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# Need Help in Answering this question

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Intern
Joined: 30 May 2013
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28 Dec 2013, 11:08
83. Is x3 greater than x ?
(1) x + x3 > 0
(2) x - x3 < 0

x3(denoting x cube in the above question)

The Answer to the above data sufficiency question is provided as (b)

But I am arriving at a different answer

(a)A is definitely not correct since there could be a scenario where a is an integer say for eg 3 which makes x3 =27 greater than zero
x could also be a positive fraction so essentially there could be two cases where for (1)x 3 > x and second x3 is less than x

(2)B in my view also appears incorrect since the text fails to consider the possibility of a fraction where x can be greater than x3 say assuming x is -1/2
X could also be a positive integer making x3 greater than 3 (Assume x =3)

Please resolve what should be the appropriate answer to the question and whether b is actually the correct option
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 6829
Location: Pune, India
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### Show Tags

02 Jan 2014, 00:00
narenravishankar wrote:
83. Is x3 greater than x ?
(1) x + x3 > 0
(2) x - x3 < 0

x3(denoting x cube in the above question)

The Answer to the above data sufficiency question is provided as (b)

But I am arriving at a different answer

(a)A is definitely not correct since there could be a scenario where a is an integer say for eg 3 which makes x3 =27 greater than zero
x could also be a positive fraction so essentially there could be two cases where for (1)x 3 > x and second x3 is less than x

(2)B in my view also appears incorrect since the text fails to consider the possibility of a fraction where x can be greater than x3 say assuming x is -1/2
X could also be a positive integer making x3 greater than 3 (Assume x =3)

Please resolve what should be the appropriate answer to the question and whether b is actually the correct option

Actually statement 2 gives you the answer directly.

Question: Is $$x^3 > x$$?

(2) $$x - x^3 < 0$$
$$x < x^3$$
This gives you straight away that x^3 is greater than x. So you answer with a definite 'Yes'.
Statement 2 alone is sufficient.

You are correct about statement 1.

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Re: Need Help in Answering this question   [#permalink] 02 Jan 2014, 00:00
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