It is currently 21 Mar 2018, 11:44

### 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

# PS : positive integer

Author Message
Senior Manager
Joined: 16 Jan 2009
Posts: 349
Concentration: Technology, Marketing
GMAT 1: 700 Q50 V34
GPA: 3
WE: Sales (Telecommunications)

### Show Tags

03 Jun 2009, 14:20
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

### HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If n is a positive integer less than 200 and 14n/60 is an integer, then n has how many different positive prime factors?
A. two
B. three
C. five
D. six
E. eight.

[spoiler]14n/60 is an integer, than n=30*k, k=1,2,...6
30 has 3 prime factors, 2, 3, and 5.
k is from 1 to 6, at most contains 2,3 and 5.
Above all, 30k has three different positive prime factors: 2, 3, and 5
IMO B[/spoiler]
_________________

Lahoosaher

Manager
Joined: 12 Apr 2006
Posts: 210
Location: India
Re: PS : positive integer [#permalink]

### Show Tags

03 Jun 2009, 20:36
14n/60 = x. Assume x can be any integer

7*2*n/5*2*2*3 = x

Now for x to be integer, n must be a multiple of 30.
The options we have are 30, 60, 90, 120, 150, 180.

In any case n can have only 3 different positive prime factors. Hence B
Intern
Joined: 12 May 2009
Posts: 46
Location: Mumbai
Re: PS : positive integer [#permalink]

### Show Tags

03 Jun 2009, 20:43
14n/60 = x => 7n/30 = x
So, n has to be a multiple of 30 to become a +ve integer
30 = 2*3*5

Even if we are considering n = 60 it will work out to be a +ve integer, but 60 = 2*2*3*5 and the question is about different prime number

IMO B
Re: PS : positive integer   [#permalink] 03 Jun 2009, 20:43
Display posts from previous: Sort by