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# If x^3y^4=5,000, is y=5?

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Manager
Joined: 20 Mar 2005
Posts: 170
Followers: 2

Kudos [?]: 23 [0], given: 0

If x^3y^4=5,000, is y=5? [#permalink]  01 Jul 2007, 06:44
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Q5
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.
Senior Manager
Joined: 28 Feb 2007
Posts: 306
Followers: 1

Kudos [?]: 32 [0], given: 0

go with C.

statement-1) Insuff. Because

a) NO: 1^4*(third root of 5000) ^3=5000 ,
y=/=5 (here y=1)but positive integer

b) YES: 5000= 5^4*2^3

Statement-2) Insuff. Because

a) 5000=(fourth root of 5)^4 * 10^3 ------NO, here y=fourth root of 5.

b) YES: 5000= 5^4*2^3

Statement 1+2) SUFF. 5000=5^4*2^3.
Manager
Joined: 03 Mar 2007
Posts: 164
Followers: 1

Kudos [?]: 14 [0], given: 0

I got A.

1- y is a positive integer.

5000 = (2^3)(5^4)

y = 5 or -5

but it tells you that y is positive so 5.

2- INSUFF tells you nothing about y.
Director
Joined: 18 Jul 2006
Posts: 531
Followers: 1

Kudos [?]: 28 [0], given: 0

Should be C.

(1) fails when x is not integer, e.g
for y =1 => (x^1/3)^3 * (1^4) = 5000
for y =2 => (x^1/3)^3 * (2^4) = 5000
.
.
Manager
Joined: 03 Mar 2007
Posts: 164
Followers: 1

Kudos [?]: 14 [0], given: 0

Is the question:

(x^3)(y^4) = 5000

or

x^3y^4? In which case it would be x ^ 12y?
Manager
Joined: 20 Mar 2005
Posts: 170
Followers: 2

Kudos [?]: 23 [0], given: 0

thanks to all ,

OA is C
Manager
Joined: 29 May 2007
Posts: 97
Followers: 2

Kudos [?]: 2 [0], given: 0

Can someone pls clarfiy this:

to satisfy the condition i started picking numbers:

I can think of only: x=2 and y=5

Hence both A & B will satisfy I am thinking of D..BUt OA is C..Can you please calrify..
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