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

It is currently 18 Aug 2019, 10:20

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.

Close

Request Expert Reply

Confirm Cancel

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  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 57030
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
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

79% (01:27) correct 21% (01:54) wrong based on 67 sessions

HideShow timer Statistics

VP
VP
User avatar
D
Status: Learning stage
Joined: 01 Oct 2017
Posts: 1031
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
Senior PS Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3355
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
GMAT Club Bot
For all positive numbers x, Δx is defined as the cube root of x, and ∇   [#permalink] 22 Aug 2018, 04:18
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  





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