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

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Manager
Joined: 12 Oct 2008
Posts: 100
If x and y are positive integers, what is the value of x? [#permalink]

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16 Oct 2008, 07:58
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100% (00:00) correct 0% (00:00) wrong based on 2 sessions

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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

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Director
Joined: 12 Jul 2008
Posts: 512
Schools: Wharton

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16 Oct 2008, 08:06
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
Manager
Joined: 15 Apr 2008
Posts: 159

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16 Oct 2008, 10:33
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

The answer is A

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
Intern
Joined: 29 Aug 2008
Posts: 8

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16 Oct 2008, 11:12
Its D

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

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

3^x = 9

so x = 2
Manager
Joined: 15 Apr 2008
Posts: 159

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16 Oct 2008, 11:39
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.
Senior Manager
Joined: 21 Apr 2008
Posts: 265
Location: Motortown

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16 Oct 2008, 17:26
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

The answer is A

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

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

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Re: DS   [#permalink] 16 Oct 2008, 17:26
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# If x and y are positive integers, what is the value of x?

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