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P, Q, R are three distinct positive numbers. Which is the greatest [#permalink]
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17 Mar 2018, 00:25
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P, Q, R are three distinct positive numbers. Which is the greatest number among P, Q, R? (1) R  P < Q  P (2) Q^2 * R > R^2 * P > P^2 * Q
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P, Q, R are three distinct positive numbers. Which is the greatest [#permalink]
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17 Mar 2018, 00:56
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(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 = 3.1, P = 2 Then 27.3 > 19.22 > 12 Here, in case 1, Q > R > P whereas in case 2, Q < R > P (Insufficient)Combining the information present in both the statements Case 2 is not possible when Q > R and Q is the largest number among P,Q, and R. (Sufficient  Option C)
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P, Q, R are three distinct positive numbers. Which is the greatest [#permalink]
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20 Mar 2018, 01:08
pushpitkc wrote: (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.



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Re: P, Q, R are three distinct positive numbers. Which is the greatest [#permalink]
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20 Mar 2018, 03:01
GMAT215 wrote: pushpitkc wrote: (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 GMAT215Have 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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Re: P, Q, R are three distinct positive numbers. Which is the greatest
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