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Is x > y?

Expert replies
Source: — Data Sufficiency |

by Bill@VeritasPrep » Sat Apr 07, 2012 3:15 pm
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.
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by GMATGuruNY » Sat Apr 07, 2012 5:06 pm
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