What is the value of a^2b/c? 1. a=1/b and c=1/a 2. b=c and : DS Archive
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# What is the value of a^2b/c? 1. a=1/b and c=1/a 2. b=c and

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Manager
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What is the value of a^2b/c? 1. a=1/b and c=1/a 2. b=c and [#permalink]

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18 Nov 2008, 13:41
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What is the value of a^2b/c?
1. a=1/b and c=1/a
2. b=c and a=4c

Remember this is a Data Sufficiency question.
SVP
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Re: DS - a^2b/c =? [#permalink]

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18 Nov 2008, 23:00
From stmt1:
(a^2)*b/c = (a^2)*1/ac = a/c

From stmt2: a/c = 4
Manager
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Re: DS - a^2b/c =? [#permalink]

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18 Nov 2008, 23:11
nganle08 wrote:
What is the value of a^2b/c?
1. a=1/b and c=1/a
2. b=c and a=4c

Remember this is a Data Sufficiency question.

from 2) we can find out the equation... reduces to (4b)^2b /b which does not give any value..insufficient
from 1) we get . b^(-2b-1) ..not sufficent..
From 1&2 , we have,
4b ^ 2b /b = b^(-2b -1)
Although, it is equation in one variable..but it does not give any solution.
IMO E, OA and official explanation please...
Manager
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Re: DS - a^2b/c =? [#permalink]

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18 Nov 2008, 23:16
scthakur wrote:
From stmt1:
(a^2)*b/c = (a^2)*1/ac = a/c

From stmt2: a/c = 4

I am sorry, that i got the question wrong..
from statement 2) we have, the equation reduced to a^2
from statement 1) The equation reduced to a^2
Hence both are not sufficient individually.
combining the two also wont give any answer.
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Re: DS - a^2b/c =? [#permalink]

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24 Nov 2008, 15:00
OA is C.
With statement 1, a^2b/c = a^2
With statement 2, a^2b/c = a^2.
From statement 1, we have c=1/a. From statement 2, we have a=4c <=> a=4*1/a <=> a^2=4. (A)
Also, from statement 2, when b=c, we cancel b and c from the question, so the question becomes "what is the value of a^2?". We can conclude from (A) that a^2 = 4.
Re: DS - a^2b/c =?   [#permalink] 24 Nov 2008, 15:00
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