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11 Jun 2010, 09:35
Kudos
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N
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
(N/A)
Question Stats:
83% (01:16) correct
17%
(02:08)
wrong
based on 20
sessions
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Date
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Not Attempted Yet
What is the value of p^3 + 2p ?
(1) p^2 − 5p + 4 = 0.
(2) The value of p2 + 1/p is –2
OA will be posted later
(1) p^2 − 5p + 4 = 0.
(2) The value of p2 + 1/p is –2
OA will be posted later
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11 Jun 2010, 10:01
Kudos
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IMO B
A is INSUFFICIENT. P is 1 or 4.
B is SUFFICIENT. Value is -1.
A is INSUFFICIENT. P is 1 or 4.
B is SUFFICIENT. Value is -1.
11 Jun 2010, 11:01
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hardnstrong
Not a good question.
Question: \(p^3 + 2p=?\)
(1) \(p^2-5p+4=0\) --> \(p=1\) or \(p=4\). Two values for \(p^3 + 2p\). Not sufficient.
(2) If statement 2 is \(\frac{p^2+1}{p}=-2\), then \(p^2+2p+1=0\) --> \(p=-1\) --> one value for \(p\) --> \(p^3 + 2p=-3\). Sufficient.
BUT if this is true, than two statements contradict (from 1: \(p=1\) or \(p=4\) and from 2: \(p=-1\)) and in DS statements never contradict.
If statement 2 is \(p^2+\frac{1}{p}=-2\), then \(p^3+1=-2p\) --> \(p^3 + 2p=-1\), directly gives the value of \(p^3 + 2p\). Sufficient.
BUT again if we take the values from 1 (\(p=1\) or \(p=4\)) they won't satisfy the equation \(p^2+\frac{1}{p}=-2\) and in DS both statements must be true.
So I guess the answer for this question is B, but you'll never see such question on real GMAT.
Hope it's clear.
