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Joined: 31 Oct 2011
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Own Kudos [?]: 8109 [53]
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If m and n are positive integers, and if p and q are differe [#permalink]
Question:
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:
p is prime
q is prime
p and q are different
m and n could be the same or different positive integers.


In my opinion, the best way to think of is - [n][/m]=[p][/q] - is to instead cross multiply:
you then get the question rephrased as is nq=pm?

Statement one: Neither n nor m is a prime number.

Plug in values for nq=pm?
(4)(3) = (2)(6) --> yes equal
Plug in different values that obviously won't work:
(2)(3)=(2)(1) --> not equal
Not sufficient


Statement 2: m is not divisible by q.
is nq=pm?
Well if m is not equal to q or divisible by it, then the right side of the equation can never be equal to the left (LCM rules)

Hope it helps. This is my first explanation for Kudos :)
GMAT Club Bot
If m and n are positive integers, and if p and q are differe [#permalink]
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