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

It is currently 06 Dec 2019, 09:42
Register
GMAT Club Tests
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

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.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
CLICK HERE TO HIDE/SHOW EVENTS

For all positive numbers x, Δx is defined as the cube root of x, and ∇

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Print view
First unread post
 
  Sort by Date Sort by Kudos  
Search for:
 
PREVIOUS TOPIC
NEXT TOPIC
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 59587
CAT Tests
Top Member of the Month
For all positive numbers x, Δx is defined as the cube root of x, and ∇  [#permalink]

Show Tags

New post 22 Aug 2018, 04:12
9
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

77% (01:21) correct 23% (01:53) wrong based on 74 sessions

HideShow timer Statistics

For all positive numbers x, Δx is defined as the cube root of x, and ∇x is defined as the square root of x. If ∇(Δk)=m^2 , then k =


A. m^(12/5)

B. m^6

C. m^12

D. m^36

E. m^64
Spoiler: OA

_________________
New to the GMAT CLUB Forum?
Posting Rules: QUANTITATIVE | VERBAL. Guides and Resources: QUANTITATIVE | VERBAL | Ultimate GMAT Quantitative Megathread | All You Need for Quant

Questions' Banks and Collection:
PS: Standard deviation | Tough Problem Solving Questions With Solutions | Probability and Combinations Questions With Solutions | Tough and tricky exponents and roots questions | 12 Easy Pieces (or not?) | Bakers' Dozen | Algebra set | Mixed Questions | Fresh Meat
DS: DS Standard deviation | Inequalities | 700+ GMAT Data Sufficiency Questions With Explanations | Tough and tricky exponents and roots questions | The Discreet Charm of the DS | Devil's Dozen!!! | Number Properties set | New DS set
MIXED: GMAT Club's Complete Questions' Bank | SEVEN SAMURAI OF 2012 | Tricky questions from previous years. | Special Questions' Directory | Best Of The Best Of 2017 | The Best Of Quant of 2016 | 20 hardest and 20 best questions of 2015 | 15 best topics of 2015 | Seven Samurai of 2012 | GMAT Probability Questions

What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
Senior PS Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3300
Location: India
GPA: 3.12
For all positive numbers x, Δx is defined as the cube root of x, and ∇  [#permalink]

Show Tags

New post 22 Aug 2018, 04:18
1
Bunuel wrote:
For all positive numbers x, Δx is defined as the cube root of x, and ∇x is defined as the square root of x. If ∇(Δk)=m^2 , then k =


A. m^(12/5)

B. m^6

C. m^12

D. m^36

E. m^64


Best way to go about doing this problem is to substitute a value for \(m\). Let \(m = 2\)

Therefore, we have to find the value of ∇(Δk) = \(m^2\) or 4

\(4(2^2)\) is the cube root of \(4*4*4 = 64(2^6)\), which the square root of \(64*64 = 4096(2^{12})\)

Substituting the values in the answer options, we arrive at the value of k which is \(m^{12}\) (Option C)
_________________
You've got what it takes, but it will take everything you've got
Signature Read More
Director
Director
User avatar
D
Status: Learning stage
Joined: 01 Oct 2017
Posts: 991
WE: Supply Chain Management (Energy and Utilities)
For all positive numbers x, Δx is defined as the cube root of x, and ∇  [#permalink]

Show Tags

New post 22 Aug 2018, 04:23
1
1
Bunuel wrote:
For all positive numbers x, Δx is defined as the cube root of x, and ∇x is defined as the square root of x. If ∇(Δk)=m^2 , then k =


A. m^(12/5)

B. m^6

C. m^12

D. m^36

E. m^64


\(∇(Δk)=m^2\)
Or,\(∇(k^{\frac{1}{3}})=m^2\)
Or, \((k^{\frac{1}{3}})^{\frac{1}{2}}=m^2\)
Or, \(k^{\frac{1}{2}*\frac{1}{3}}=m^2\)
Or, \(k^{\frac{1}{6}}=m^2\)
Or,\(k=(m^2)^6=m^{12}\)

Ans. (C)
_________________
Regards,

PKN

Rise above the storm, you will find the sunshine
Signature Read More
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13721
Re: For all positive numbers x, Δx is defined as the cube root of x, and ∇  [#permalink]

Show Tags

New post 08 Nov 2019, 23:56
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources
Signature Read More
GMAT Club Bot
Re: For all positive numbers x, Δx is defined as the cube root of x, and ∇   [#permalink] 08 Nov 2019, 23:56
Print view
First unread post
Display posts from previous: Sort by

For all positive numbers x, Δx is defined as the cube root of x, and ∇

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Search for:
PREVIOUS TOPIC
NEXT TOPIC





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions