What is the value of xy?
(1) x=3/y
(2) (xy)^2 = 9
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What is the value of xy?
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GMATGuruNY
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Statement 1: x = 3/yamontobin wrote:What is the value of xy?
(1) x=3/y
(2) (xy)^2 = 9
Multiplying both sides by y, we get:
xy = (3/y)(y)
xy = 3.
SUFFICIENT.
Statement 2: (xy)² = 9
Here, it's possible that xy = 3 or that xy = -3.
Since xy can be different values, INSUFFICIENT.
The correct answer is A.
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Jay@ManhattanReview
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Statement 1: x = 3/yamontobin wrote:What is the value of xy?
(1) x=3/y
(2) (xy)^2 = 9
Multiplying both the sides by y, we get
x * y= (3/y)*y
xy = 3. Sufficient.
Statement 1: (xy)^2 = 9
Taking the square root of both the sides.
√(xy)^2 = √9
= xy = ±3
xy can be 3 or -3. No unique value. Not sufficient.
The correct answer: A
Hope this helps!
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