters by 20 centimeters.
25 = 25*1 or 5*5 so the only possible arrangement of the boxes is 25 of one row or 5*5 rows with each arrangement we can have differnt dimension for the big box........insuff
from 2
thinking volume 12*6*4 = 288 for each samll box , 36000 = volume of big one thus max number is 36000/288 = 125 boxes..suff
B is my answer
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Re: What is the maximum number of retangular blocks, each with [#permalink]
25 Mar 2012, 03:04
I didn't get this explanation. Can someone explain? Thanks.
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What is the maximum number of rectangular blocks, each with dimensions 12cms by 6cms by 4cms, that will fit inside rectangular box X?
1. When box X is filled with the blocks and rests on a certain side, there are 25 blocks in the bottom layer.
2. The inside dimensions of box X are 60cms by 30cms by 20 cms.
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Re: Data Sufficiency [#permalink]
08 May 2012, 23:50
Clearly (B) Statement 1: This will give us two dimensions of the larger box, but since we do not know the height of the larger box, this is insufficient. Statement 2: We know the dimensions of the larger box so we can calculate. Sufficient. B it is
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Re: Data Sufficiency [#permalink]
09 May 2012, 02:59
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Re: Data Sufficiency
[#permalink]
09 May 2012, 02:59
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