richachampion wrote:If pq ≠0, is p²q > pq²?
(1) pq < 0
(2) p < 0
p²q - pq² > 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.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
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.
For more information, please email me (Mitch Hunt) at
[email protected].
Student Review #1
Student Review #2
Student Review #3
