Algebra

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jainrahul1985: Master | Next Rank: 500 Posts; Posts: 228; Joined: Sun Aug 17, 2008 8:08 am; Thanked: 4 times

by jainrahul1985 » Sat Jul 25, 2009 9:41 pm

Q14:
If 4x < x < x^3 < x^2, which of the following is a possible value of x ?
A. –2
B. – 3/2
C. –1
D. –1/2
E. 0

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Source: Beat The GMAT — Problem Solving | Sat Jul 25, 2009 9:41 pm

tohellandback: Legendary Member; Posts: 752; Joined: Sun May 17, 2009 11:04 pm; Location: Tokyo; Thanked: 81 times; GMAT Score:680

by tohellandback » Mon Aug 10, 2009 11:51 pm

4x<x, x must be negative
x<x^3, x must be a fraction

-1<X<0

D is the answer

The powers of two are bloody impolite!!

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hariharakarthi: Master | Next Rank: 500 Posts; Posts: 131; Joined: Tue Apr 22, 2008 1:54 pm; Thanked: 3 times; GMAT Score:550

by hariharakarthi » Tue Aug 11, 2009 5:02 am

@tohellandback

x<x^3, x must be a fraction How did you come to this?

I think it should X^3<X^2 here, hence X must be a fraction.

Hence, Ans should be fraction and -ve.
Out of 5 Ans choices 2 (-3/2, -1/2) satisfies this condition
Apply these 2 and check the condtion.

Correct Ans D.

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tohellandback: Legendary Member; Posts: 752; Joined: Sun May 17, 2009 11:04 pm; Location: Tokyo; Thanked: 81 times; GMAT Score:680

by tohellandback » Tue Aug 11, 2009 7:19 am

hariharakarthi wrote:@tohellandback

x<x^3, x must be a fraction How did you come to this?

I think it should X^3<X^2 here, hence X must be a fraction.

Hence, Ans should be fraction and -ve.
Out of 5 Ans choices 2 (-3/2, -1/2) satisfies this condition
Apply these 2 and check the condtion.

Correct Ans D.

for negative fractions, x<x^3 is correct. I don't think there is any problem with that.
for ex:-1/2<-1/8

The powers of two are bloody impolite!!

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