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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
72% (03:13) correct
28%
(02:54)
wrong
based on 342
sessions
History
Date
Time
Result
Not Attempted Yet
A small cubical aquarium has a depth of 1 foot. In the small aquarium there is a big fish with volume 44 cubic inches. A big cubical aquarium has depth of 2 feet and 88 fish, each with a volume of 2 cubic inches. What is the difference in the amount of water between the two aquariums if they are both completely filled?
(A) 246 cubic inches
(B) 300 cubic inches
(C) 11,964 cubic inches
(D) 13,824 cubic inches
(E) 16,348 cubic inches
(A) 246 cubic inches
(B) 300 cubic inches
(C) 11,964 cubic inches
(D) 13,824 cubic inches
(E) 16,348 cubic inches
06 Mar 2011, 21:40
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MRHDK1
Notice that while the answer options are wide apart, volume of fish is very small as compared to volume of aquariums.
Just do \(24^3 - 12^3 = 12^3(2^3 - 1) = 144*12*7 = 12096\)
now the actual difference will be less than 12096 but around this number. So answer has to be (C).
In case the answer options were close, the last digit of the options would have been different so you could have just figured out the last digit.
In case the answer options were close and multiple options had the same last digit as the answer, then it would not have been a GMAT question at all. GMAT doesn't expect you to do such calculations. Even the one done above is a little extreme.
General Discussion
06 Jun 2008, 11:29
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11964.
In small aq. there are 12^3-44 cubic inches of water. In big one: 24^3-88*2 c.i.
For difference subtract the small from the large, this will give 11964.
(you need to know that 1 foot = 12 inches).
In small aq. there are 12^3-44 cubic inches of water. In big one: 24^3-88*2 c.i.
For difference subtract the small from the large, this will give 11964.
(you need to know that 1 foot = 12 inches).
