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Intern  S
Joined: 26 Apr 2018
Posts: 39
is x between 0 and 1?  [#permalink]

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4 00:00

Difficulty:   55% (hard)

Question Stats: 52% (01:07) correct 48% (00:59) wrong based on 67 sessions

### HideShow timer Statistics Is x between 0 and 1?

1) $$x^{2}$$ >x
2) $$x^{3}$$ <0

source gmat tutor
Math Expert V
Joined: 02 Aug 2009
Posts: 7764
is x between 0 and 1?  [#permalink]

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1
bettatantalo wrote:
Is x between 0 and 1?

1) $$x^{2}$$ >x
2) $$x^{3}$$ <0

source gmat tutor

1) $$x^2>X........x^2-x>0......x(x-1)>0$$
So two cases
1) X>0, x-1>0 or X>1
Example let X=2, 2*1>0 but let X=1/2, then 1/2(1/2-1)=1/2*(-1/2)=-1/4 NOT >0 so X cannot be 1/2 or anything<1
2) X<0, x-1<0 or X<1
if x<0, X can never be >0
In either case, x is not between 0 and 1
Sufficient

2) $$x^3<0......X<0$$
Take X^3 as -8, so X=-2
Ans is NO
Sufficient

D

bettatantalo, I have written one example of X as 1/2.. pick up any value between 0 and 1 say 9/10...9/10(9/10-1)=9/10*-1/10=-9/100 again <0, it will not satisfy x^2>x
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Intern  S
Joined: 26 Apr 2018
Posts: 39
Re: is x between 0 and 1?  [#permalink]

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chetan2u wrote:
bettatantalo wrote:
Is x between 0 and 1?

1) $$x^{2}$$ >x
2) $$x^{3}$$ <0

source gmat tutor

1) $$x^2>X........x^2-x>0......x(x-1)>0$$
So two cases
1) X>0, x-1>0 or X>0
2) X<0, x-1<0 or X<1
In either case, x is not between 0 and 1
Sufficient

2) $$x^3<0......X<0$$
Ans is NO
Sufficient

D

Thanks for the explanation!

Would it be possible to see it explained with real numbers instead of x? I don't understand for example how x couldn't be a negative number and then the statements wouldn't be suff.

Thank you! Re: is x between 0 and 1?   [#permalink] 24 Sep 2018, 01:26
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# is x between 0 and 1?  