Is x > y?

[PGMAT]

Is x > y?

(1) √x > y

(2) x^3 > y

Can some one please explain?

OA C

[Bill@VeritasPrep]

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.

[GMATGuruNY]

For two alternate approaches, check here:

https://www.beatthegmat.com/ds-inequalit ... 02609.html