|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
08 Jan 2023, 02:39
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
63% (02:00) correct
37%
(01:25)
wrong
based on 98
sessions
History
Date
Time
Result
Not Attempted Yet
If m and n are positive integers, is mn a multiple of 9?
(1) m + n is a multiple of 3
(2) mn is a multiple of 3
(1) m + n is a multiple of 3
(2) mn is a multiple of 3
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
08 Jan 2023, 03:13
Kudos
Bookmarks
statement 1
m+n=3,6,9
m+n=6
m=3 n=2
m=5 n=1
different values of m and n
mn may be multiple of 9 and may be not
insufficient
statement 2
mn=3,6,9,12,15
mn may be multiple of 9 and may be not
insufficient
combining 1 and 2
same insufficient
option E correct
m+n=3,6,9
m+n=6
m=3 n=2
m=5 n=1
different values of m and n
mn may be multiple of 9 and may be not
insufficient
statement 2
mn=3,6,9,12,15
mn may be multiple of 9 and may be not
insufficient
combining 1 and 2
same insufficient
option E correct
08 Jan 2023, 07:32
Kudos
Bookmarks
Bunuel
Given : m and n are positive integers
Question : mn a multiple of 9
Statement 1
(1) m + n is a multiple of 3
m and n can individually be multiple of 3. In that case, m*n will be multiple of 9.
Alternatively, m and n individually are not multiple of 3, but the sum is a multiple of 3.
Example : m = 2 , n = 1
If this was the case, m * n would not be multiple of 9.
The statement is not sufficient.
Statement 2
mn is a multiple of 3
m and n are both multiple of 3. In that case, m*n will be multiple of 9.
Alternatively, m or n is a multiple of 3, but both are not multiple of 3.
Example : m = 5 , n = 3
If this was the case, m * n would not be multiple of 9.
The statement is not sufficient.
Combined
If a multiple and non multiple are added, the resultant is a non multiple. Hence we can rule out the possibility that m or n is a multiple of 3 but not both.
Option C
