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Please help with fractions!

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by Anju@Gurome » Fri Mar 22, 2013 7:34 am
S = (2/n)/[1/x + 2/(3x)]

Numerator = 1/x + 2/(3x) = [3 + 2]/(3x) = 5/(3x)

Hence, S = (2/n)/[5/(3x)] = (6x)/(5n)

Statement 1: x = 2n
Hence, S = (6*2n)/(5n) = 12/5

Sufficient

Statement 2: n = 1/2
We don't know the value of x.

Not sufficient

The correct answer is A.
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by GMATGuruNY » Sat Mar 23, 2013 3:08 am
If S = (2/n) / (1/x + 2/(3x)), what is the value of S?

1. x = 2n
2. n = 1/2
Statement 1: x=2n
Try two cases.

Case 1: n=1 and x=2.
S = (2/1) / (1/2 + 2/(3*2)) = 2 / (1/2 + 1/3) = 2 / (5/6) = 12/5.

Case 2: n=2 and x=4.
S = (2/2) / (1/4 + 2/(3*4)) = 1 / (1/4 + 1/6) = 1 / (5/12) = 12/5.

Since S = 12/5 in each case, SUFFICIENT.

Statement 2: n = 1/2
No information about x.
INSUFFICIENT.

The correct answer is A.
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by indiheats » Sat Mar 23, 2013 11:32 am
I believe this would be easiest to solve with simple substitution.

(1) You will notice you have a "N" in the numerator and after substitution, a N in the denominator. This will help you simply cancel the N's out and the answer will be independent of the variable N.... a numeric answer

SUFFICIENT

(2) After substitution, here, you are still left with X in the denominator and only the numerator can be solved. Since this will leave a variable in the answer, it is INSUFFICIENT.

Answer: A
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