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2012-10-21T20:29:00+03:00

If R=P/Q, is R≤P?

First of all a proper GMAT question would mention that Q doesn't equal to zero (as it's in denominator).

Next, we don't need R at all, substitute it. The question becomes is ? Notice that we can not reduce both sides by P since we don't know the sign of it, thus don't know whether we should flip the sign of the inequality when reducing.

(1) P>50 --> P is positive - reduce by it. The question becomes is ? --> is  or ? We don't know that. Not sufficient.

(2) 0<Q≤20. No info about P. Not sufficient.

(1)+(2) From (1) the question became: is  or ? Now, (2) says , which is not sufficient to answer the question definitely: if  the answer is YES but if  the answer is NO. Not sufficient.

Answer: E.

Hope it's clear.
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2012-10-21T20:31:11+03:00

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