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If 0 < p < 1, which of the following has the least value?

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Senior Manager
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If 0 < p < 1, which of the following has the least value? [#permalink]

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New post 22 Feb 2017, 19:56
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

69% (00:58) correct 31% (01:21) wrong based on 122 sessions

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If 0 < p < 1, which of the following has the least value?


A. \(\frac{1}{p^2}\)

B. \(\frac{1}{\sqrt{p}}\)

C. \(\frac{1}{p^2+1}\)

D. \(\frac{1}{\sqrt{p+1}}\)

E. \(\frac{1}{(p+1)^2}\)
[Reveal] Spoiler: OA

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Re: If 0 < p < 1, which of the following has the least value? [#permalink]

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New post 22 Feb 2017, 22:04
E.

Did the question by taking an example.

Let p=.5(1/2)

A. 1/p^2 = 1/(1/4) = 4

B. 1/sqr of p = 1/sqr(1/2) = √2 = 1.414

C. 1/(p^2+1) = 1/(1/4 +1 ) = 1/(5/4) = 4/5 = .8

D. 1/ sqr of (p+1) = 1/sqr(3/2) = √2/√3 = 1.414/1.732 ~ 14/17 ~ .8

E. 1/(p+1)^2 = 1/(3/2)^2 = 1/(9/4) = 4/9 ~ .4


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Re: If 0 < p < 1, which of the following has the least value? [#permalink]

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New post 06 Dec 2017, 23:52
vikasp99 wrote:
If 0 < p < 1, which of the following has the least value?

A. 1/p^2
B. 1/sqr of p
C. 1/(p^2+1)
D. 1/ sqr of (p+1)
E. 1/(p+1)^2


Bunuel
How to mathematically compare C and D??
Please help
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Re: If 0 < p < 1, which of the following has the least value?   [#permalink] 06 Dec 2017, 23:52
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If 0 < p < 1, which of the following has the least value?

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