It is currently 14 Dec 2017, 20:37

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

Author Message
TAGS:

### Hide Tags

Math Expert
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]

### Show Tags

19 Nov 2017, 08:56
Expert's post
2
This post was
BOOKMARKED
00:00

Difficulty:

45% (medium)

Question Stats:

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

### HideShow timer Statistics

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

(1) 3^x*5^y = 1125
(2) y = 3
[Reveal] Spoiler: OA

_________________

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

Intern
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]

### Show Tags

19 Nov 2017, 09:51
1
This post was
BOOKMARKED
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

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

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

### Show Tags

19 Nov 2017, 11:03
1
This post was
BOOKMARKED
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
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]

### Show Tags

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)

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
Display posts from previous: Sort by