PS_Greater than Zero : DS Archive
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PS_Greater than Zero

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Manager
Joined: 01 Aug 2008
Posts: 118
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PS_Greater than Zero [#permalink]

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14 Jun 2009, 08:10
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Manager
Joined: 30 May 2009
Posts: 218
Followers: 5

Kudos [?]: 120 [0], given: 0

Re: PS_Greater than Zero [#permalink]

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14 Jun 2009, 08:20
I think the answer should be B

sqrt(z) will be greater than z only in one situation, 0 < Z < 1

(1) Z > 0 => Z could be any number
if Z = 4, sqrt(z) = 2 < z
if Z = 1/4 sqrt(z) = 1/2 > Z
Therefore, INSUFF

(2) sqrt(z) < 1
And the question already states that (sqrt)z > 0
So we are given that 0 < sqrt(z) < 1
Which is possible only if Sqrt(z) > z
SUFF.

What is the OA??
Manager
Joined: 08 Feb 2009
Posts: 146
Schools: Anderson
Followers: 3

Kudos [?]: 49 [0], given: 3

Re: PS_Greater than Zero [#permalink]

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14 Jun 2009, 09:33
sdrandom1 wrote:
I think the answer should be B

sqrt(z) will be greater than z only in one situation, 0 < Z < 1

(1) Z > 0 => Z could be any number
if Z = 4, sqrt(z) = 2 < z
if Z = 1/4 sqrt(z) = 1/2 > Z
Therefore, INSUFF

(2) sqrt(z) < 1
And the question already states that (sqrt)z > 0
So we are given that 0 < sqrt(z) < 1
Which is possible only if Sqrt(z) > z
SUFF.

What is the OA??

Its true.

$$\sqrt{Z} \hspace{5} > \hspace{5} Z \hspace{10} \Leftrightarrow \hspace{10} 0 \hspace{5}< \hspace{5} Z \hspace{5}< \hspace{5} 1 \small \hspace{5}or \hspace{5} \large Z\hspace{5} is \hspace{5}a \hspace{5} +^{ve} \hspace{5} FRACTION$$
Re: PS_Greater than Zero   [#permalink] 14 Jun 2009, 09:33
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