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If x and y are greater than 0, is x = 1 ?
(1) x/y = 1
(2) xy = 1
OA C
Source: GMAT Prep
(1) x/y = 1
(2) xy = 1
OA C
Source: GMAT Prep
We have x > 0 and y > 0. We have to determine whether x = 1.BTGmoderatorDC wrote:If x and y are greater than 0, is x = 1 ?
(1) x/y = 1
(2) xy = 1
OA C
Source: GMAT Prep
Let's take each statement one by one.
(1) x/y = 1
Case 1: Say x = y = 1, the answer is Yes.
Case 2: Say x = y = 2, the answer is No.
No unique answer. Insufficient.
(2) xy = 1
Case 1: Say x = y = 1, the answe is Yes.
Case 2: Say x = 2 and y = 1/2, the answer is No.
No unique answer. Insufficient.
(1) and (2) together
From x/y = 1, we have x = y; thus, from xy =1, we have x ^2 = 1 => x = ±1; however, we know that x > 0; thus, x = 1. The answer is Yes. Sufficient.
The correct answer: C
Hope this helps!
-Jay
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