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10 Oct 2012, 11:09
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
64% (01:25) correct
36%
(01:17)
wrong
based on 723
sessions
History
Date
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Is mp greater than m?
(1) m > p > 0
(2) p is less than 1
(1) m > p > 0
(2) p is less than 1
Hello experts,
Could anyone please explain how to approach this problem algebraically. As detailed an explanation as possible will be greatly appreciated. I was trying to understand the following.
a. I am clear on getting the first set of roots based on the information given in the stem. i.e mp-m>o --> m(p-1)>0. So m>0 and P>1. But didn't understand the reasoning behind obtaining the second set of roots by flipping the signs.
b. Also need help on understanding how to use the obtained roots in conjunction with options (1) and (2).
Could anyone please explain how to approach this problem algebraically. As detailed an explanation as possible will be greatly appreciated. I was trying to understand the following.
a. I am clear on getting the first set of roots based on the information given in the stem. i.e mp-m>o --> m(p-1)>0. So m>0 and P>1. But didn't understand the reasoning behind obtaining the second set of roots by flipping the signs.
b. Also need help on understanding how to use the obtained roots in conjunction with options (1) and (2).
10 Oct 2012, 11:19
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Bookmarks
Is mp greater than m?
Question: is \(mp>m\)?
(1) m > p > 0. Since given that \(m>0\), then we can reduce by positive \(m\) and the question becomes: is \(p>1\)? We know that \(p>0\), but that's not enough. Not sufficient.
(2) p is less than 1. No info about \(m\). Not sufficient.
(1)+(2) From (1) the question became: "is \(p>1\)?" and (2) says that \(p<1\), so we have definite NO answer to the question. Sufficient.
Answer: C.
Hope it's clear.
Question: is \(mp>m\)?
(1) m > p > 0. Since given that \(m>0\), then we can reduce by positive \(m\) and the question becomes: is \(p>1\)? We know that \(p>0\), but that's not enough. Not sufficient.
(2) p is less than 1. No info about \(m\). Not sufficient.
(1)+(2) From (1) the question became: "is \(p>1\)?" and (2) says that \(p<1\), so we have definite NO answer to the question. Sufficient.
Answer: C.
Hope it's clear.
General Discussion
10 Oct 2012, 11:22
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GetThisDone
The question can be rephrased as "Is \(mp-m>0\) or \(m(p-1)>0,\) which is the same as asking whether \(m\) and \(p-1\) have the same sign?"
(1) Not sufficient. In order to know the sign of \(p-1\) we have to know whether \(p\) is greater or less than \(1.\)
(2) Not sufficient. We know nothing about \(m.\)
(1) and (2): Now we know for sure that both \(m\) and \(p-1\) are positive.
Sufficient.
Answer C.
