It is currently 18 Dec 2018, 15:06
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=4√(x3+6x2)

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Manager
Manager
Joined: 22 Jul 2018
Posts: 75
Followers: 0

Kudos [?]: 8 [0], given: 40

CAT Tests
x=4√(x3+6x2) [#permalink] New post 02 Nov 2018, 11:20
00:00

Question Stats:

37% (00:29) correct 62% (01:14) wrong based on 16 sessions
\(x=4\)\(\sqrt{(x^3+6x^2)}\)

Quantity A
Quantity B
The sum of all possible roots of x
1



Quantity A is greater
Quantity B is greater
The two quantities are equal
The relationship cannot be determined from the information given
[Reveal] Spoiler: OA
Manager
Manager
Joined: 22 Jul 2018
Posts: 75
Followers: 0

Kudos [?]: 8 [0], given: 40

CAT Tests
Re: x=4√(x3+6x2) [#permalink] New post 02 Nov 2018, 11:21
Please explain the solution
Moderator
Moderator
User avatar
Joined: 18 Apr 2015
Posts: 5204
Followers: 77

Kudos [?]: 1051 [0], given: 4710

CAT Tests
Re: x=4√(x3+6x2) [#permalink] New post 02 Nov 2018, 12:04
Expert's post
Please see how to format a question in the right manner .
https://greprepclub.com/forum/qq-how-to ... -2357.html

Thank you so much
_________________

Get the 2 FREE GREPrepclub Tests

Supreme Moderator
Joined: 01 Nov 2017
Posts: 221
Followers: 3

Kudos [?]: 76 [0], given: 1

CAT Tests
Re: x=4√(x3+6x2) [#permalink] New post 03 Nov 2018, 22:59
Expert's post
Sawant91 wrote:
\(x=4\)\(\sqrt{(x^3+6x^2)}\)

Quantity A
Quantity B
The sum of all possible roots of x
1



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


the answer depends on what 4 means is it 4th root, or 4* something
_________________

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

Intern
Intern
Joined: 21 Nov 2018
Posts: 13
Followers: 0

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

Re: x=4√(x3+6x2) [#permalink] New post 28 Nov 2018, 06:12
If we consider that the expression given is the 4th root , then the answer should be C . Can someone please explain how is the answer A ?
Intern
Intern
Joined: 07 Dec 2018
Posts: 1
Followers: 0

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

Re: x=4√(x3+6x2) [#permalink] New post 13 Dec 2018, 08:44
kunalkmr62 wrote:
If we consider that the expression given is the 4th root , then the answer should be C . Can someone please explain how is the answer A ?


Agree, For the 4th root, x can be solved for 3&-2, hence sum of the roots is 1, so C should be the option.
Manager
Manager
Joined: 22 Jul 2018
Posts: 75
Followers: 0

Kudos [?]: 8 [0], given: 40

CAT Tests
Re: x=4√(x3+6x2) [#permalink] New post 14 Dec 2018, 03:42
It is said sum of all possible root:
I am getting possible values 1,3
As 3 is greater than 1 hence answer is A
Supreme Moderator
Joined: 01 Nov 2017
Posts: 221
Followers: 3

Kudos [?]: 76 [0], given: 1

CAT Tests
Re: x=4√(x3+6x2) [#permalink] New post 14 Dec 2018, 15:51
Expert's post
Sawant91 wrote:
\(x=4\)\(\sqrt{(x^3+6x^2)}\)

Quantity A
Quantity B
The sum of all possible roots of x
1



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



The question could mean two things..
(I) If it is what it is given- \(x=4\)\(\sqrt{(x^3+6x^2)}\)
Square both sides - \(x^2=16(x^3+6x^2).......16x^3-95x^2=0....x^2(16x-95)=0\).. Sum of roots = 0+\frac{95}{16} so A>B
(II) If there is a typo and it meant $th root and not 4*..
so take the 4th power - \(x^4=x^3+6x^2......x^4-x^3-6x^2=0.....x^2(x-3)(x+2)=0\) Hence, the sum is 0+3-2=1
here A=B..
so C
_________________

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

Re: x=4√(x3+6x2)   [#permalink] 14 Dec 2018, 15:51
Display posts from previous: Sort by

x=4√(x3+6x2)

  Question banks Downloads My Bookmarks Reviews Important topics  


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®.