NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 02:28 It is currently 26 Apr 2024, 02:28
Decision Tracker
My Rewards
New posts
New comers' posts

Close
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
Your Progress

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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

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

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92929
Own Kudos [?]: 619098 [3]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
If x and y are positive integers, what is the value of x? [#permalink] New post   19 Nov 2017, 09:56
3
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

25% (medium)

Question Stats:

75% (01:05) correct 25% (01:06) wrong based on 158 sessions
Hide Show timer Statistics
If x and y are positive integers, what is the value of x?

(1) 3^x*5^y = 1125
(2) y = 3
ShowHide Answer
Official Answer
A
avatar
G
Raksat
Manager
Manager
Joined: 20 Feb 2017
Posts: 154
Own Kudos [?]: 438 [1]
Given Kudos: 489
Location: India
Concentration: Operations, Strategy
WE:Engineering (Other)
Send PM
Re: If x and y are positive integers, what is the value of x? [#permalink] New post   19 Nov 2017, 10:51
1
Bookmarks
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
avatar
B
pulkitarya
Intern
Intern
Joined: 16 Aug 2016
Posts: 13
Own Kudos [?]: 10 [2]
Given Kudos: 40
Location: India
Schools: IIMA IIMA PGPX'22 ISB'22 HEC ESSEC GMBA '22
GMAT 1: 530 Q39 V25
GPA: 3.6
WE:Sales (Retail)
Send PM
GMAT ToolKit User
Re: If x and y are positive integers, what is the value of x? [#permalink] New post   19 Nov 2017, 12:03
1
Kudos
1
Bookmarks
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.
User avatar
G
Salsanousi
Senior Manager
Senior Manager
Joined: 19 Oct 2013
Posts: 412
Own Kudos [?]: 306 [0]
Given Kudos: 117
Location: Kuwait
GPA: 3.2
WE:Engineering (Real Estate)
Send PM
GMAT ToolKit User
Re: If x and y are positive integers, what is the value of x? [#permalink] 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
GMAT Club Bot
gmatclubot
Re: If x and y are positive integers, what is the value of x? [#permalink]
20 Nov 2017, 02:23
Moderator:
Bunuel
Math Expert
92929 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions