GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video
close
It is currently 16 Jun 2021, 13:19
Register
GMAT Club Tests
Decision Tracker
My Rewards
New posts
New comers' posts

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
MBA Spotlight – ISB AdCom Live Q&A
Live Session


Breaking into MBB Consulting - Panel with MBB's
Llearn what matters this application season, get an update about this year's admissions process, and bring your questions! Win over $50,000 Prizes including GMAT Club Tests and Quizzes, Admissions Fee Waivers, and just get to meet other applicants! Live now on YouTube!

Go to Session Schedule
For all positive numbers x, Δx is defined as the cube root of x, and ∇
4 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
Tags:
Find Similar Topics 

Show Tags
Hide Tags

User avatar
V
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 77180
Premium Member CAT Tests Top Member of the Month
For all positive numbers x, Δx is defined as the cube root of x, and ∇ [#permalink] New post  22 Aug 2018, 03:12
11
Bookmarks
Expert Reply
Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
00:00
A
B
C
D
E

Difficulty:

15% (low)

Question Stats:

81% (01:24) correct 19% (01:53) wrong based on 156 sessions

Hide Show 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
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.

_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
User avatar
V
pushpitkc
Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3229
Location: India
GPA: 3.12
For all positive numbers x, Δx is defined as the cube root of x, and ∇ [#permalink] New post  22 Aug 2018, 03:18
1
Bookmarks
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

Connect with me on LinkedIn - https://www.linkedin.com/in/pushpit-chhajer-19388112a/
Signature Read More
User avatar
D
PKN
Director
Director
Joined: 01 Oct 2017
Status:Learning stage
Posts: 936
WE:Supply Chain Management (Energy and Utilities)
For all positive numbers x, Δx is defined as the cube root of x, and ∇ [#permalink] New post  22 Aug 2018, 03:23
2
Kudos
2
Bookmarks
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
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 19435
Re: For all positive numbers x, Δx is defined as the cube root of x, and ∇ [#permalink] New post  08 May 2021, 03:25
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
gmatclubot
Re: For all positive numbers x, Δx is defined as the cube root of x, and ∇ [#permalink]
08 May 2021, 03:25
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderators:
chetan2u
Math Expert
10005 posts
Bunuel
Math Expert
77180 posts
yashikaaggarwal
Senior Moderator - Masters Forum
2540 posts
generis
Senior SC Moderator
4806 posts

cron

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