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Whenever statement 1 and statement 2 have similar sentences,

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Whenever statement 1 and statement 2 have similar sentences, [#permalink]

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New post 05 Sep 2008, 14:01
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Whenever statement 1 and statement 2 have similar sentences, but numbers are different and in one statement we have the word "more" and other one we have "less". Do the correct answer is always "C" (both statements together are sufficient)?
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Re: Is this method works for all data sufficiency problems? [#permalink]

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New post 05 Sep 2008, 14:35
GMAT_700 wrote:
Whenever statement 1 and statement 2 have similar sentences, but numbers are different and in one statement we have the word "more" and other one we have "less". Do the correct answer is always "C" (both statements together are sufficient)?



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Re: Is this method works for all data sufficiency problems? [#permalink]

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New post 05 Sep 2008, 14:45
Here is the question.
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Re: Is this method works for all data sufficiency problems? [#permalink]

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New post 05 Sep 2008, 15:27
Nooooooo....that's a very wrong assumption you're considering here. Never think this way. Each question has its own logic that could be different from one another. Try to understand what the question is asking. First of all, denote the following:

Fee = f
People = p
Revenue = r

So in general, we know that f*p = r

(1) (f - 0.75) (p + 100) = r or (f - 0.75) (p + 100) = fp, this equation will give us:

fp + 100f + 0.75p - 75 = fp, subtract fp from both sides, 100f + 0.75p - 75 = 0

we have 2 variables and 1 equation. so not suff.


(2) (f + 1.5) (p-100) = r or (f + 1.5) (p-100) = fp, this equation will give us:

fp - 100f + 1.5p - 150 = fp, subtract fp from both sides, -100f + 1.5p - 150 = 0

again, we have 2 variables and 1 equation. so not suff.


(1&2) together, both the equations have 100f in common, so let's set up the 2 equations:

100f = - 0.75p + 75 and 100f = 1.5p - 150, so make these 2 equations equal to each other:

-0.75p + 75 = 1.5p - 150

So as you can see, we have 1 equation and only 1 variable, so it's suff.

Answer is C.
Re: Is this method works for all data sufficiency problems?   [#permalink] 05 Sep 2008, 15:27
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