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Abhi077
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19 Oct 2018, 05:06
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
38% (01:06) correct
62%
(01:05)
wrong
based on 106
sessions
History
Date
Time
Result
Not Attempted Yet
Attachment:
GC3.png [ 30.86 KiB | Viewed 4795 times ]
1) Cylinders A and B have equal bases.
2) The height of cylinder B is half the height of cylinder A.
Updated on: 19 Oct 2018, 05:35
Originally posted by GMATinsight on 19 Oct 2018, 05:20.
Last edited by GMATinsight on 19 Oct 2018, 05:35, edited 1 time in total.
Last edited by GMATinsight on 19 Oct 2018, 05:35, edited 1 time in total.
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Abhi077
Volume of Water in a cylinder \(= π*r^2*h\)
Question: what fraction of cylinder A will be filled with water = Volume of Cylinder B / Volume of Cylinder A \(= π*r_B^2*h_B / π*r_A^2*h_A\)?
To find what fraction is Cylinder B of Cylinder A we need
1) Ratio of the radie of cylinder A and B
2) Ratio of the Heights of cylinder A and B
In addition we need the amount of water that the two cylinders carry in beginning. (the highlighted part)
Statement 1: Cylinders A and B have equal bases
i.e. \(r_a = r_b\) but since we don't know the ratio of heights therefore
NOT SUFFICIENT
Statement 2: The height of cylinder B is half the height of cylinder A.
i.e. \(h_B / h_A = 1 / 2\) but since we don't know the ratio of Radie therefore
NOT SUFFICIENT
Combining the two statements
\(h_B / h_A = 1 / 2\) and \(r_a = r_b\) But
The unknown amount of water that the two cylinders have are still unknown hence
NOT SUFFICIENT
Answer: Option E
Abhi077
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19 Oct 2018, 05:28
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Haha GMATinsight you fell right into the trap. Nowhere in the question have they mentioned initial levels of cylinder A, it says' the amout is unknown' So the answer is E.
