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GMAT215
pushpitkc
(1) R - P < Q - P
Rewriting this equation we will get R < Q
However, we don't have any information about P (Insufficient)

(2) Q^2 * R > R^2 * P > P^2 * Q

Case 1: If Q = 4, R = 3, P = 2
Then 48 > 18 > 12

Case 2:If Q = 3, R = 3,P = 2
Then 27 > 18 > 12

Here, in case 1, Q > R > P whereas in case 2, Q=R > P (Insufficient)

Combining the information present in both the statements

Let test with another case where P > Q
Case 3 : Q = 5, R = 4, P = 6 Here, 100 > 96 < 180.
As Statement (2) becomes false, Case 3 is not possible.

Hence, Q is the largest number among P,Q, and R.(Sufficient - Option C)

pls look at the part highlighted by me in your explanation above...

Question States : P, Q, R are three distinct positivenumbers.

if three are distinctive number in such case.. case I only persists.

imo Answer must be B.


need guidance from expert.

Thanks for noticing GMAT215
Have corrected my solution, the answer is still C(but the values of P,Q, and R change in the solution)

Hope it is clearer now!
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Is there another way to eliminate B without trying different numbers?
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