It is currently 17 Oct 2017, 17:25

### 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

# If m and n are positive integers, and if p and q are differe

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 31 Oct 2011
Posts: 337

Kudos [?]: 1223 [1], given: 18

If m and n are positive integers, and if p and q are differe [#permalink]

### Show Tags

22 Mar 2012, 20:52
1
KUDOS
2
This post was
BOOKMARKED
00:00

Difficulty:

75% (hard)

Question Stats:

52% (01:33) correct 48% (01:22) wrong based on 112 sessions

### HideShow timer Statistics

If m and n are positive integers, and if p and q are different prime numbers, do p/q and n/m represent different numbers?

(1) Neither n nor m is a prime number.

(2) m is not dvisible by q.
[Reveal] Spoiler: OA

Kudos [?]: 1223 [1], given: 18

Math Expert
Joined: 02 Sep 2009
Posts: 41873

Kudos [?]: 128603 [2], given: 12180

Re: If m and n are positive integers, and if p and q are differe [#permalink]

### Show Tags

23 Mar 2012, 01:52
2
KUDOS
Expert's post
1
This post was
BOOKMARKED
If m and n are positive integers, and if p and q are different prime numbers, do p/q and n/m represent different numbers?

Given: $$n$$ and $$m$$ are integers $$p$$ and $$q$$ are different prime numbers.

Question: is $$\frac{n}{m}=\frac{p}{q}$$?

Notice that, since $$n$$ and $$m$$ are integers then this equation will hold true if $$n$$ and $$m$$ are multiples of prime numbers $$p$$ and $$q$$ respectively. For example: $$\frac{n}{m}=\frac{2}{3}=\frac{4}{6}=\frac{6}{9}=\frac{p}{q}=\frac{2}{3}$$. If we were not told that $$p$$ and $$q$$ are different then this won't be necessary, for example following case would be possible: $$\frac{n}{m}=\frac{8}{8}=1=\frac{3}{3}=\frac{p}{q}$$

(1) Neither n nor m is a prime number. If $$n=px$$ and $$m=qx$$ (for some integer x more than 1) then the answer ill be YES, if not then the answer will be No. For example: if $$p=2$$, $$q=3$$ and $$n=2*4=8$$, $$m=3*4=12$$ then $$\frac{n}{m}=\frac{p}{q}=\frac{2}{3}$$. Not sufficient.

(2) m is not dvisible by q. As discussed above, if $$m$$ is not a multiple of $$q$$ then $$\frac{n}{m}\neq{\frac{p}{q}}$$. Sufficient.

_________________

Kudos [?]: 128603 [2], given: 12180

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16760

Kudos [?]: 273 [0], given: 0

Re: If m and n are positive integers, and if p and q are differe [#permalink]

### Show Tags

15 Sep 2016, 09:53
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.
_________________

Kudos [?]: 273 [0], given: 0

Re: If m and n are positive integers, and if p and q are differe   [#permalink] 15 Sep 2016, 09:53
Display posts from previous: Sort by