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Source: — Data Sufficiency |
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by liferocks » Wed May 26, 2010 10:48 pm
From 1

X ^ 3 <X ^ 2 ..this is possible in two scenarios,when x is negative and when x is positive fraction...not sufficient

From 2

X ^ 3 <X ^ 4 ..this is true for any integer x ,+ve or -ve...not sufficient

combining,
X is integer and hence negative..sufficient

Ans option C
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by kevincanspain » Wed May 26, 2010 10:50 pm
colakumarfanta wrote:Is x <0?
1) X ^ 3 <X ^ 2
2) X ^ 3 <X ^ 4

Source : practice paper at coaching centre

(1) x^3 < x^2

Dividing both sides by x^2, we get x < 1 (no change in inequality sign since x^2 > 0 )

NOT SUFF

(2) x^3 < x^4

Dividing both sides by x^3, we need to consider two cases:

if x^3 > 0 (i.e. x > 0 ), we get 1 < x

however if x^3 < 0, (i.e. x < 0), we get x < 1

thus x can be any negative number or any number greater than 1

NOT SUFF

(T) If x < 1 (from (1)), x must be negative (from (2))

SUFF
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