Rectangular Blocks

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Rectangular Blocks

by fighting_cax » Sun Apr 12, 2009 3:37 pm
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.

OA is B

Please explain.
Source: — Data Sufficiency |

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by gmat740 » Sun Apr 12, 2009 6:33 pm
(1) When box X is filled with the blocks and rests on a certain side, there are 25 blocks in the bottom layer.


we don't know how the blocks are arranged in the bottom row, ie: are they resting on 12cm dimension or 6 cm dimension
(2) The inside dimensions of box X are 60 centimeters by 30 centimeters by 20 centimeters.
No of Blocks = (60*30*20)/12*6*4

So OA is B

Hope this helps

karan