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

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Joined: 02 Sep 2009
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If x and y are positive integers, what is the value of x?  [#permalink]

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New post 19 Nov 2017, 09:56
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

70% (01:08) correct 30% (01:23) wrong based on 65 sessions

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Manager
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Joined: 20 Feb 2017
Posts: 166
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Concentration: Operations, Strategy
WE: Engineering (Other)
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Re: If x and y are positive integers, what is the value of x?  [#permalink]

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New post 19 Nov 2017, 10:51
1
From statement A
3^x*5^y = 1125 (9X 125)
=> 3^x*5^y = 3^2*5^3
hence X is 2
sufficient
Statement 2
we don't know anything about x
hence insufficient
Answer should be A
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Re: If x and y are positive integers, what is the value of x?  [#permalink]

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New post 19 Nov 2017, 12:03
1
Info: x & y => pos int
Ques: x = ?

(1) 3^x*5^y = 1125
using prime factorisation --> 1125 = 3*3*5*5*5, hence, 1125 = 3^2*5^3
therefore, x=2.
St (1) is sufficient, hence, answer choices AD remaining [BCE are eliminated]

(2) y = 3
This does not say anything about x. From question info all we know is that x has to be a positive integer.
Therefore, infinite values are possible for x.
St (2) is insufficient, hence, D is eliminated.

Option A is the correct choice.
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Re: If x and y are positive integers, what is the value of x?  [#permalink]

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New post 20 Nov 2017, 02:23
Statement 1) \(3^x * 5^y = 1125\) by factorizing 1125 we get \(1125= 3^2 * 5^3\) which is sufficient and answers the value of x

Statement 2) Insufficient as it provides the value of y. It could have been used as a hint to indicate the value to be used in statement 1)

The answer is A
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Re: If x and y are positive integers, what is the value of x? &nbs [#permalink] 20 Nov 2017, 02:23
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If x and y are positive integers, what is the value of x?

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