Data Sufficiency

If x^3y^4 = 5000, what is the value of y?

1] y is positive
2] x is an integer

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Please give explanations.

vscid wrote:If x^3y^4 = 5000, what is the value of y?

1] y is positive
2] x is an integer

-------------------------
Please give explanations.

5000 = 5^4 2^3

x^3y^4 = 5^4 2^3

( I might be missing something here with integers but ) y^4=5^4

since 5^4 = (-5)^4 we need to know the sign of the Y to answer the question.

Statement 1 gives us this information, but statement 2 does not; therefore I choose A

Stmt I

5000 = 5^4*2^3

Stmt I

y is posItive (doesnt say integer) but can only be 5 and not -5

SUFF

Stmt II

x is an integer

y could be -5 or 5

INSUFF

Choose A)

Used the same method as above, same answer. However, I was not sure about A:

How can we be sure that both X and Y are integers?

If we know that X is an Integer I think its safe to assume that Y is also...and vice versa. But, in A, we don't know that...

For now, I suppose we can just assume that the GMAT is not THAT cruel!

I feel more toward C

How can one assume that X can only be an integer

It could be any value

I may be incorrect But want to know how have you guys ensured that X can only be 2 and not any other value or a a decimal

Or is it an incomplete solution

How can one assume that X can only be an integer

Good question; thought about it since no info was given. But 8 can only be 1 number's cube and that is 2. I am not sure if any other number cubed would be 8.

If it is then I may be missing something.

cramya wrote:

How can one assume that X can only be an integer

Good question; thought about it since no info was given. But 8 can only be 1 number's cube and that is 2. I am not sure if any other number cubed would be 8.

If it is then I may be missing something.

that was the same FLY in my SOUP!

Put y = 5 ^1/4. or better yet, x = 10.

vscid wrote:Put y = 5 ^1/4. or better yet, x = 10.

hence DS is always a fun...

IMO E

qtn doesnt specifiy whether Y is an integer.

Yep, If X is 10, it throws off everything. Looks like E.

I think we have gone through every choice from A TO E with the exception of B

Iamcaste E should be it.



Vsicd,

Pretty good one.
If u could post the official ans that would be great

We can not discriminate. B IT IS THAN!!

logitech wrote:We can not discriminate. B IT IS THAN!!

B? how come you got B now?

By the way, on a scale of 1 to 10, how much would you guys rate this question (with regards to GMAT difficulty level), 10 being most difficult?