BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Teacher/Students

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Senior | Next Rank: 100 Posts
Posts: 65
Joined: Fri Jul 24, 2009 11:47 am
Thanked: 5 times

Teacher/Students

by rish » Mon Sep 07, 2009 7:09 am
At a certain university, the ration of number of teaching assistants to the number of students in any course must always be greater then 3:80. At this university, what is the maximum number of students possible in a course that has 5 teaching assistants ?

a)130
b)131
c)132
d)133
e)134

Plz explain your answer.
Top
Source: — Problem Solving |
Senior | Next Rank: 100 Posts
Posts: 77
Joined: Sun Jun 21, 2009 10:25 am
Location: Germany
Thanked: 7 times

by Nermal » Mon Sep 07, 2009 9:52 am
IMO D (133)

Teachers(t)/Students(s)=3/80
80t=3s

t=5

80*5/3=s=133,333333...
Top
Senior | Next Rank: 100 Posts
Posts: 65
Joined: Fri Jul 24, 2009 11:47 am
Thanked: 5 times

by rish » Mon Sep 07, 2009 9:58 am
Nermal wrote:IMO D (133)

Teachers(t)/Students(s)=3/80
80t=3s

t=5

80*5/3=s=133,333333...
I used the same method. But i am still not able to understand why it is 133 and not 134 ?

If it is 133 then the ration will be lest then 3/80. M i missing something here ?
Top
Senior | Next Rank: 100 Posts
Posts: 77
Joined: Sun Jun 21, 2009 10:25 am
Location: Germany
Thanked: 7 times

by Nermal » Mon Sep 07, 2009 10:05 am
rish wrote:
Nermal wrote:IMO D (133)

Teachers(t)/Students(s)=3/80
80t=3s

t=5

80*5/3=s=133,333333...
I used the same method. But i am still not able to understand why it is 133 and not 134 ?

If it is 133 then the ration will be lest then 3/80. M i missing something here ?
I figured that you cannot have 1/3 of a person and since we are supposed to find the maximum number we must take the smaller number here.
If we take 134 then the ratio will actually be worse than 3:80 and this must not be.
Top
Master | Next Rank: 500 Posts
Posts: 175
Joined: Mon Feb 09, 2009 3:57 pm
Thanked: 4 times

by tom4lax » Mon Sep 07, 2009 10:54 am
think of it this way. Ratio must be greater than 3:80. In order to satisfy this requirement, we either increase the TA to 4 or reduce the students to 79.
Since question is asking how many students, we reduce 133.33 (which does not satisfy the condition anyway) to 133.
Top
Post new topic Post Reply
• Page 1 of 1