DS - Set 25 Math

This topic has expert replies
User avatar
Master | Next Rank: 500 Posts
Posts: 400
Joined: Sat Mar 10, 2007 4:04 am
Thanked: 1 times
Followed by:1 members

DS - Set 25 Math

by f2001290 » Tue Jun 12, 2007 1:36 pm
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 ???

Master | Next Rank: 500 Posts
Posts: 141
Joined: Thu May 03, 2007 1:15 pm

by drhomler » Tue Jun 12, 2007 1:46 pm
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.

User avatar
Master | Next Rank: 500 Posts
Posts: 418
Joined: Mon Feb 26, 2007 6:41 pm
Thanked: 24 times

by Prasanna » Tue Jun 12, 2007 3:54 pm
drhomler wrote: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