Is x > y?
(1) √x > y
(2) x^3 > y
Can some one please explain?
OA C
Is x > y?
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1) If x=4 and y =1, then sqrt(x) = 2 and x > y. However, if x = 1/4 and y = 1/3, then sqrt(x) = 1/2 and x < y. Insufficient.
2) If x=4 and y=1, then x^3 = 64 and x > y. However, if x=4 and y=6, x^3 is still greater than y, but x < y. Insufficient.
Combined, Statement 2 rules out the fraction possibility from Statement 1, and Statement 1 rules out the second example from Statement 2. If the square root of x and x^3 are both greater than y, then x itself must also be greater than Y. Sufficient.
2) If x=4 and y=1, then x^3 = 64 and x > y. However, if x=4 and y=6, x^3 is still greater than y, but x < y. Insufficient.
Combined, Statement 2 rules out the fraction possibility from Statement 1, and Statement 1 rules out the second example from Statement 2. If the square root of x and x^3 are both greater than y, then x itself must also be greater than Y. Sufficient.
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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.
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