Events & Promotions
|
|
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.
May 1609:00 PM PDT
-10:00 PM PDT
Full-length FE mock with insightful analytics, weakness diagnosis, and video explanations!
May 1706:30 AM PDT
-08:30 AM PDT
We know Strengthen and Weaken questions account for more than 50% of the CR questions on the GMAT. With CR becoming even more important on GMAT Focus, it's time you strengthen your weaknesses with an approach that improves your solving time and accuracy!
May 1711:00 AM IST
-01:00 PM IST
Attend this session to learn how to Deconstruct arguments, Pre-Think Author’s Assumptions, and apply Negation Test.
May 1806:30 AM PDT
-08:30 AM PDT
Join Piyush Beriwala in this webinar as he guides you through a smart study plan to achieve the 99th %ile on the GMAT Focus. Learn the best strategies and tips to master the test and boost your score.
Jun 1006:00 AM PDT
-05:30 PM PDT
Register for the GMAT Club Virtual MBA Spotlight fair, the biggest MBA fair of the year. You will have a chance to hear Admissions directors from almost every Top 20 program speak, network with peers, and conveniently attend morning or afternoon sessions.
01 Feb 2024, 02:30
Kudos
Bookmarks
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
50% (01:41) correct
50%
(01:39)
wrong
based on 151
sessions
History
Date
Time
Result
Not Attempted Yet
If r and s are positive integers, what is the remainder when r + s is divided by 3?
(1) rs is divisible by 9
(2) s is divisible by 3
(1) rs is divisible by 9
(2) s is divisible by 3
01 Feb 2024, 13:47
Kudos
Bookmarks
E should be the option
First of all, if we divide some number by 3, we can have only 3 remainders which are 0,1,2; i.e, either the number is of the form 3k or 3k+1 or 3k+2.
Now we have to find the remainder of r+s and we are provided with 2 statements.
Statement 1: rs is divisible by 9.
r=4 s=9
rs=36
r+s=13 ; remainder 1 when divided by 3
r=3 s=6 rs=18
r+s = 9; remiander 0 when divided by 3
Multiple possibilities. Not sufficient
Statement 2: s is divisible by 3
s=3 r=1
r+s=4; remainder 1 when divided by 3
s=3 r=2
r+s=5; remainder 2 when divided by 3
Again multiple possibilities. Not sufficient
If both statements are clubbed together:
rs is divisible by 9 and s is of the form 3k
r=3, s=6, rs=18=9*2, r+s=9; remainder 0
r=4, s=18, rs=72=9*8, r+s=22; remainder 1
So again doesn't give specific answer.
Not sufficient
So Neither of them individually or together is sufficient.
Hence, option E should be correct
First of all, if we divide some number by 3, we can have only 3 remainders which are 0,1,2; i.e, either the number is of the form 3k or 3k+1 or 3k+2.
Now we have to find the remainder of r+s and we are provided with 2 statements.
Statement 1: rs is divisible by 9.
r=4 s=9
rs=36
r+s=13 ; remainder 1 when divided by 3
r=3 s=6 rs=18
r+s = 9; remiander 0 when divided by 3
Multiple possibilities. Not sufficient
Statement 2: s is divisible by 3
s=3 r=1
r+s=4; remainder 1 when divided by 3
s=3 r=2
r+s=5; remainder 2 when divided by 3
Again multiple possibilities. Not sufficient
If both statements are clubbed together:
rs is divisible by 9 and s is of the form 3k
r=3, s=6, rs=18=9*2, r+s=9; remainder 0
r=4, s=18, rs=72=9*8, r+s=22; remainder 1
So again doesn't give specific answer.
Not sufficient
So Neither of them individually or together is sufficient.
Hence, option E should be correct
01 Feb 2024, 13:52
Kudos
Bookmarks
With some basic testing I say the answer is E.
Statement one, testing with r=1 and s=9, remainder is 1, but testing with r=3 and s=9, remainder is 0. Not sufficient.
Statement two, testing with same values, still not sufficient.
Combining the statements doesn't change the tested values, so both statements together are insufficient.
Statement one, testing with r=1 and s=9, remainder is 1, but testing with r=3 and s=9, remainder is 0. Not sufficient.
Statement two, testing with same values, still not sufficient.
Combining the statements doesn't change the tested values, so both statements together are insufficient.
