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Is X between 0 and 1 ? (1) x^2 is less than x (2) x^3 is

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Joined: 20 Jun 2017
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Re: Is X between 0 and 1 ? (1) x^2 is less than x (2) x^3 is [#permalink]

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New post 28 Oct 2017, 23:33
Sir, i am having one query . In this question condition is not given , that X is negative. How can we say that multiples must have opposite signs to find 0<X<1.
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Re: Is X between 0 and 1 ? (1) x^2 is less than x (2) x^3 is [#permalink]

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New post 30 Oct 2017, 21:29
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Raj94* wrote:
Sir, i am having one query . In this question condition is not given , that X is negative. How can we say that multiples must have opposite signs to find 0<X<1.


Using statement 1,
If X were negative, X^2 would be positive and certainly greater than X. Hence X cannot be negative.
So X must be positive.
If X is 0 or 1, X^2 = 0 or 1 too.
If X is greater than 1, X^2 would be greater than X.
If X is less than 1, X^2 will be less than X.

So 0 < X < 1
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Re: Is X between 0 and 1 ? (1) x^2 is less than x (2) x^3 is   [#permalink] 30 Oct 2017, 21:29

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