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Which of X, X^2, and 1/X has the least value? 1). X>0 2).

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VP
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Which of X, X^2, and 1/X has the least value? 1). X>0 2). [#permalink]

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04 Feb 2006, 23:05
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Which of X, X^2, and 1/X has the least value?

1). X>0
2). X< 1
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VP
Joined: 21 Sep 2003
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Location: USA
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Kudos [?]: 79 [0], given: 0

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04 Feb 2006, 23:15
C?

1) x>0 INSUFF

x = 0.5 => x^2 = 0.25 & 1/x = 2 (x^2 has least value)
x = 2 => x ^2 = 4 & 1/x = 0.5 (1/x has least value)

2) x < 1

x = 0.5 => x^2 = 0.25 & 1/x = 2 (x^2 has least value)
x = -2 => x^2 = 4 , 1/x = -0.5 (1/x has least val)

Combining (1) & (2)

0 <x < 1
For this range, always
x^2 < x < 1/x

Hence (I think) C.
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Last edited by giddi77 on 04 Feb 2006, 23:16, edited 1 time in total.
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Re: DS: Which has a least value? [#permalink]

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04 Feb 2006, 23:16
TeHCM wrote:
Which of X, X^2, and 1/X has the least value?

1). X>0
2). X< 1

I- insuff, ie x=1

II-inusff, x=.5, =-1

both-suff

C
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Joined: 05 Jan 2006
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05 Feb 2006, 01:11
Answer is C... same calculation as giddi... hence not typing it again...
05 Feb 2006, 01:11
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Which of X, X^2, and 1/X has the least value? 1). X>0 2).

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