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Sub 505 (Easy)|   Algebra|      
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Bunuel
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If A = (x/3)/(2/y) what is A ? (1) xy = 8 (2) x/y = 2 09 Mar 2020, 05:11
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If \(A = \frac{\frac{x}{3}}{\frac{2}{y}}\) what is A ?


(1) \(xy = 8\)

(2) \(\frac{x}{y} = 2\)
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A
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GMAT Focus 1: 735 Q90 V89 DI81
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If A = (x/3)/(2/y) what is A ? (1) xy = 8 (2) x/y = 2 09 Mar 2020, 20:08
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Bunuel
If \(A = \frac{\frac{x}{3}}{\frac{2}{y}}\) what is A ?


(1) \(xy = 8\)

(2) \(\frac{x}{y} = 2\)
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\(A=\frac{x}{3}/\frac{2}{y}=\frac{x}{3}*\frac{y}{2}=\frac{xy}{6}\)
So we require the value of xy

1) xy=8
Sufficient

2. x/y=2
We cannot find value of x and y or value of xy
Insufficient

A
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If A = (x/3)/(2/y) what is A ? (1) xy = 8 (2) x/y = 2 09 Mar 2020, 21:55
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So A is basically = (xy/6), we need to find x*y

#1. Sufficient
#2. x= 2y, Insufficient.


Only #1 alone is sufficient (A)

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If \(A = \frac{\frac{x}{3}}{\frac{2}{y}}\) what is A ?


(1) \(xy = 8\)

(2) \(\frac{x}{y} = 2\)
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If A = (x/3)/(2/y) what is A ? (1) xy = 8 (2) x/y = 2 10 Mar 2020, 05:04
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When we simplify the question stem, we get A = \(\frac{xy }{ 6}\). So, to find out the value of A, we will have to find the value of the product of x and y.

Remember, \(\frac{a}{b}\) /\( \frac{c}{d }\) can be written as \(\frac{ad}{bc}\). This is the basic principle of dividing one fraction by another.

From statement I alone, we have xy = 8. This is sufficient to find the value of A since A = \(\frac{xy}{3}\). Remember that, in DS, you don’t have to find the exact answer all the time.
Statement I alone is sufficient. Answer options B, C and E can be eliminated. Possible answer options are A or D.

From statement II alone, we have \(\frac{x}{y}\) = 2. This means x = 2y and hence xy = 2\(y^2\). Therefore, A = \(\frac{2y^2 }{ 6}\) or A = \(\frac{y^2}{3}\) which is insufficient to find a value of A.

Statement II alone is insufficient. Answer option D can be eliminated. The correct answer option is A.

Hope that helps!
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