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Math Expert
Joined: 02 Sep 2009
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Is x > 0 ? (1) x^3 < x (2) x is even.
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04 Jun 2018, 23:26
Question Stats:
61% (01:09) correct 39% (01:36) wrong based on 69 sessions
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Joined: 14 Feb 2018
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Re: Is x > 0 ? (1) x^3 < x (2) x is even.
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05 Jun 2018, 00:24
According to statement 1, x can be negative or fraction less than 1 and greater than zero. Thus, insufficient.
According to statement 2, x can be either positive or negative even integer. Insufficient.
Combining the two statements, x is even integer only and negative definitely. Thus, we know, x<0. Hence, sufficient.
Thus, C.
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Joined: 04 Jan 2015
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Re: Is x > 0 ? (1) x^3 < x (2) x is even.
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05 Jun 2018, 01:17
Solution To find:Analysing Statement 1• As per the information given in statement 1, \(x^3 < x\) Simplifying, \(x^3 – x < 0\) Or, \(x (x^2 – 1) < 0\) Or, \(x (x – 1) (x + 1) < 0\)
• This is true when 0 < x < 1 or x < 1 Since x can be both positive or negative, we cannot say whether x > 0 or not Hence, statement 1 is not sufficient to answer Analysing Statement 2• As per the information given in statement 2, x is even • The value of x, being even, can be both positive and negative Hence, statement 2 is not sufficient to answer Combining Both StatementsIf we combine the information present in both the statements, we can say • The value of x lies in the range x < 1 as there are no even integers possible in 0 < x < 1. Therefore, we can say x is not greater than 0 Hence, the correct answer is option C. Answer: C
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Joined: 31 Oct 2013
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Re: Is x > 0 ? (1) x^3 < x (2) x is even.
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05 Jun 2018, 01:59
Bunuel wrote: Is x > 0 ?
(1) x^3 < x (2) x is even. we don't know whether x is integer or fraction or negative or positive. statement 1 :\(x^3\)<x. this statement is true when x is fraction or negative. So, we can determine whether x>0 or not. statement 2 : x is even. but here x can also be negative or positive. Not sufficient. combining (1+2): analyzing both statements we understand that x is negative and even integer. Thus, x is not positive for sure. So, the correct answer is C.



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Joined: 11 Feb 2016
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Re: Is x > 0 ? (1) x^3 < x (2) x is even.
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08 Jun 2018, 16:46
Can a fraction be considered an even number?
From my perspective, it was not mentioned that x was an integer. Then, 0.2 (or 1/5), which I (with no grounds) consider an even number, would lead the answer to an E.
Can someone please clarify this?



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Re: Is x > 0 ? (1) x^3 < x (2) x is even.
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08 Jun 2018, 17:43
PedroBodnar wrote: Can a fraction be considered an even number?
From my perspective, it was not mentioned that x was an integer. Then, 0.2 (or 1/5), which I (with no grounds) consider an even number, would lead the answer to an E.
Can someone please clarify this? fraction is a number either positive or negative but it is NOT an integer. This is known fact. It is not needed to be mentioned.



Math Expert
Joined: 02 Aug 2009
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Re: Is x > 0 ? (1) x^3 < x (2) x is even.
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08 Jun 2018, 19:50
PedroBodnar wrote: Can a fraction be considered an even number?
From my perspective, it was not mentioned that x was an integer. Then, 0.2 (or 1/5), which I (with no grounds) consider an even number, would lead the answer to an E.
Can someone please clarify this? Only integers can be odd or even. So even or odd means it is an integer
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Intern
Joined: 11 Feb 2016
Posts: 13

Re: Is x > 0 ? (1) x^3 < x (2) x is even.
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09 Jun 2018, 04:18
chetan2u wrote: PedroBodnar wrote: Can a fraction be considered an even number?
From my perspective, it was not mentioned that x was an integer. Then, 0.2 (or 1/5), which I (with no grounds) consider an even number, would lead the answer to an E.
Can someone please clarify this? Only integers can be odd or even. So even or odd means it is an integer Awesome. One more concept learned.




Re: Is x > 0 ? (1) x^3 < x (2) x is even. &nbs
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09 Jun 2018, 04:18






