NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 11:52 It is currently 25 Apr 2024, 11:52
Decision Tracker
My Rewards
New posts
New comers' posts

Close
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

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 GMAT 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

At certain university ,the ratio of teachers to students for

 1   2   
User avatar
ishtmeet
Intern
Intern
Joined: 05 Mar 2006
Posts: 14
Own Kudos [?]: 1 [0]
Given Kudos: 0
Send PM
At certain university ,the ratio of teachers to students for [#permalink] New post   17 Oct 2006, 03:09
At certain university ,the ratio of teachers to students for evry course is always greater than 3:80. At this universty ,what is te maximum number of students possible in a course that has 5 teachers?
a.>130
b.>131
c.>132
d.>133
e.>134

I will appreciate answers with explanations.
Thanks



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
User avatar
SimaQ
Senior Manager
Senior Manager
Joined: 06 Feb 2006
Posts: 435
Own Kudos [?]: 498 [0]
Given Kudos: 0
Send PM
Re: At certain university ,the ratio of teachers to students for [#permalink] New post   17 Oct 2006, 04:30
D...

t/s>3/80
5/s>3/80
3s>400
s>133
User avatar
ishtmeet
Intern
Intern
Joined: 05 Mar 2006
Posts: 14
Own Kudos [?]: 1 [0]
Given Kudos: 0
Send PM
Re: At certain university ,the ratio of teachers to students for [#permalink] New post   17 Oct 2006, 10:10
The OA is d. I am trying to figure how is it d???
User avatar
SimaQ
Senior Manager
Senior Manager
Joined: 06 Feb 2006
Posts: 435
Own Kudos [?]: 498 [0]
Given Kudos: 0
Send PM
Re: At certain university ,the ratio of teachers to students for [#permalink] New post   17 Oct 2006, 10:19
ishtmeet wrote:
The OA is d. I am trying to figure how is it d???


The ratio is given: teachers/students>3/80

If there 5 teachers in the course simply write 5 instead of teachers in the equation:

teachers/students>3/80.... include 5 instead of teachers
5/students>3/80...cross multiply
3students>400
students>133... this is the answer....
User avatar
londonluddite
Manager
Manager
Joined: 30 Aug 2006
Posts: 223
Own Kudos [?]: 236 [0]
Given Kudos: 0
Send PM
Re: At certain university ,the ratio of teachers to students for [#permalink] New post   17 Oct 2006, 10:23
ratio is 3:80 minimum

if we have 5, we have increased the number of teachers by 2/3 (the equivalent of multiplying it by 5/3), therefore we need to increase the number of students by 2/3 (times by 5/3) also:

80*5/3 = 400/3
400/3 = 133.33333
User avatar
ishtmeet
Intern
Intern
Joined: 05 Mar 2006
Posts: 14
Own Kudos [?]: 1 [0]
Given Kudos: 0
Send PM
Re: At certain university ,the ratio of teachers to students for [#permalink] New post   17 Oct 2006, 10:39
Since the question is saying ratio is greater than 3/80 and we get 133.33 so should'nt it be 134. I got this question in GMATPREP in the morning and OA is d i.e 134.
User avatar
londonluddite
Manager
Manager
Joined: 30 Aug 2006
Posts: 223
Own Kudos [?]: 236 [0]
Given Kudos: 0
Send PM
Re: At certain university ,the ratio of teachers to students for [#permalink] New post   17 Oct 2006, 11:09
yes u are right we cannot say > 133 as it is 133.3333, so we must say > 134
User avatar
Matrix02
Manager
Manager
Joined: 13 Sep 2006
Posts: 143
Own Kudos [?]: 55 [0]
Given Kudos: 0
Location: New York
Send PM
Re: At certain university ,the ratio of teachers to students for [#permalink] New post   17 Oct 2006, 11:45
ishtmeet wrote:
Since the question is saying ratio is greater than 3/80 and we get 133.33 so should'nt it be 134. I got this question in GMATPREP in the morning and OA is d i.e 134.


