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

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

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13 Oct 2009, 06:43
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Difficulty:

35% (medium)

Question Stats:

66% (01:20) correct 34% (00:58) wrong based on 107 sessions

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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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Manager
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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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13 Oct 2009, 07:17
1
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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

Asterix
trying to Kill "DS"

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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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13 Oct 2009, 11:14
agree with AsterMatrix
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Thanks, Sri
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Press +1 Kudos, if you think my post gave u a tiny tip

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Manager
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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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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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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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02 Jan 2014, 05:33
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Expert's post
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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.

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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29 Jul 2016, 11:48
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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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12 Aug 2017, 05:26
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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

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