It is currently 23 Mar 2018, 15:32

### 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

# Must be an Integer

 post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
Manager
Joined: 21 Feb 2009
Posts: 104
Must be an Integer [#permalink]

### Show Tags

14 Mar 2009, 16:39
If n and y are positive integers and 450y = n³,which of the following must be an integer?
i. y/3*2²*5
ii. y/3²*2*5
iii. y/3*2*5²

1. None
2. i only
3. ii only
4. iii only
5. i,ii,iii

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Intern
Joined: 07 Feb 2009
Posts: 47
Re: Must be an Integer [#permalink]

### Show Tags

15 Mar 2009, 06:38
2
KUDOS
what is the OA?

I got --> 2. i only.

450y = n^3. If we factorize 450, we get 450 = 2*3^2*5^2.
To make it a perfect cube, we need 2^2*3*5 as a least number.
so, y should be a multiple of (2^2*3*5)*m^3 where m is an integer.
The least value of m can be 1, so y should be atleast a multiple of (2^2*3*5).
Manager
Joined: 21 Feb 2009
Posts: 104
Re: Must be an Integer [#permalink]

### Show Tags

15 Mar 2009, 12:25
Perfect OA is I only.
Manager
Joined: 02 Mar 2009
Posts: 129
Re: Must be an Integer [#permalink]

### Show Tags

15 Mar 2009, 23:26
Brilliant Abhishek. Thanks!

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: Must be an Integer   [#permalink] 15 Mar 2009, 23:26
Display posts from previous: Sort by

# Must be an Integer

 post reply Question banks Downloads My Bookmarks Reviews Important topics

Moderator: chetan2u

 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®.