In your first post you say D >133 and here you are saying D is >134 - which one is it? Please clarify

I think it should be >133 as you cannot have 1/3 of a student so >134 is out.
User avatar
B
yezz
Retired Moderator
Joined: 05 Jul 2006
Posts: 849
Own Kudos [?]: 1562 [0]
Given Kudos: 49
Send PM
GMAT ToolKit User
Re: At certain university ,the ratio of teachers to students for [#permalink] New post   17 Oct 2006, 11:55
At certain university ,the ratio of teachers to students for evry course is always greater than 3:80. At this universty ,what is te maximum number of students possible in a course that has 5 teachers?

a.>130 b.>131 c.>132 d.>133 e.>134


3x = 5 thus x = 5/3

80x = 80*5/3= 133.3 the max is less than 133.3 = 133 my answer is D
User avatar
SimaQ
Senior Manager
Senior Manager
Joined: 06 Feb 2006
Posts: 435
Own Kudos [?]: 498 [0]
Given Kudos: 0
Send PM
Re: At certain university ,the ratio of teachers to students for [#permalink] New post   17 Oct 2006, 12:02
The answer must surely be 134.
Because we get s>133.3... it is E...
Got bit confused with answer choices indicated as >133 etc....

Because choice E as indicated here >134 is incorrect.....

The answer choices should be:

A) 130
B) 131
etc....

Or maybe it was intentional? I mean the answer choices, >133, >134
Then D is correct... Someone confirm the answer choices....
User avatar
B
yezz
Retired Moderator
Joined: 05 Jul 2006
Posts: 849
Own Kudos [?]: 1562 [0]
Given Kudos: 49
Send PM
GMAT ToolKit User
Re: At certain university ,the ratio of teachers to students for [#permalink] New post   Updated on: 17 Oct 2006, 12:14
3:80 = 0.0375
5:133 = 0.03759

5:134 = 0.0373

133 IS THE RIGHT ANSWER

Originally posted by yezz on 17 Oct 2006, 12:08.
Last edited by yezz on 17 Oct 2006, 12:14, edited 1 time in total.
User avatar
B
yezz
Retired Moderator
Joined: 05 Jul 2006
Posts: 849
Own Kudos [?]: 1562 [0]
Given Kudos: 49
Send PM
GMAT ToolKit User
Re: At certain university ,the ratio of teachers to students for [#permalink] New post   17 Oct 2006, 12:12
if we assumed we have 3 teachers / 80 students the ratio can increase but never decrease ( THE TEACHERS NUMBER WONT BE ENOUGH TO TEACH TO A BIGGER NUMBER OF STUDENTS

so if 5 teachers can teach to 133.3 students

then they can teach to less for sure but not for more

my answer is D 133
User avatar
Matrix02
Manager
Manager
Joined: 13 Sep 2006
Posts: 143
Own Kudos [?]: 55 [0]
Given Kudos: 0
Location: New York
Send PM
Re: At certain university ,the ratio of teachers to students for [#permalink] New post   17 Oct 2006, 12:15
Please confirm the answer choices. The > is throwing me off. I agree that it could be 134 if this means S is LESS THAN 134.
User avatar
yogeshsheth
Senior Manager
Senior Manager
Joined: 01 Oct 2006
Posts: 301
Own Kudos [?]: 71 [0]
Given Kudos: 0
Re: At certain university ,the ratio of teachers to students for [#permalink] New post   17 Oct 2006, 12:31
I too had the same doubt ..SAMq has changed the inequality while cross multiplying..
thus answer should be s<133 and then D makes sense...

