Last visit was: 27 Dec 2024, 11:07 It is currently 27 Dec 2024, 11:07
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

GRE Prep 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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GRE score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
PREVIOUS TOPIC
NEXT TOPIC

A Mathematics program was tried out in 2 classes in each of 32

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
D
KarunMendiratta
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Own Kudos [?]: 3273 [3]
Given Kudos: 172
Location: India
WE:Education (Education)
Send PM
A Mathematics program was tried out in 2 classes in each of 32 [#permalink] New post   09 Sep 2021, 10:10
1
2
Bookmarks
00:00

Question Stats:

42% (02:26) correct 57% (02:37) wrong based on 14 sessions

Hide Show timer Statistics

A Mathematics program was tried out in 2 classes in each of 32 elementary schools which involved 37 teachers. Each of the classes had 1 teacher and each of the teachers taught at least 1, but not more than 3 classes.

Quantity A
Quantity B
Greatest number of teachers who taught 3 classes
13


A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
ShowHide Answer
Official Answer
C
User avatar
G
motion2020
Retired Moderator
Joined: 19 Nov 2020
Posts: 326
Own Kudos [?]: 377 [1]
Given Kudos: 64
GRE 1: Q160 V152
Send PM
A Mathematics program was tried out in 2 classes in each of 32 [#permalink] New post   09 Sep 2021, 12:28
1
Total number of classes = 2*32=64
37 teachers taught 64 classess implies that at least 37 classes had 1 teacher, and the remaining 27 classes had 2 or 3 teachers. For any teacher to teach 3 classes, the teacher must sign on to 2 additional classes. Hence, \(27/2\) results in 13

Quantity A: 13
Quantity B: 13

answer is C

KarunMendiratta wrote:
A Mathematics program was tried out in 2 classes in each of 32 elementary schools which involved 37 teachers. Each of the classes had 1 teacher and each of the teachers taught at least 1, but not more than 3 classes.

Quantity A
Quantity B
Greatest number of teachers who taught 3 classes
13


A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
avatar
B
test01
Manager
Manager
Joined: 23 Sep 2023
Posts: 65
Own Kudos [?]: 15 [0]
Given Kudos: 59
Send PM
Re: A Mathematics program was tried out in 2 classes in each of 32 [#permalink] New post   09 Nov 2023, 05:41
motion2020 wrote:
Total number of classes = 2*32=64
37 teachers taught 64 classess implies that at least 37 classes had 1 teacher, and the remaining 27 classes had 2 or 3 teachers. For any teacher to teach 3 classes, the teacher must sign on to 2 additional classes. Hence, \(27/2\) results in 13

Quantity A: 13
Quantity B: 13

answer is C

KarunMendiratta wrote:
A Mathematics program was tried out in 2 classes in each of 32 elementary schools which involved 37 teachers. Each of the classes had 1 teacher and each of the teachers taught at least 1, but not more than 3 classes.

Quantity A
Quantity B
Greatest number of teachers who taught 3 classes
13


A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given



Carcass, why is he dividing by 2? Is there an alternative way of solving this?

Even I got that 27 classes have teachers who are either teaching 2 classes or 3 classes. So, to maximise teachers teaching 3 classes, we will have to consider that no one is teaching 2 classes, then all 27 teach 3 classes? But this doesn't make too much sense. Please help!!
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30518
Own Kudos [?]: 36889 [0]
Given Kudos: 26113
Send PM
Re: A Mathematics program was tried out in 2 classes in each of 32 [#permalink] New post   09 Nov 2023, 06:52
Expert Reply
Each teacher took at least 1 class; that means that 37 classes are taken and remaining classes 64-37= 27 classes are divided among 37 teachers again.

If 1 class is given to each teacher, 27 can be divided among 27 teachers, making no teacher teaching 3 classes.

But if 2 classes are given to any of the 37 teachers, we can distribute the classes among 27/2= 13.5= 13 teachers.
Prep Club for GRE Bot
gmatclubot
Re: A Mathematics program was tried out in 2 classes in each of 32 [#permalink]
09 Nov 2023, 06:52
Moderators:
adewale223
GRE Instructor
88 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1116 posts
VibhuAnurag
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact