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afvatcha
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Post subject: MGMAT CAT#1:Exponents/Algebra Posted: Wed Dec 02, 2009 12:20 am |
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| Course Students |
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Posts: 34
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Hi, I came across this data suff. in the MGMAT CAT#1.
8a(1/4)b = ?
(1) b = 1.5a (2) a = 2
The correct answer is (A).
I understand why (A) is sufficient, but why isn't (B). The explanation says 3a-2b. So we can plug in A and set 3a-2b to 0. Well why can't you do that for (B)?
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Ben Ku
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Post subject: Re: MGMAT CAT#1:Exponents/Algebra Posted: Thu Dec 24, 2009 7:02 pm |
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| ManhattanGMAT Staff |
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Posts: 823
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Please be clear when re-typing the problem. This problem is actually:
(8^a)*(1/4)^b = ?
To do this problem, we can simplify this expression so everything has the same base.
(2^3)^a * (2^-2)^b = 2^3a * 2^-2b = 2^(3a - 2b)
The question is REALLY asking for "What is 3a - 2b?".
Statement (1) is sufficient, because if b = 1.5a, then 3a - 2b = 3a - 2(1.5a) = 3a - 3a = 0.
Hope that helps.
_________________ Ben Ku Instructor ManhattanGMAT
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