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

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Intern
Joined: 08 Nov 2008
Posts: 38
If x^3y^4=5,000, is y=5? (1)y is a positive integer. (2)x is [#permalink]

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19 Nov 2008, 15:53
If x^3y^4=5,000, is y=5?
(1)y is a positive integer.
(2)x is an integer.
____________________________________________________________
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
Answer:

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Joined: 29 Aug 2007
Posts: 2452
Re: x,y intergers-25 [#permalink]

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28 Nov 2008, 13:40
gorden wrote:
If x^3 y^4=5,000, is y=5?

(1) y is a positive integer.
(2) x is an integer.

(x^3) (y^4) = 5,000,

5,000 = (2x2x2) (5x5x5x5) but 5 could be -ve where as 2 cannot be.

1: y could be 1 or 5. nsf......
2: x is any +ve integer. nsf..

1&2: We know that x and y are integers and y is +ve as well, y must be 5.

So it is C.

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Re: x,y intergers-25   [#permalink] 28 Nov 2008, 13:40
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# If x^3y^4=5,000, is y=5? (1)y is a positive integer. (2)x is

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