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20 Sep 2023, 08:15
Kudos
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
53% (01:26) correct
47%
(01:43)
wrong
based on 180
sessions
History
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Not Attempted Yet
If x^2 - y^2 = 1, what is the value of x?
(1) x + y = 1/2
(2) y^2 = 9/16
(1) x + y = 1/2
(2) y^2 = 9/16
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
20 Sep 2023, 14:24
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Bunuel
\(x^2 - y^2 = 1\)
\((x+y)(x-y) = 1\)
Statement 1
(1) x + y = 1/2
This statement provides us with the value of x + y. Using the premise we can obtain the value of x - y.
Using both equations, we can find the value of x.
We need not solve the equation in its entirety as this is a DS question, but we do have enough information to solve and find the value of x.
The statement alone is sufficient, and we can eliminate B, C, and E.
Statement 2
(2) y^2 = 9/16
Using this statement we can find the value of \(x^2\).
\(x ^ 2 = 1 + \frac{9}{16}\)
However, when we take the square root on both sides, we will get two values of x, one positive and one negative. Because we can have multiple possible values of x, this statement alone is not sufficient. We can eliminate D.
Option A
20 Jan 2026, 02:32
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