GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 16 Jan 2019, 08:41

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

## Events & Promotions

###### Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### The winning strategy for a high GRE score

January 17, 2019

January 17, 2019

08:00 AM PST

09:00 AM PST

Learn the winning strategy for a high GRE score — what do people who reach a high score do differently? We're going to share insights, tips and strategies from data we've collected from over 50,000 students who used examPAL.
• ### Free GMAT Strategy Webinar

January 19, 2019

January 19, 2019

07:00 AM PST

09:00 AM PST

Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

# Is x > 0 ? (1) x^3 < x (2) x is even.

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 52161
Is x > 0 ? (1) x^3 < x (2) x is even.  [#permalink]

### Show Tags

04 Jun 2018, 23:26
00:00

Difficulty:

35% (medium)

Question Stats:

61% (01:09) correct 39% (01:36) wrong based on 69 sessions

### HideShow timer Statistics

Is x > 0 ?

(1) x^3 < x
(2) x is even.

_________________
Senior Manager
Joined: 14 Feb 2018
Posts: 392
Re: Is x > 0 ? (1) x^3 < x (2) x is even.  [#permalink]

### Show Tags

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.

Posted from my mobile device
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 2438
Re: Is x > 0 ? (1) x^3 < x (2) x is even.  [#permalink]

### Show Tags

05 Jun 2018, 01:17
1

Solution

To find:
• Whether x > 0 or not

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 Statements
If 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.

_________________

Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Number Properties – Even Odd | LCM GCD | Statistics-1 | Statistics-2 | Remainders-1 | Remainders-2
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line | Inequalities

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets

| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

Director
Joined: 31 Oct 2013
Posts: 951
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: Is x > 0 ? (1) x^3 < x (2) x is even.  [#permalink]

### Show Tags

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.
Intern
Joined: 11 Feb 2016
Posts: 13
Re: Is x > 0 ? (1) x^3 < x (2) x is even.  [#permalink]

### Show Tags

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.

SVP
Joined: 26 Mar 2013
Posts: 1998
Re: Is x > 0 ? (1) x^3 < x (2) x is even.  [#permalink]

### Show Tags

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.

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
Posts: 7199
Re: Is x > 0 ? (1) x^3 < x (2) x is even.  [#permalink]

### Show Tags

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.

Only integers can be odd or even.
So even or odd means it is an integer
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

GMAT online Tutor

Intern
Joined: 11 Feb 2016
Posts: 13
Re: Is x > 0 ? (1) x^3 < x (2) x is even.  [#permalink]

### Show Tags

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.

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 [#permalink] 09 Jun 2018, 04:18
Display posts from previous: Sort by