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Updated on: 22 Nov 2013, 11:31
Originally posted by sonuindia88 on 22 Jan 2011, 03:22.
Last edited by Bunuel on 22 Nov 2013, 11:31, edited 1 time in total.
Last edited by Bunuel on 22 Nov 2013, 11:31, edited 1 time in total.
Edited the question.
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
43% (02:25) correct
57%
(02:25)
wrong
based on 205
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A container has a capacity of 20 gallons and is full of spirit. 4 gallons of spirit is drawn out and the container is again filled with water. This process is repeated 5 times. Find how much spirit is left in the resulting mixture finally?
A. 6(257/525) gallons
B. 6(346/625) gallons
C. 6.5 gallons
D. 6.25 gallons
E. None of these
A. 6(257/525) gallons
B. 6(346/625) gallons
C. 6.5 gallons
D. 6.25 gallons
E. None of these
22 Jan 2011, 10:43
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sonuindia88
First of all I think it should be 20 gallons instead of 200 in order the answer to be B.
Note that 4 gallons is 20% of a capacity. Now, when we remove 20% of spirit for the first time 80% of spirit is left --> when we remove 4 gallons of the mixture for the second time, or again 20% of the capacity, we still remove 20% of the remaining spirit with it (this 4 gallons of the mixture, which is 20% of the capacity, contains 20% of the remaining spirit), so again 80% of the spirit is left... So every time we remove 4 gallons, we re move 20% of the remaining spirit and 80% is left. So after 5 removals there will be 20*0.8^5 gallons of spirit left: \(20*(\frac{4}{5})^5=\frac{4^6}{5^4}= 6\frac{346}{625}\).
Answer: B.
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General Discussion
jlgdr
Joined: 06 Sep 2013
Last visit: 24 Jul 2015
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Concentration: Finance
Schools: Wharton '17 (A) HBS '17 (WA$)
22 Nov 2013, 11:27
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sonuindia88
sonuindia88 please correct question I think it should be 20 instead of 200
Cheers
J
