Hello,
Can you please help with this:
If 1 < y < 2, and 0 < x < 1, is x > 1/2?
1) xy = 1
2) (x - 2/3)(x + 1) = 0
OA: D
Thanks a lot,
Sri
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If 1 < y < 2, and 0 < x < 1, is x > 1/2?
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gmattesttaker2
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Statement 1: xy = 1gmattesttaker2 wrote:Hello,
Can you please help with this:
If 1 < y < 2, and 0 < x < 1, is x > 1/2?
1) xy = 1
2) (x - 2/3)(x + 1) = 0
OA: D
Thanks a lot,
Sri
Thus, y = 1/x.
The question stem indicates that y < 2.
Substituting y = 1/x into y < 2, we get:
1/x < 2.
Since x>0, we can safely multiply each side by x:
1/x * x < 2x
1 < 2x
1/2 < x.
SUFFICIENT.
Statement 2: (x - 2/3)(x + 1) = 0
The solutions of the equation above are x = 2/3 or x = -1.
Since the question stem requires that x be between 0 and 1, it is not possible that x = -1.
Thus, x = 2/3, with the result that x > 1/2.
SUFFICIENT.
The correct answer is D.
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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
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