Last visit was: 19 Jul 2025, 23:15 It is currently 19 Jul 2025, 23:15
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
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 19 Jul 2025
Posts: 102,627
Own Kudos:
742,831
 [8]
Given Kudos: 98,235
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 102,627
Kudos: 742,831
 [8]
1
Kudos
Add Kudos
7
Bookmarks
Bookmark this Post
Most Helpful Reply
User avatar
0akshay0
Joined: 19 Apr 2016
Last visit: 14 Jul 2019
Posts: 194
Own Kudos:
622
 [5]
Given Kudos: 59
Location: India
GMAT 1: 570 Q48 V22
GMAT 2: 640 Q49 V28
GPA: 3.5
WE:Web Development (Computer Software)
GMAT 2: 640 Q49 V28
Posts: 194
Kudos: 622
 [5]
5
Kudos
Add Kudos
Bookmarks
Bookmark this Post
General Discussion
avatar
giobas
Joined: 09 Sep 2016
Last visit: 09 Nov 2017
Posts: 34
Own Kudos:
Given Kudos: 10
Location: Georgia
Concentration: Finance, International Business
GPA: 3.75
WE:Analyst (Finance: Investment Banking)
Posts: 34
Kudos: 302
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
mohshu
Joined: 21 Mar 2016
Last visit: 26 Dec 2019
Posts: 426
Own Kudos:
Given Kudos: 103
Products:
Posts: 426
Kudos: 133
Kudos
Add Kudos
Bookmarks
Bookmark this Post
prime factorize..

4^y should account for 7, hence cannot be determined.

Ans E
User avatar
Abhishek009
User avatar
Board of Directors
Joined: 11 Jun 2011
Last visit: 18 Jul 2025
Posts: 5,965
Own Kudos:
Given Kudos: 463
Status:QA & VA Forum Moderator
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Posts: 5,965
Kudos: 5,162
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
For integers x, y, and z, \(3^x4^y5^z=382725\). What is the value of product xyz?

A. 0
B. 15
C. 30
D. 45
E. Cannot be determined

\(3^x*4^y*5^z=382725 = 3^7 * 5^2 * 7^1\)

So, we do not have any 4's in the Factorization, thus, answer must be (E) Cannot be determined
User avatar
chetan2u
User avatar
GMAT Expert
Joined: 02 Aug 2009
Last visit: 19 Jul 2025
Posts: 11,294
Own Kudos:
41,844
 [1]
Given Kudos: 333
Status:Math and DI Expert
Products:
Expert
Expert reply
Posts: 11,294
Kudos: 41,844
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
For integers x, y, and z, \(3^x4^y5^z=382725\). What is the value of product xyz?

A. 0
B. 15
C. 30
D. 45
E. Cannot be determined

Hi,

It is given that x, y and z are integers...
So 4^y cannot be 7...
Value of y as an integer has to be 0, so product xyz is 0..

Bunuel, some error in Q, could be typo..
There has to be 7 on left hand side..
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 19 Jul 2025
Posts: 102,627
Own Kudos:
Given Kudos: 98,235
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 102,627
Kudos: 742,831
Kudos
Add Kudos
Bookmarks
Bookmark this Post
chetan2u
Bunuel
For integers x, y, and z, \(3^x4^y5^z=382725\). What is the value of product xyz?

A. 0
B. 15
C. 30
D. 45
E. Cannot be determined

Hi,

It is given that x, y and z are integers...
So 4^y cannot be 7...
Value of y as an integer has to be 0, so product xyz is 0..

Bunuel, some error in Q, could be typo..
There has to be 7 on left hand side..

You are right but the original question does not have it. Edited the question to correct the issue. Thank you for noticing.
avatar
RR88
Joined: 18 Oct 2016
Last visit: 16 Oct 2019
Posts: 109
Own Kudos:
Given Kudos: 91
Location: India
WE:Engineering (Energy)
Posts: 109
Kudos: 148
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Option A

Given: \(3^x4^y5^z = 54675; xyz = ?\)

:54675 is an odd number, hence can't have any even factors or in other words y = 0 (\(4^0 = 1\)).
: xyz = 0
User avatar
JhonnyMe
Joined: 07 Dec 2024
Last visit: 19 Jul 2025
Posts: 15
Own Kudos:
Given Kudos: 124
Products:
Posts: 15
Kudos: 8
Kudos
Add Kudos
Bookmarks
Bookmark this Post
382725 is an odd number. Hence 4 is not a factor. Hence xyz = 0.
Moderators:
Math Expert
102627 posts
PS Forum Moderator
698 posts