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.
15 Oct 2021, 01:30
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
60% (03:05) correct
40%
(03:08)
wrong
based on 180
sessions
History
Date
Time
Result
Not Attempted Yet
There are N students in a class. When the students are distributed into groups that contain 4A number of students each, 3 students are left without a group. When the students are distributed into groups that contain A/3 number of students each, no students are left without a group. Which of the following statements is correct?
I. If the students are distributed into groups that contain A+ 1 students each, the number of students that are left without a group can be 2
II. If the students are distributed into groups that contain 3 students each, no students are left without a group
III. If the students are distributed into groups that contain 12 students each, 9 students are left without a group
A. I only
B. II only
C. III only
D. I and II only
E. II and III only
I. If the students are distributed into groups that contain A+ 1 students each, the number of students that are left without a group can be 2
II. If the students are distributed into groups that contain 3 students each, no students are left without a group
III. If the students are distributed into groups that contain 12 students each, 9 students are left without a group
A. I only
B. II only
C. III only
D. I and II only
E. II and III only
25 Oct 2023, 10:40
Kudos
Bookmarks
\(\frac{N}{4A}\) = Remainder 3.
Therefore, N is not divisible by A and N is not divisible by 4.
N divided by \(\frac{A}{3}\) = Remainder 0. 3N is divisible by A.
Since N is not divisible by A, 3 has to be divisible by A.
So, A=3. or A=1.
But A cannot be 1 as a group cannot have 1/3 students. Therefore, A=3.
Substituting A=3 :
\(\frac{N}{4A}\) = \(\frac{N}{4(3)}\) = \(\frac{N}{12}\) = Remainder 3.
So N=15, 27, 39,....
l. If the students are distributed into groups that contain A+ 1 students each, the number of students that are left without a group can be 2
A=3. So, A+1 = 4.
Take any of the values of N.
N=15 : \(\frac{N}{A+1} = \frac{15}{4}\) = Remainder 3
N=27 : \(\frac{ N}{A+1} = \frac{27}{4}\) = Remainder 3
Hence, not true.
ll. If the students are distributed into groups that contain 3 students each, no students are left without a group.
Take any of the values of N.
N=15 : \(\frac{15}{3}\) = Remainder 0
N=27 : \(\frac{27}{3}\) = Remainder 0
Hence, true.
lll. If the students are distributed into groups that contain 12 students each, 9 students are left without a group.
Take any of the values of N.
N=15 : \(\frac{15}{12}\) = Remainder 3
N=27 : \(\frac{27}{3} \)= Remainder 3
Hence, not true.
Therefore, Option B is the correct answer choice.
Therefore, N is not divisible by A and N is not divisible by 4.
N divided by \(\frac{A}{3}\) = Remainder 0. 3N is divisible by A.
Since N is not divisible by A, 3 has to be divisible by A.
So, A=3. or A=1.
But A cannot be 1 as a group cannot have 1/3 students. Therefore, A=3.
Substituting A=3 :
\(\frac{N}{4A}\) = \(\frac{N}{4(3)}\) = \(\frac{N}{12}\) = Remainder 3.
So N=15, 27, 39,....
l. If the students are distributed into groups that contain A+ 1 students each, the number of students that are left without a group can be 2
A=3. So, A+1 = 4.
Take any of the values of N.
N=15 : \(\frac{N}{A+1} = \frac{15}{4}\) = Remainder 3
N=27 : \(\frac{ N}{A+1} = \frac{27}{4}\) = Remainder 3
Hence, not true.
ll. If the students are distributed into groups that contain 3 students each, no students are left without a group.
Take any of the values of N.
N=15 : \(\frac{15}{3}\) = Remainder 0
N=27 : \(\frac{27}{3}\) = Remainder 0
Hence, true.
lll. If the students are distributed into groups that contain 12 students each, 9 students are left without a group.
Take any of the values of N.
N=15 : \(\frac{15}{12}\) = Remainder 3
N=27 : \(\frac{27}{3} \)= Remainder 3
Hence, not true.
Therefore, Option B is the correct answer choice.
General Discussion
16 Oct 2021, 03:16
Kudos
Bookmarks
Let value of A be 3
such that 4A ; 12 and 3 students are left behind means that total 9 students are in groups
later A/3 ; 3/3 ; 1 group such that no student is left behind
I. If the students are distributed into groups that contain A+ 1 students each, the number of students that are left without a group can be 2
A+1 ; 4 this is not sufficient as 4*4 ; A/3 ; 1 student is left behind ; incorrect
II. If the students are distributed into groups that contain 3 students each, no students are left without a group
A has to be factor of 3 A/3 will always leave no student without a group correct
III. If the students are distributed into groups that contain 12 students each, 9 students are left without a group
This cannot be correct as 12 *x ; or 12*x/3 will always leave no students behind ; incorrect
option II is only correct
option B
such that 4A ; 12 and 3 students are left behind means that total 9 students are in groups
later A/3 ; 3/3 ; 1 group such that no student is left behind
I. If the students are distributed into groups that contain A+ 1 students each, the number of students that are left without a group can be 2
A+1 ; 4 this is not sufficient as 4*4 ; A/3 ; 1 student is left behind ; incorrect
II. If the students are distributed into groups that contain 3 students each, no students are left without a group
A has to be factor of 3 A/3 will always leave no student without a group correct
III. If the students are distributed into groups that contain 12 students each, 9 students are left without a group
This cannot be correct as 12 *x ; or 12*x/3 will always leave no students behind ; incorrect
option II is only correct
option B
Bunuel
