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

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Manager
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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
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01 Jul 2007, 09:10
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
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01 Jul 2007, 12:02
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
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01 Jul 2007, 20:33
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
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02 Jul 2007, 08:29
Is the question:

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

or

x^3y^4? In which case it would be x ^ 12y?
Manager
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08 Jul 2007, 05:21
thanks to all ,

OA is C
Manager
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09 Jul 2007, 08:57
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..
09 Jul 2007, 08:57
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