Please confirm the answer choices..
User avatar
B
yezz
Retired Moderator
Joined: 05 Jul 2006
Posts: 849
Own Kudos [?]: 1562 [0]
Given Kudos: 49
Send PM
GMAT ToolKit User
Re: At certain university ,the ratio of teachers to students for [#permalink] New post   17 Oct 2006, 12:32
Matrix my buddy allow me to explain if u dont mind


the question says ( ratio is GREATER) than 3:80 ( a fraction to increase is by one of two things

nominator constant and incr deniminator or



deniminator constant while decrease nominator

in our problem

3:80 is equivelant to 5:133.3 to make it greater as mentioned in the stem

decrease 133.3 to 133

I hope this helps
User avatar
yogeshsheth
Senior Manager
Senior Manager
Joined: 01 Oct 2006
Posts: 301
Own Kudos [?]: 71 [0]
Given Kudos: 0
Re: At certain university ,the ratio of teachers to students for [#permalink] New post   17 Oct 2006, 12:42
We need to find the max students such t:s ratio is always greater than 3:80
if we chose D the ratio 5:133 which is 0.03759
if we chose E the ratio will be 0.0373 thus s>134 can not be an option..
thus POE says D but have a doubt s>133 would actually mean 134 which decreases ratio below 3:80..
Thus guess the answer choices should be less..

Please correct me if I am wrong..
User avatar
Matrix02
Manager
Manager
Joined: 13 Sep 2006
Posts: 143
Own Kudos [?]: 55 [0]
Given Kudos: 0
Location: New York
Send PM
Re: At certain university ,the ratio of teachers to students for [#permalink] New post   17 Oct 2006, 12:49
yezz wrote:
Matrix my buddy allow me to explain if u dont mind


the question says ( ratio is GREATER) than 3:80 ( a fraction to increase is by one of two things

nominator constant and incr deniminator or



deniminator constant while decrease nominator

in our problem

3:80 is equivelant to 5:133.3 to make it greater as mentioned in the stem

decrease 133.3 to 133

I hope this helps



Thanks Yezz. Very good explanation :-D
User avatar
asaf
Senior Manager
Senior Manager
Joined: 06 Sep 2006
Posts: 294
Own Kudos [?]: 171 [0]
Given Kudos: 0
Send PM
Re: At certain university ,the ratio of teachers to students for [#permalink] New post   17 Oct 2006, 13:16
At certain university ,the ratio of teachers to students for evry course is always greater than 3:80. At this universty ,what is te maximum number of students possible in a course that has 5 teachers?
a.>130
b.>131
c.>132
d.>133
e.>134

3 teachers means 80 students
1 teacher means 80/3 students
5 teachers means 80*5/3 = 400/3 =133.33

Since number of teachers can not be in decimal. Rounding off means D.
User avatar
anandsebastin
Senior Manager
Senior Manager
Joined: 23 Jun 2005
Posts: 346
Own Kudos [?]: 333 [0]
Given Kudos: 1
GMAT 1: 740 Q48 V42
Send PM
Re: At certain university ,the ratio of teachers to students for [#permalink] New post   17 Oct 2006, 16:07
Should be E.

For 3 teachers it is always more than 80 students.

For 5 teachers, it is more than at least 80*5/3 = 133.3.
Since it has to be more than, it is 134.
User avatar
anandsebastin
Senior Manager
Senior Manager
Joined: 23 Jun 2005
Posts: 346
Own Kudos [?]: 333 [0]
Given Kudos: 1
GMAT 1: 740 Q48 V42
Send PM
Re: At certain university ,the ratio of teachers to students for [#permalink] New post   17 Oct 2006, 16:11
yezz wrote:
if we assumed we have 3 teachers / 80 students the ratio can increase but never decrease ( THE TEACHERS NUMBER WONT BE ENOUGH TO TEACH TO A BIGGER NUMBER OF STUDENTS

so if 5 teachers can teach to 133.3 students

then they can teach to less for sure but not for more

my answer is D 133

You're right Yezz, it should be D.
GMAT Club Bot
gmatclubot
Re: At certain university ,the ratio of teachers to students for [#permalink]
17 Oct 2006, 16:11
 1   2   
Moderator:
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions