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

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Senior Manager
Joined: 02 Jan 2017
Posts: 316
If 0 < p < 1, which of the following has the least value? [#permalink]

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22 Feb 2017, 20:56
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Difficulty:

35% (medium)

Question Stats:

68% (01:01) correct 32% (01:30) wrong based on 145 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
Manager
Joined: 15 Mar 2014
Posts: 136
Location: India
GPA: 3.5
WE: Operations (Telecommunications)
Re: If 0 < p < 1, which of the following has the least value? [#permalink]

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22 Feb 2017, 23:04
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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Senior Manager
Joined: 03 Apr 2013
Posts: 290
Location: India
Concentration: Marketing, Finance
Schools: Simon '20
GMAT 1: 740 Q50 V41
GPA: 3
Re: If 0 < p < 1, which of the following has the least value? [#permalink]

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07 Dec 2017, 00:52
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??
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Re: If 0 < p < 1, which of the following has the least value?   [#permalink] 07 Dec 2017, 00:52
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