GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 23 Jun 2018, 18:38

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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If x, y, and z are positive integers, and 4x = 5y = 6z, then the least

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 46297
If x, y, and z are positive integers, and 4x = 5y = 6z, then the least [#permalink]

Show Tags

New post 28 Aug 2016, 10:50
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

73% (01:04) correct 27% (00:46) wrong based on 84 sessions

HideShow timer Statistics

1 KUDOS received
Board of Directors
User avatar
V
Status: Stepping into my 10 years long dream
Joined: 18 Jul 2015
Posts: 3653
Premium Member Reviews Badge CAT Tests
Re: If x, y, and z are positive integers, and 4x = 5y = 6z, then the least [#permalink]

Show Tags

New post 28 Aug 2016, 11:30
1
Bunuel wrote:
If x, y, and z are positive integers, and 4x = 5y = 6z, then the least possible value of x + y + z is

A. 15
B. 28
C. 37
D. 42
E. 60


Answer is C.

4x = 5y = 6z = K (say)

or x = K/4 ; y = K/5; Z = K/6

We need to find the minimum value of K such that X,Y and Z are integers and have minimum value.

For that we can find the LCM of 4,5,6 = 60

So, Take K = 60

X= 15;Y=12;Z=10

or x+y+z = 37.
_________________

My GMAT Story: From V21 to V40
My MBA Journey: My 10 years long MBA Dream
My Secret Hacks: Best way to use GMATClub
Verbal Resources: All SC Resources at one place | All CR Resources at one place
Blog: Subscribe to Question of the Day Blog

GMAT Club Inbuilt Error Log Functionality - View More.
NEW VISA FORUM - Ask all your Visa Related Questions - here.

How to use an Error Log? Check out my tips!



Find a bug in the new email templates and get rewarded with 2 weeks of GMATClub Tests for free

Retired Moderator
avatar
G
Joined: 26 Nov 2012
Posts: 599
Premium Member
Re: If x, y, and z are positive integers, and 4x = 5y = 6z, then the least [#permalink]

Show Tags

New post 28 Aug 2016, 11:41
1
Bunuel wrote:
If x, y, and z are positive integers, and 4x = 5y = 6z, then the least possible value of x + y + z is

A. 15
B. 28
C. 37
D. 42
E. 60


Take LCM of 4,5 and 6 = 60

Now 4x = 60 => x =15
5y = 60 => y = 12
6z = 60 => z =10

115+12+10 = 37.

Option C.
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 7045
Premium Member
Re: If x, y, and z are positive integers, and 4x = 5y = 6z, then the least [#permalink]

Show Tags

New post 14 Jan 2018, 14:29
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Re: If x, y, and z are positive integers, and 4x = 5y = 6z, then the least   [#permalink] 14 Jan 2018, 14:29
Display posts from previous: Sort by

If x, y, and z are positive integers, and 4x = 5y = 6z, then the least

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.