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Re: If u > 0 and v > 0, which is greater, u^v or v^u?
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Updated on: 17 Jun 2016, 00:56
7
1
If u > 0 and v > 0, which is greater, u^v or v^u?
(1) u = 1
Since we are not told if u and v are different numbers there are two possibilites: a) u=v= 1 in which case u^v = v^u b) They are different numbers in which case v^u will always be greater since u^v = 1 (1 raised to anything is 1)
(2) v > 2
It does not give us any information about u. For example u could be 3 and v could be 4 and vice versa
On combining we know u^v will always be 1 . Therefore v^u is greater. SUFFICIENT
Ans = C
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Appreciate any KUDOS given !
Originally posted by rishi02 on 16 Jun 2016, 07:04.
Last edited by rishi02 on 17 Jun 2016, 00:56, edited 1 time in total.
Re: If u > 0 and v > 0, which is greater, u^v or v^u?
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16 Jun 2016, 07:13
from statement 1) u=1 so, (1)^v= 1 and v^1. if v=1 then both are equal otherwise v^1 > 1^v. so not sufficient. 2) statement 2. not sufficient. as we know the value of v only.
1) +2) sufficient because this will eliminate the first case when v=1 from first statement. answer C.
Re: If u > 0 and v > 0, which is greater, u^v or v^u?
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16 Jun 2016, 21:01
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The original condition has 2 variables, so we need 2 variables as well. Since the condition 1) and the condition 2) each has 1 equation, there is high chance that C is the correct answer.
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84% (00:50) correct 
