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Kaplan PS

by vinaynp » Mon May 31, 2010 6:09 pm
if 0 < p < 1, which of the following has the least value?

a) 1/p^2
b) 1/sqrt(p)
c) 1/(p^2 +1)
d) 1/sqrt(p+1)
e) 1/(p+1)^2
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by liferocks » Mon May 31, 2010 6:32 pm
let p=1/4

a) 1/p^2.............................>16
b) 1/sqrt(p).........................>2
c) 1/(p^2 +1)......................>17
d) 1/sqrt(p+1)......................>2/V5 or 10V5/25...V5>2 so 10V5>20
e) 1/(p+1)^2........................>16/25

so least is option E
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by vinaynp » Mon May 31, 2010 6:57 pm
liferocks wrote:let p=1/4

a) 1/p^2.............................>16
b) 1/sqrt(p).........................>2
c) 1/(p^2 +1)......................>17
d) 1/sqrt(p+1)......................>2/V5 or 10V5/25...V5>2 so 10V5>20
e) 1/(p+1)^2........................>16/25

so least is option E
OA is option E
Thanks!!! I don't know what happened to me. I was evaluating 1/p^2 as 1/16 instead of 16. Silly mistake. I thought to myself why am I not getting the right OA.
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