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10 Feb 2011, 16:04
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
81% (01:57) correct
19%
(02:07)
wrong
based on 140
sessions
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If m, n, р, and q are positive integers, and mр = nq, what is value of pq?
(1) m^2 = n.
(2) p^p = 4.
(1) m^2 = n.
(2) p^p = 4.
10 Feb 2011, 17:16
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banksy
If m, n, р, and q are positive integers, and mр = nq, what is value of pq?
(1) m^2 = n --> \(mp=nq\) becomes: \(mp=m^2q\) --> \(p=mq\). Not sufficient.
For example: if \(m=n=p=q=1\) then \(pq=1\) but if \(m=p=2\), \(q=1\) then \(pq=2\)
(2) p^p = 4 --> \(p=2\). Not sufficient.
(1)+(2) From (1) \(p=mq\) and from (2) \(p=2\), so \(2=mq\) --> as all variables are positive integers then: either \(m=1\) and \(q=2\) and in this case \(pq=2*2=4\) or \(m=2\) and \(q=1\) and in this case \(pq=2*1=2\). Not sufficient.
Answer: E.
