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# Is x negative ? (1) n^3*(1-x^2) < 0 (2) x^2 -1 <0

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Senior Manager
Joined: 22 Aug 2003
Posts: 257
Location: Bangalore
Is x negative ? (1) n^3*(1-x^2) < 0 (2) x^2 -1 <0 [#permalink]

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06 Oct 2003, 02:10
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20. Is x negative ?
(1) n^3*(1-x^2) < 0
(2) x^2 -1 <0
another one where i disagree with official answer..
CEO
Joined: 15 Aug 2003
Posts: 3454
Re: DS: is x negative [#permalink]

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06 Oct 2003, 02:46
Vicky wrote:
20. Is x negative ?
(1) n^3*(1-x^2) < 0
(2) x^2 -1 <0
another one where i disagree with official answer..

(1) n^3*(1-x^2) < 0

1-x^2 > 0 ...that is true for this inequality to hold true

x^2 < 1

x can be between -1 and 1..not sufficient

(2) x^2 -1 <0

x^2 <1 ..x has to be between -1 and 1..so insufficient..

Combine....nothin we dont know

I think E.

thanks
praetorian
Manager
Joined: 27 Jul 2003
Posts: 122
Location: Singapore

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06 Oct 2003, 03:39
form stat1. x is between -1 and 1 for both +ve and -ve values of n. (insuff)
stat. ===> x is between -1 and 1. (isuff)
combining still the same.

I agree with Houston. Vote for E.
SVP
Joined: 30 Oct 2003
Posts: 1790
Location: NewJersey USA

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09 Jan 2004, 07:43
A is not sufficient because we dont anything about n
B is not sufficient.

(x^2-1) < 0 means
(x-1) * (x+1 ) < 0
if x = -0.5 we have a -ve result and
if x = 0.5 we have a -ve result.
So we cannot tell from B either

If we combine A and B
X^2 -1 < 0 is same as X^2 < 1 then
1-X^2 will be -ve. Again we dont know anyting about N here
So C is not the answer.

E has to be the answer.
Director
Joined: 13 Nov 2003
Posts: 960
Location: Florida

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09 Jan 2004, 08:15
from each of the statements, we get x^2<1
not suff.

should be E
SVP
Joined: 30 Oct 2003
Posts: 1790
Location: NewJersey USA

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09 Jan 2004, 08:40
Hi DJ,

You are never satisfied with one icon in your profile are you?
Director
Joined: 13 Nov 2003
Posts: 960
Location: Florida

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09 Jan 2004, 09:04
anandnk wrote:
Hi DJ,

You are never satisfied with one icon in your profile are you?

people were scared of my scopion..I had to change
Director
Joined: 28 Oct 2003
Posts: 501
Location: 55405

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09 Jan 2004, 09:08
Quote:
people were scared of my scopion..I had to change

I thought it was a lobster!
Director
Joined: 13 Nov 2003
Posts: 960
Location: Florida

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09 Jan 2004, 09:12
stoolfi wrote:
Quote:
people were scared of my scopion..I had to change

I thought it was a lobster!

haha..!
think, u are spending too much time at the "Red Lobster"

scorp..my sunsign.
SVP
Joined: 30 Oct 2003
Posts: 1790
Location: NewJersey USA

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09 Jan 2004, 09:14
Has to be scorpion because there is no lobster sun sign. Looks like a data sufficiency discussion.
Not sure if chinese sun signs have anything like lobster
So I will stick with E
09 Jan 2004, 09:14
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