Register    Login    Search    Rss Feeds

Forums Home » Ask An Instructor » GMAT Math » GMAT Prep Math


 Page 1 of 1 [ 5 posts ] 



  Print view Print view Previous topic Previous topic | Next topic Next topic
 

PS: IF the prime numbers p and t

Author Message
cesar.rodriguez.blanco
 Post subject: PS: IF the prime numbers p and t
 Post Posted: Wed Aug 19, 2009 1:34 pm 
Offline
Course Students


Posts: 145
I missed this question. Please help!

If the prime numbers p and t are the only prime factors of the integer m, is m a multiple of (p^2)*t?

1) m has more than 9 positive factors
2) m is a multiple of m^3
Top 
aditinig
 Post subject: Re: PS: IF the prime numbers p and t
 Post Posted: Wed Aug 19, 2009 5:57 pm 
Offline
Course Students


Posts: 1
What is this OA?
Top 
agha79
 Post subject: Re: PS: IF the prime numbers p and t
 Post Posted: Sun Sep 06, 2009 10:31 am 
Offline
Course Students


Posts: 98
Is OA for this "B"
Top 
nitin_prakash_khanna
 Post subject: Re: PS: IF the prime numbers p and t
 Post Posted: Sun Sep 06, 2009 1:51 pm 
Offline
Students


Posts: 68
Statement 2 is wrong, it should say...

2> m is a multiple of p^3.

St 1 tells us that there are total > 9 factors for m, which is possible with even
m = (some integer N) * p * t^4.
So NOT Sufficient

St 2 tells us that
m = np^3 and we know that p & t are the prime factors of m
so its really
m = n * p^3 * t (raised to some unknown power)
So m = some int N * p^2 * t and hence Sufficient.
Top 
RonPurewal
 Post subject: Re: PS: IF the prime numbers p and t
 Post Posted: Fri Sep 25, 2009 11:50 pm 
Offline
ManhattanGMAT Staff


Posts: 7146
cesar.rodriguez.blanco wrote:
I missed this question. Please help!

If the prime numbers p and t are the only prime factors of the integer m, is m a multiple of (p^2)*t?

1) m has more than 9 positive factors
2) m is a multiple of p^3


we already know that m is a multiple of t, so the only real issue here is whether there are 2 copies of "p" in its prime factorization.
i.e., we already know it's a multiple of pt; all that's missing is the second "p".

(1)
this clearly could be a "yes", if m is something like (p^1000)(t^1000). therefore, the challenge lies in looking for a "no".
we can get a "no" by keeping only one "p", and just raising "t" to a huge power. for instance, m = (p)(t^1000) will have over two thousand factors.
insufficient.

(2)
if m is a multiple of p^3, then it's at least a multiple of (p^3)(t), so, sufficient.

ans = (b)
Top 
Display posts from previous:  Sort by  
 
 Page 1 of 1 [ 5 posts ] 





Who is online

Users browsing this forum: No registered users and 1 guest

 
 

 
You cannot post new topics in this forum
You cannot reply to topics in this forum
You cannot edit your posts in this forum
You cannot delete your posts in this forum
You cannot post attachments in this forum

Search for:
Jump to: