It is currently 11 Dec 2018, 08:12
My Tests

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

x is an integer such that –x|x| ≥ 4.

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
1 KUDOS received
Moderator
Moderator
User avatar
Joined: 18 Apr 2015
Posts: 5130
Followers: 77

Kudos [?]: 1029 [1] , given: 4636

CAT Tests
x is an integer such that –x|x| ≥ 4. [#permalink] New post 08 Aug 2018, 16:37
1
This post received
KUDOS
Expert's post
00:00

Question Stats:

59% (00:42) correct 40% (00:49) wrong based on 32 sessions
x is an integer such that \(- x|x| ≥ 4\).

Quantity A
Quantity B
x
2


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

Kudos for R.A.E
[Reveal] Spoiler: OA

_________________

Get the 2 FREE GREPrepclub Tests

1 KUDOS received
Manager
Manager
Joined: 06 Jun 2018
Posts: 94
Followers: 0

Kudos [?]: 56 [1] , given: 0

Re: x is an integer such that –x|x| ≥ 4. [#permalink] New post 09 Aug 2018, 15:15
1
This post received
KUDOS
Carcass wrote:
x is an integer such that \(- x|x| ≥ 4\).

Quantity A
Quantity B
x
2


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

Kudos for R.A.E



Given

\(- x|x| ≥ 4\)

Note:

|x| is always positive.

we have a negative sign with x but ultimate value is positive. So x have to be negative. Negative times negative is positive.

The best answer is B. 2 is greater than x, a negative integer.
Supreme Moderator
Joined: 01 Nov 2017
Posts: 199
Followers: 3

Kudos [?]: 63 [0], given: 1

CAT Tests
Re: x is an integer such that –x|x| ≥ 4. [#permalink] New post 23 Oct 2018, 03:02
Expert's post
Carcass wrote:
x is an integer such that \(- x|x| ≥ 4\).

Quantity A
Quantity B
x
2


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

Kudos for R.A.E


Now \(- x|x| ≥ 4\) which means \(- x|x| > 0\) which is possible when both -x and |x| have same sign. |x|>0 so -x>0...
Multiply the sides if equation by '-', so -(-x)<-(0)...x<0

Since x<0, x has to be less than 2..
Thus B>A

B
_________________

Some useful Theory.
1. Arithmetic and Geometric progressions : https://greprepclub.com/forum/progressions-arithmetic-geometric-and-harmonic-11574.html#p27048
2. Effect of Arithmetic Operations on fraction : https://greprepclub.com/forum/effects-of-arithmetic-operations-on-fractions-11573.html?sid=d570445335a783891cd4d48a17db9825
3. Remainders : https://greprepclub.com/forum/remainders-what-you-should-know-11524.html
4. Number properties : https://greprepclub.com/forum/number-property-all-you-require-11518.html
5. Absolute Modulus and Inequalities : https://greprepclub.com/forum/absolute-modulus-a-better-understanding-11281.html

Manager
Manager
Joined: 23 Oct 2018
Posts: 58
Followers: 0

Kudos [?]: 0 [0], given: 0

CAT Tests
Re: x is an integer such that –x|x| ≥ 4. [#permalink] New post 23 Oct 2018, 08:41
it was interesting.
Intern
Intern
Joined: 24 Sep 2018
Posts: 32
Followers: 0

Kudos [?]: 28 [0], given: 2

Re: x is an integer such that –x|x| ≥ 4. [#permalink] New post 23 Oct 2018, 20:00
Divide both sides by -x gives you |x| (< or =) 4/-x noting that you will be flipping the direction of the greater than sign since you are dividing by a negative. While you can then go and solve as you would any absolute value, having isolated the absolute value onto one side at this point, you can also see that the only way for the absolute value to be equal to a positive number (absolute values cannot be negative) is if the x value itself is negative. Since any negative number (x > 0) is going to be less than 2, we know that the answer will be B.
Re: x is an integer such that –x|x| ≥ 4.   [#permalink] 23 Oct 2018, 20:00
Display posts from previous: Sort by

x is an integer such that –x|x| ≥ 4.

  Question banks Downloads My Bookmarks Reviews Important topics  


cron

GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.