If x and y are positive integers, what is the value of x? : DS Archive
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# If x and y are positive integers, what is the value of x?

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Manager
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If x and y are positive integers, what is the value of x? [#permalink]

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16 Oct 2008, 06:58
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If x and y are positive integers, what is the value of x?
(1) 3^x*5^y = 1,125 (3 power of x times 5 power of y)
(2) y = 3
Director
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16 Oct 2008, 07:06
linau1982 wrote:
If x and y are positive integers, what is the value of x?
(1) 3^x*5^y = 1,125 (3 power of x times 5 power of y)
(2) y = 3

(1) Sufficient

1125 = 125*9 = (3^2)*(5^3)
x = 2

(2) Insufficient
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16 Oct 2008, 09:33
linau1982 wrote:
If x and y are positive integers, what is the value of x?
(1) 3^x*5^y = 1,125 (3 power of x times 5 power of y)
(2) y = 3

statement 1: if you factorize 1125, you will get 5^3 * 3^2
so you know X=2. hence sufficient

statement 2 : gives only value of Y, hence insufficient
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16 Oct 2008, 10:12
Its D

1. Sufficient coz 3^2 * 5^3 = 1125

2. Sufficient coz 3^x * 5^3 = 1125

3^x = 9

so x = 2
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16 Oct 2008, 10:39
dbaner1 wrote:
Its D

1. Sufficient coz 3^2 * 5^3 = 1125

2. Sufficient coz 3^x * 5^3 = 1125

3^x = 9

so x = 2

how did you get D

statement 2: gives only y=3
why are you taking the equation from the first statement.
answer D wud mean that both the statements alone is sufficient to give the value of X.
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16 Oct 2008, 16:26
ALD wrote:
linau1982 wrote:
If x and y are positive integers, what is the value of x?
(1) 3^x*5^y = 1,125 (3 power of x times 5 power of y)
(2) y = 3

statement 1: if you factorize 1125, you will get 5^3 * 3^2
so you know X=2. hence sufficient

statement 2 : gives only value of Y, hence insufficient

agreed
Re: DS   [#permalink] 16 Oct 2008, 16:26
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