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.
Nov 2007:30 AM PST
-08:30 AM PST
Learn what truly sets the UC Riverside MBA apart and how it helps in your professional growth
Nov 2211:00 AM IST
-01:00 PM IST
Do RC/MSR passages scare you? e-GMAT is conducting a masterclass to help you learn – Learn effective reading strategies Tackle difficult RC & MSR with confidence Excel in timed test environment- Nov 23
11:00 AM IST
-01:00 PM IST
Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease. 
Nov 2510:00 AM EST
-11:00 AM EST
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors.
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
76% (01:32) correct
24%
(01:42)
wrong
based on 193
sessions
History
Date
Time
Result
Not Attempted Yet
What is the remainder when the positive integer X is divided by 12?
(1) When X is divided by 3 the remainder is 2
(2) When X is divided by 4 the remainder is 3
(1) When X is divided by 3 the remainder is 2
(2) When X is divided by 4 the remainder is 3
15 Dec 2014, 10:01
Kudos
Bookmarks
i think the ans is C.
1) reminder when x/3=2
so x can take 5,8,11,14,17,20,23,26,29,32,35,..
Then reminder of x/12= 5,8,11,2,5,8,11...
insufficient
2) reminder when x/4=3
so x can take 3,7,11,15,19,23,27,31,35,39....
Then reminder of x/12= 3,7,11,3,7,11
insufficient
1+2) Common values for x that satify both stmt's are 11,23,35
Then reminder of x/12= 11,11,11
sufficient
Ans C
1) reminder when x/3=2
so x can take 5,8,11,14,17,20,23,26,29,32,35,..
Then reminder of x/12= 5,8,11,2,5,8,11...
insufficient
2) reminder when x/4=3
so x can take 3,7,11,15,19,23,27,31,35,39....
Then reminder of x/12= 3,7,11,3,7,11
insufficient
1+2) Common values for x that satify both stmt's are 11,23,35
Then reminder of x/12= 11,11,11
sufficient
Ans C
17 Dec 2014, 06:33
Kudos
Bookmarks
What is the remainder when the positive integer X is divided by 12?
(1) When X is divided by 3 the remainder is 2 --> x = 3q + 2 --> x could be 2, 5, 8, 11, 14, ... If x is 2, then the remainder upon division x by 12 will be 2 but if x is 5, then the remainder upon division x by 12 will be 5. Not sufficient.
(2) When X is divided by 4 the remainder is 3 --> x = 4p + 3 --> x could be 3, 7, 11, 15, 19, ... If x is 3, then the remainder upon division x by 12 will be 3 but if x is 7, then the remainder upon division x by 12 will be 7. Not sufficient.
(1)+(2) x = 3q + 2 and x = 4p + 3 implies that x = 12n + 11 (for more about deriving general formula check: manhattan-remainder-problem-93752.html#p721341), thus x divided by 12 gives the remainder of 11. Sufficient.
Answer: C.
(1) When X is divided by 3 the remainder is 2 --> x = 3q + 2 --> x could be 2, 5, 8, 11, 14, ... If x is 2, then the remainder upon division x by 12 will be 2 but if x is 5, then the remainder upon division x by 12 will be 5. Not sufficient.
(2) When X is divided by 4 the remainder is 3 --> x = 4p + 3 --> x could be 3, 7, 11, 15, 19, ... If x is 3, then the remainder upon division x by 12 will be 3 but if x is 7, then the remainder upon division x by 12 will be 7. Not sufficient.
(1)+(2) x = 3q + 2 and x = 4p + 3 implies that x = 12n + 11 (for more about deriving general formula check: manhattan-remainder-problem-93752.html#p721341), thus x divided by 12 gives the remainder of 11. Sufficient.
Answer: C.
