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

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Expert Post
Math Expert
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V
Joined: 02 Sep 2009
Posts: 42604

Kudos [?]: 135673 [0], given: 12706

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

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New post 19 Nov 2017, 08:56
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A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

70% (00:37) correct 30% (00:44) wrong based on 43 sessions

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Kudos [?]: 135673 [0], given: 12706

Intern
Intern
avatar
B
Joined: 20 Feb 2017
Posts: 41

Kudos [?]: 4 [0], given: 435

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

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New post 19 Nov 2017, 09:51
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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

Kudos [?]: 4 [0], given: 435

Intern
Intern
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B
Joined: 16 Aug 2016
Posts: 15

Kudos [?]: 8 [0], given: 37

Location: India
GMAT 1: 460 Q35 V19
GPA: 3.6
WE: Brand Management (Retail)
GMAT ToolKit User CAT Tests
Re: If x and y are positive integers, what is the value of x? [#permalink]

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New post 19 Nov 2017, 11:03
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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.

Kudos [?]: 8 [0], given: 37

Intern
Intern
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B
Joined: 19 Oct 2013
Posts: 13

Kudos [?]: 7 [0], given: 59

Location: Kuwait
GPA: 3.2
WE: Engineering (Real Estate)
Re: If x and y are positive integers, what is the value of x? [#permalink]

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New post 20 Nov 2017, 01:23
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

Kudos [?]: 7 [0], given: 59

Re: If x and y are positive integers, what is the value of x?   [#permalink] 20 Nov 2017, 01:23
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If x and y are positive integers, what is the value of x?

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