Find all School-related info fast with the new School-Specific MBA Forum

It is currently 15 Apr 2014, 23:57

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If the ratio of the number of teachers to the number of

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
1 KUDOS received
Manager
Manager
Joined: 02 Dec 2012
Posts: 178
Followers: 1

Kudos [?]: 31 [1] , given: 0

If the ratio of the number of teachers to the number of [#permalink] New post 06 Dec 2012, 03:50
1
This post received
KUDOS
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

52% (02:24) correct 47% (01:41) wrong based on 111 sessions
If the ratio of the number of teachers to the number of students is the same in School District M and School District P, what is the ratio of the number of students in School District M to the number of students in School District P ?

(1) There are 10,000 more students in School District M than there are in School District P.
(2) The ratio of the number of teachers to the number of students in School District M is 1 to 20.
[Reveal] Spoiler: OA
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 17278
Followers: 2865

Kudos [?]: 18314 [0], given: 2345

GMAT Tests User CAT Tests
Re: If the ratio of the number of teachers to the number of [#permalink] New post 06 Dec 2012, 03:52
Expert's post
If the ratio of the number of teachers to the number of students is the same in School District M and School District P, what is the ratio of the number of students in School District M to the number of students in School District P ?

Given that \frac{T_m}{S_m}=\frac{T_p}{S_p}, where T_m and S_m are the numbers of teachers and students, respectively, in District M, and T_p and S_p are the numbers of teachers and students, respectively, in District P.

We need to find the value of \frac{S_m}{S_p} --> \frac{S_m}{S_p}=\frac{T_m}{T_p}

(1) There are 10,000 more students in School District M than there are in School District P --> S_m=S_p+10,000. Not sufficient.

(2) The ratio of the number of teachers to the number of students in School District M is 1 to 20 --> \frac{T_m}{S_m}=\frac{1}{20}. Not sufficient.

(1)+(2) Still not sufficient, consider S_p=1,000 and S_m=11,000 (answer 11) AND S_p=10,000 and S_m=20,000 (answer 2).

Answer: E.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 4169
Location: Pune, India
Followers: 894

Kudos [?]: 3777 [0], given: 148

Re: If the ratio of the number of teachers to the number of [#permalink] New post 24 Jun 2013, 20:42
Expert's post
Walkabout wrote:
If the ratio of the number of teachers to the number of students is the same in School District M and School District P, what is the ratio of the number of students in School District M to the number of students in School District P ?

(1) There are 10,000 more students in School District M than there are in School District P.
(2) The ratio of the number of teachers to the number of students in School District M is 1 to 20.


Responding to a pm:

Quote:
acc to me my answer is B... 1st statement its insufficient M=10,000+P
2nd statement..1: 20.. so number of students is 20x in both m and p so ratio is 20x:20x... myanswer is B


Teacher:Student ratio in M = 1:20. No of teachers in M = m, No of students in M = 20m
Teacher:Student ratio in P = 1:20. No of teachers in M = p, No of students in M = 20p

Mind you, we dont know the value of m and p. All we know is that the teacher student ratio is 1:20 in both.

Ratio of number of students in M: Number of students in P = 20m : 20p = m:p.
We don't know m:p.

You are assuming that both are 20x. How can you say that the multiplier is the same in both the schools? M could have 20 students and 1 teacher while P could have 40 students are 2 teachers. In that case, ratio of number of students = 1:2
M could have 20 students and 1 teacher while P could have 80 students are 4 teachers. In that case, ratio of number of students = 1:4
and so on...
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Save $100 on Veritas Prep GMAT Courses And Admissions Consulting
Enroll now. Pay later. Take advantage of Veritas Prep's flexible payment plan options.

Veritas Prep Reviews

Re: If the ratio of the number of teachers to the number of   [#permalink] 24 Jun 2013, 20:42
    Similar topics Author Replies Last post
Similar
Topics:
New posts At a certain University, the ratio of the number of teachers zorro13 2 06 Sep 2006, 09:39
New posts Q: At a school, the number of teachers to the number of Summer3 8 24 Mar 2007, 16:03
New posts The ratio of the number of women to the number of men to the singh_amit19 2 29 Sep 2007, 23:59
New posts At Jefferson Elementary School, the number of teachers and s crejoc 6 09 Aug 2009, 07:57
This topic is locked, you cannot edit posts or make further replies. New 6 Experts publish their posts in the topic If the ratio of the number of teachers to the number of gtr022001 7 21 May 2011, 10:12
Display posts from previous: Sort by

If the ratio of the number of teachers to the number of

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.