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# If x is a positive integer, is \sqrt{x} \lt 2.5x - 5? 1. x

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If x is a positive integer, is \sqrt{x} \lt 2.5x - 5? 1. x [#permalink]

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09 Sep 2008, 18:26
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If x is a positive integer, is $$\sqrt{x} \lt 2.5x - 5?$$

1. $$x \lt 3$$
2. $$x$$ is a prime number

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Current Student
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Location: New York City
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09 Sep 2008, 18:35
arjtryarjtry wrote:
If x is a positive integer, is $$\sqrt{x} \lt 2.5x - 5?$$

1. $$x \lt 3$$
2. $$x$$ is a prime number

well if x is a POSITIVE ingeter then it has to be >0
1)
x<3 which means x=1 or 2..

either way sqrt(x)>2.5x-5 so suff

11)
if x=2 then sqrt(2)>0 however if x=7 then 35/2=34.5-5=29.5 > sqrt(7) insuff

A it is.

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09 Sep 2008, 18:37
arjtryarjtry wrote:
If x is a positive integer, is $$\sqrt{x} \lt 2.5x - 5?$$

1. $$x \lt 3$$
2. $$x$$ is a prime number

(1) x<3,
at x=1,$$\sqrt{x} \gt 2.5x - 5$$
at x=2,$$\sqrt{x} \gt 2.5x - 5$$

(2)x=2,3,5,7,etc
at x=2 $$\sqrt{x} \gt 2.5x - 5$$
at x=3,$$\sqrt{x} \lt 2.5x - 5$$
hence insoncsistent soln!! INSUFFI

IMO A
whats the OA?
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cheers
Its Now Or Never

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Re: DS gmat club   [#permalink] 09 Sep 2008, 18:37
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