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

It is currently 14 Dec 2019, 18:02

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

What is the value of non-zero integer z? (1) |z|^3 = 3^z (2) z^z = z^3

  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: 59725
What is the value of non-zero integer z? (1) |z|^3 = 3^z (2) z^z = z^3  [#permalink]

Show Tags

New post 01 Oct 2019, 03:13
1
1
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

49% (01:45) correct 51% (01:21) wrong based on 63 sessions

HideShow timer Statistics

Senior Manager
Senior Manager
User avatar
P
Joined: 31 May 2018
Posts: 461
Location: United States
Concentration: Finance, Marketing
Re: What is the value of non-zero integer z? (1) |z|^3 = 3^z (2) z^z = z^3  [#permalink]

Show Tags

New post 01 Oct 2019, 05:21
1
1
Z is a non-zero integer

STATEMENT (1) - \(|z|^3\) = \(3^z\)
--here z cant be negative because if z = -ve then \(|z|^3\) = fraction which is not possible (since z is an integer \(|z|^3\) must be an integer)
--so from here we know z is +ve integer
z = 3 is the only positive integer satisfying the equation
SUFFICIENT

STATEMENT (2) -\(z^z\)= \(z^3\)

if z = 1 then \(z^z\)= \(z^3\)
if z = 3 then \(z^z\)= \(z^3\)
we cant get definite value of z
so, INSUFFICIENT

A is the answer
Director
Director
avatar
P
Joined: 24 Nov 2016
Posts: 972
Location: United States
Re: What is the value of non-zero integer z? (1) |z|^3 = 3^z (2) z^z = z^3  [#permalink]

Show Tags

New post 19 Nov 2019, 06:35
Bunuel wrote:
What is the value of non-zero integer z?


(1) \(|z|^3 = 3^z\)

(2) \(z^z = z^3\)


\(z=integer≠0\)

(1) \(|z|^3 = 3^z\) sufic

\(3^z≥0…z≠0…3^z>0…|z|^3>0…z>0…(z)^3=3^z…z=3\)

(2) \(z^z = z^3\) insufic

\(z=(1,-1,3)\)

Ans (A)
Intern
Intern
avatar
Joined: 12 Nov 2019
Posts: 6
Re: What is the value of non-zero integer z? (1) |z|^3 = 3^z (2) z^z = z^3  [#permalink]

Show Tags

New post 19 Nov 2019, 06:43
Thank you very much for the answers. I could not have done it without you, since it is difficult for me at this level of my progress.
GMAT Club Bot
Re: What is the value of non-zero integer z? (1) |z|^3 = 3^z (2) z^z = z^3   [#permalink] 19 Nov 2019, 06:43
Display posts from previous: Sort by

What is the value of non-zero integer z? (1) |z|^3 = 3^z (2) z^z = z^3

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





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