DS - Set 25 Math

[f2001290]

If (x^3)(y^4)=5,000, is y=5?
(1)y is a positive integer.
(2)x is an integer.

I chose A, but the answer turned out to be C. Any explanation ???

[drhomler]

If X were not an integer than X^3 could be a fraction such that the cubed root of x were equal to 1/2 and Y=10. Or if x were an integer than y=5 without knowing that the data is insufficient. That is the best I can come up with not sure if it is correct, but I think so.

[Prasanna]

If X were not an integer than X^3 could be a fraction such that the cubed root of x were equal to 1/2 and Y=10. Or if x were an integer than y=5 without knowing that the data is insufficient. That is the best I can come up with not sure if it is correct, but I think so.

One way of looking at this could be to factorize 5000 which is 2*2*2*5*5*5*5. When we consider both the statements, we know that both x and y should be positive numbers and hence y=5