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Manager
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If x^3y^4=5,000, is y=5? [#permalink]
 01 Jul 2007, 07:44
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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.
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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.
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Senior Manager
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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.
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Manager
Joined: 03 Mar 2007
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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.
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Director
Joined: 18 Jul 2006
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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
.
.
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Manager
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Is the question:
(x^3)(y^4) = 5000
or
x^3y^4? In which case it would be x ^ 12y?
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Manager
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thanks to all ,
OA is C
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Manager
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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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close
