Find all School-related info fast with the new School-Specific MBA Forum

It is currently 29 Aug 2016, 22:07
GMAT Club Tests

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If m and n are positive integer, and 1800m = n3, what is

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

Hide Tags

1 KUDOS received
Intern
Intern
avatar
Joined: 09 Feb 2011
Posts: 16
Followers: 1

Kudos [?]: 30 [1] , given: 0

If m and n are positive integer, and 1800m = n3, what is [#permalink]

Show Tags

New post 09 Feb 2011, 17:32
1
This post received
KUDOS
3
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

77% (01:51) correct 23% (01:00) wrong based on 382 sessions

HideShow timer Statistics

If m and n are positive integer, and \(1800m = n^3\), what is the least possible value of m?
(A) 2
(B) 3
(C) 15
(D) 30
(E) 45
[Reveal] Spoiler: OA

Last edited by Narenn on 21 Aug 2013, 09:38, edited 1 time in total.
Minor Edit
1 KUDOS received
Manager
Manager
avatar
Joined: 22 Aug 2008
Posts: 186
Followers: 5

Kudos [?]: 83 [1] , given: 11

Re: If m and n are positive integer, and 1800m = n3, what is [#permalink]

Show Tags

New post 09 Feb 2011, 17:55
1
This post received
KUDOS
1800*m=n^3
m=n^3/1800
=n^3/(3^2*5^2*2^3)

so n has to be 3*5*2 so that n^3 is divisible by 1800.

So m= (2*3*5)^3/(3^2*5^2*2^3)
m=15
Expert Post
2 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 34496
Followers: 6297

Kudos [?]: 79890 [2] , given: 10022

Re: If m and n are positive integer, and 1800m = n3, what is [#permalink]

Show Tags

New post 09 Feb 2011, 17:57
2
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
loveparis wrote:
89. If m and n are positive integer, and 1800m = n3, what is the least possible value of m?
(A) 2
(B) 3
(C) 15
(D) 30
(E) 45


\(1800m=2^3*3^2*5^2*m=n^3\) the least value of \(m\) for which \(2^3*3^2*5^2*m\) is a perfect cube is 3*5=15 (m must complete the powers of 3 and 5 to cubes): in this case \(2^3*3^2*5^2*m=2^3*3^3*5^3=(2*3*5)^3=n^3\)

Answer: C.
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 11133
Followers: 511

Kudos [?]: 134 [0], given: 0

Premium Member
Re: If m and n are positive integer, and 1800m = n3, what is [#permalink]

Show Tags

New post 18 Jun 2014, 15:31
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

Manager
Manager
avatar
Joined: 24 Oct 2012
Posts: 65
WE: Information Technology (Computer Software)
Followers: 0

Kudos [?]: 17 [0], given: 5

Re: If m and n are positive integer, and 1800m = n3, what is [#permalink]

Show Tags

New post 18 Jun 2014, 21:04
Hi
This is one of the questions in which plugin the answers will make it much easier.

2.3.15.30.45

a) start with 2
1800 *2 = 3600 not a cube
b) 3
5400 not a cube
c) 1800 * 15 = 27000 = 30 to the power of 3

d) and e) are higher, so no need to go ahead further.
ans : C
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 11133
Followers: 511

Kudos [?]: 134 [0], given: 0

Premium Member
Re: If m and n are positive integer, and 1800m = n3, what is [#permalink]

Show Tags

New post 29 Jul 2015, 20:46
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

Director
Director
User avatar
Joined: 12 Aug 2015
Posts: 982
Followers: 17

Kudos [?]: 132 [0], given: 268

GMAT ToolKit User CAT Tests
Re: If m and n are positive integer, and 1800m = n3, what is [#permalink]

Show Tags

New post 16 Mar 2016, 01:39
Here N must contain at-least one 3 and one 5 for m to be an integer
hence C
_________________

Give me a hell yeah ...!!!!!

Manager
Manager
avatar
Joined: 09 Jun 2015
Posts: 101
Followers: 0

Kudos [?]: 3 [0], given: 0

Re: If m and n are positive integer, and 1800m = n3, what is [#permalink]

Show Tags

New post 16 Mar 2016, 02:04
loveparis wrote:
If m and n are positive integer, and \(1800m = n^3\), what is the least possible value of m?
(A) 2
(B) 3
(C) 15
(D) 30
(E) 45

1800*m is a cube number'
The first cube number is 27000 when m = 15
Tip: Prime factor 1800:2^3*3^2*5^2; we require one more 3 and one more 5.
Re: If m and n are positive integer, and 1800m = n3, what is   [#permalink] 16 Mar 2016, 02:04
    Similar topics Author Replies Last post
Similar
Topics:
Experts publish their posts in the topic What is the greatest positive integer n such that 3^n is a factor of Bunuel 6 18 Apr 2016, 00:57
1 Experts publish their posts in the topic If n is an integer and (−3)^{4n}=3^{7n−3}[/m] then n= harish1986 4 17 Jan 2016, 11:07
6 Experts publish their posts in the topic If n is a positive integer and n^3 is a multiple of 550, what is the Bunuel 8 11 Feb 2015, 06:38
4 Experts publish their posts in the topic If n is a positive integer and if (n^3 - n)/(n+1) = 240, the macjas 5 27 May 2012, 09:27
48 Experts publish their posts in the topic If n and y are positive integers and 450y = n^3, which of rishi2377 18 22 Oct 2008, 11:12
Display posts from previous: Sort by

If m and n are positive integer, and 1800m = n3, what is

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


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

Powered by phpBB © phpBB Group and phpBB SEO

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®.