If pq ≠0, is p²q > pq²?
(1) pq < 0
(2) p < 0
OA: C
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richachampion
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Hi richachamption,
To start, this should be in the DS Forum. That having been said, this prompt is built around a few Number Properties. Knowing those rules will help make quick work of this question.
We're told that neither P nor Q can equal 0. We're asked if (P^2)(Q) > (P)(Q^2). This is a YES/NO question.
1) PQ < 0
This Fact tells us that one of the variables is POSITIVE and the other is NEGATIVE... but we don't know which is which.
IF.... P = Negative and Q = Positive.... then the answer to the question is YES.
IF.... P = Positive and Q = Negative.... then the answer to the question is NO.
Fact 1 is INSUFFICIENT.
2) P < 0
This fact tells us that P is negative, but does not tell us anything about Q.
Fact 2 is INSUFFICIENT
Combined, we know that...
P is negative
Q is positive
Thus, the answer to the question is ALWAYS YES.
Combined, SUFFICIENT
Final Answer: C
GMAT assassins aren't born, they're made,
Rich
To start, this should be in the DS Forum. That having been said, this prompt is built around a few Number Properties. Knowing those rules will help make quick work of this question.
We're told that neither P nor Q can equal 0. We're asked if (P^2)(Q) > (P)(Q^2). This is a YES/NO question.
1) PQ < 0
This Fact tells us that one of the variables is POSITIVE and the other is NEGATIVE... but we don't know which is which.
IF.... P = Negative and Q = Positive.... then the answer to the question is YES.
IF.... P = Positive and Q = Negative.... then the answer to the question is NO.
Fact 1 is INSUFFICIENT.
2) P < 0
This fact tells us that P is negative, but does not tell us anything about Q.
Fact 2 is INSUFFICIENT
Combined, we know that...
P is negative
Q is positive
Thus, the answer to the question is ALWAYS YES.
Combined, SUFFICIENT
Final Answer: C
GMAT assassins aren't born, they're made,
Rich
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richachampion
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Can Some how we can transfer this to DS Forum?[email protected] wrote:Hi richachamption,
To start, this should be in the DS Forum. That having been said, this prompt is built around a few Number Properties. Knowing those rules will help make quick work of this question.
R I C H A,
My GMAT Journey: 470 → 720 → 740
Target Score: 760+
[email protected]
1. Press thanks if you like my solution.
2. Contact me if you are not improving. (No Free Lunch!)
My GMAT Journey: 470 → 720 → 740
Target Score: 760+
[email protected]
1. Press thanks if you like my solution.
2. Contact me if you are not improving. (No Free Lunch!)
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GMATGuruNY
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p²q - pq² > 0richachampion wrote:If pq ≠0, is p²q > pq²?
(1) pq < 0
(2) p < 0
pq(p-q) > 0
Question stem, rephrased:
Do pq and p-q have the SAME SIGN?
Statement 1: pq < 0
If p>q -- with the result that p-q>0 -- then the answer to the question stem is NO.
If p<q -- with the result that p-q<0 -- then the answer to the question stem is YES.
INSUFFICIENT.
Statement 2:
No information about q.
Statements combined:
Since pq<0 and p<0, q is positive.
Thus, p-q = negative - positive = negative.
Since pq<0 and p-q<0, the answer to the question stem is YES.
SUFFICIENT.
The correct answer is C.
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My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
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