|
|
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.
05 Apr 2020, 18:48
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
73% (01:44) correct
27%
(02:37)
wrong
based on 67
sessions
History
Date
Time
Result
Not Attempted Yet
If \(m\) and \(n\) denote the tens’ and units’ digits of the six-digit number 763,2\(mn\). Is 763,2\(mn\) divisible by 6?
(I) \(m + n\) = 9
(II) The two-digit number \(mn\) is divisible by 4.
(I) \(m + n\) = 9
(II) The two-digit number \(mn\) is divisible by 4.
05 Apr 2020, 19:53
Kudos
Bookmarks
sjuniv32
763,2\(mn\) will be divisible by 6, if it is divisible by both 2 and 3..
a) divisibility by 2..
the units digit or n should be even
b) divisibility by 3..
the sum of digits should be divisible by 3. So, 7+6+3+2+m+n=18+m+n or m+n should be divisible by 3
(I) \(m + n\) = 9
So 7632mn is divisible by 3, but
if m=4 and n=5, not divisible by 2
if m=5 and n=4, divisible by 2
Insuff
(II) The two-digit number \(mn\) is divisible by 4
So 7632mn is divisible by 2, but
if m=3 and n=2, not divisible by 3
if m=5 and n=4, divisible by 2
Insuff
Combined,
Statement I says 7632mn is divisible by 3
Statement II says 7632mn is divisible by 2
So, 7632mn is divisible by 6
Suff
C
05 Apr 2020, 22:01
Kudos
Bookmarks
sjuniv32
Is 7632mn/6=int?
Statement 1: m+n=9
7+6+3+2+9=27 divisible by 3
If m=6, n=3 not divisible by 2
But if m=3, n=6 divisible by 2
Insufficient
Statement 2: mn/4=int
If mn=04 not divisible by 3
If mn=36 divisible by 3
Insufficient
Statement 1 and 2:
Only possibilities are 36 and 72
Sufficient
C
