|
|
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.
09 Dec 2019, 11:07
Kudos
Bookmarks
Quote:
(1) \(5^m∗3^n=45\) insufic
\(5^m∗3^n=5*3^2…(m,n)=(1,2;ln(45)/ln(5),0;0,ln(45)/ln(3)\)
(2) \(9^{(m−1)(n−2)}=1\) insufic
(m,n)=(1,any;any,2)
(1)&(2) sufic
From (2) we know that they are integers ≠ 0, so from (1) mn=(1,2)=2.
Ans (C)
04 Jan 2020, 10:57
Kudos
Bookmarks
gmatbusters
Asked: What is the value of mn?
(1) \(5^m*3^n=45\)
Since m & n may not be positive integers
NOT SUFFICIENT
(2) \(9^{(m-1)(n-2)}=1\)
(m-1)(n-2) = 0
Either m=1 or n=2 or both
NOT SUFFICIENT
(1) + (2)
(1) \(5^m*3^n=45\)
(2) \(9^{(m-1)(n-2)}=1\)
m = 1 or n=2 or both
If m=1
5^1*3^n=45
n=2
If n=2
5^m*3^2 = 45
m=1
m=1 & n=2
mn=2
SUFFICIENT
IMO C
12 Mar 2020, 11:29
Kudos
Bookmarks
Sir, we factorise a number into prime factors.
In statement A, 15 is not a prime factor.
So, how did you eliminate A?
In statement A, 15 is not a prime factor.
So, how did you eliminate A?
Archit3110
