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If n is not equal to 0, is |n| < 4 ? (1) n^2 > 16 (2)

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If n is not equal to 0, is |n| < 4 ? (1) n^2 > 16 (2) [#permalink]

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If n is not equal to 0, is |n| < 4 ?

(1) n^2 > 16

(2) 1/|n| > n
[Reveal] Spoiler: OA

Last edited by hogann on 13 Oct 2009, 09:17, edited 1 time in total.

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Re: If n is not equal to 0, is |n| < 4 ? (1) n^2 > 16 (2) [#permalink]

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New post 13 Oct 2009, 07:17
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hogann wrote:
If n is not equal to 0, is |n| < 4 ?

(1) n2 > 16

(2) 1/|n| > n


1. Given "n2 > 16" so n is greater than 4 or less than -4 so asnwer for question is |n| < 4 ? is no.
A is sufficient

2. lets assume n as -5 then 1/ |-5| = 1/5 > -5 and |-5| = 5 is not less than 4
and if we consider n as -3 then 1/|-3| = 1/3 > -3 and |-3| = 3 is less than 4
hence B is insuff


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Re: If n is not equal to 0, is |n| < 4 ? (1) n^2 > 16 (2) [#permalink]

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New post 13 Oct 2009, 11:14
agree with AsterMatrix
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Re: If n is not equal to 0, is |n| < 4 ? (1) n^2 > 16 (2) [#permalink]

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New post 13 Oct 2009, 11:54
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[quote="asterixmatrix
1. Given "n2 > 16" so n is greater than 4 or less than -4 so asnwer for question is |n| < 4 ? is no.
A is sufficient

2. lets assume n as -5 then 1/ |-5| = 1/5 > -5 and |-5| = 5 is not less than 4
and if we consider n as -3 then 1/|-3| = 1/3 > -3 and |-3| = 3 is less than 4
hence B is insuff

[/quote]

You did kill it!
OA is A

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Re: If n is not equal to 0, is |n| < 4 ? (1) n^2 > 16 (2) [#permalink]

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New post 01 Jan 2014, 13:25
hogann wrote:
If n is not equal to 0, is |n| < 4 ?

(1) n^2 > 16

(2) 1/|n| > n

Edit to fix exponent


What's the range for the second statement? Is it x<1?

Let us know

Cheers!
J :)

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Re: If n is not equal to 0, is |n| < 4 ? (1) n^2 > 16 (2) [#permalink]

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New post 02 Jan 2014, 05:33
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jlgdr wrote:
hogann wrote:
If n is not equal to 0, is |n| < 4 ?

(1) n^2 > 16

(2) 1/|n| > n

Edit to fix exponent


What's the range for the second statement? Is it x<1?

Let us know

Cheers!
J :)


If n is not equal to 0, is |n| < 4 ?

Question basically asks is -4<n<4 true.

(1) n^2>16 --> n>4 or n<-4, the answer to the question is NO. Sufficient.

(2) 1/|n| > n, this is true for all negative values of n, hence we can not answer the question. Not sufficient.

Answer: A.

As you can see we don't really want the complete range for (2) to see that this statement is not sufficient, but still if interested:

1/|n| > n --> n*|n| < 1.

If n<0, then we'll have -n^2<1 --> n^2>-1. Which is true. So, n*|n| < 1 holds true for any negative value of n.
If n>0, then we'll have n^2<1 --> -1<n<1. So, n*|n| < 1 also holds true for 0<n<1.

Thus 1/|n| > n holds true if n<0 and 0<n<1.

Hope it's clear.
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Re: If n is not equal to 0, is |n| < 4 ? (1) n^2 > 16 (2) [#permalink]

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Re: If n is not equal to 0, is |n| < 4 ? (1) n^2 > 16 (2) [#permalink]

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New post 12 Aug 2017, 05:26
Hello from the GMAT Club BumpBot!

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Re: If n is not equal to 0, is |n| < 4 ? (1) n^2 > 16 (2)   [#permalink] 12 Aug 2017, 05:26
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