GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 10 Dec 2018, 07:24

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.

Close

Request Expert Reply

Confirm Cancel
Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • Free lesson on number properties

     December 10, 2018

     December 10, 2018

     10:00 PM PST

     11:00 PM PST

    Practice the one most important Quant section - Integer properties, and rapidly improve your skills.
  • Free GMAT Prep Hour

     December 11, 2018

     December 11, 2018

     09:00 PM EST

     10:00 PM EST

    Strategies and techniques for approaching featured GMAT topics. December 11 at 9 PM EST.

A manufacturing company employs staff.work full or part time

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Intern
Intern
User avatar
Joined: 27 Sep 2010
Posts: 24
A manufacturing company employs staff.work full or part time  [#permalink]

Show Tags

New post 23 Jan 2011, 01:57
1
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

100% (01:45) correct 0% (00:00) wrong based on 6 sessions

HideShow timer Statistics

Q) A manufacturing company employs staff who work either on full time basis or on part time basis. The ratio of number of males who work on part time basis to the number of males who work on full time basis is 4 to 5.And the ratio of number of females who work on part time basis to the number of males who work on part time basis is 3 to 2.If the ratio of the number of females who work on full time basis to the number of males who work on full time basis is 3:1, what is the ratio of number of females who work on part time basis to the number of females who work on full time basis ?

Answer:- 2 : 5

please explain....
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51070
Re: A manufacturing company employs staff.work full or part time  [#permalink]

Show Tags

New post 23 Jan 2011, 03:19
MichelleSavina wrote:
Q) A manufacturing company employs staff who work either on full time basis or on part time basis. The ratio of number of males who work on part time basis to the number of males who work on full time basis is 4 to 5. And the ratio of number of females who work on part time basis to the number of males who work on part time basis is 3 to 2. If the ratio of the number of females who work on full time basis to the number of males who work on full time basis is 3:1, what is the ratio of number of females who work on part time basis to the number of females who work on full time basis ?

Answer:- 2 : 5

please explain....


The ratio of number of males who work on part time basis to the number of males who work on full time basis is 4 to 5: \(\frac{male_p}{male_f}=\frac{4}{5}\);

The ratio of number of females who work on part time basis to the number of males who work on part time basis is 3 to 2: \(\frac{female_p}{male_p}=\frac{3}{2}=\frac{6}{4}\), so from above: \(\frac{female_p}{male_f}=\frac{6}{5}\) --> \(male_f=\frac{5*female_p}{6}\);

The ratio of the number of females who work on full time basis to the number of males who work on full time basis is 3:1: \(\frac{female_f}{male_f}=\frac{3}{1}\) --> \(\frac{female_f}{\frac{5*female_p}{6}}=\frac{3}{1}\) --> \(\frac{female_p}{female_f}=\frac{2}{5}\).
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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?
Extra-hard Quant Tests with Brilliant Analytics

Intern
Intern
User avatar
Joined: 13 Oct 2010
Posts: 21
Location: Milpitas, CA
Re: A manufacturing company employs staff.work full or part time  [#permalink]

Show Tags

New post 23 Jan 2011, 03:38
MichelleSavina wrote:
A manufacturing company employs staff who work either on full time basis or on part time basis. The ratio of number of males who work on part time basis to the number of males who work on full time basis is 4 to 5.And the ratio of number of females who work on part time basis to the number of males who work on part time basis is 3 to 2.If the ratio of the number of females who work on full time basis to the number of males who work on full time basis is 3:1, what is the ratio of number of females who work on part time basis to the number of females who work on full time basis ?


Say,
    Number of part-time male = m
    Number of full-time male = M
    Number of part-time female = f
    Number of full-time female = F

Hence,
    m:M = 4:5 => m = (4M/5) => M = (5m/4)
    f:m = 3:2 => f = (3m/2)
    F:M = 3:1 => F = 3M = (15m/4)

Therefore, \(\frac{f}{F} = (\frac{3m}{2})/(\frac{15m}{4}) = \frac{3}{2}*\frac{4}{15} = \frac{2}{5}\)
_________________

Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)
+91-99201 32411 (India)
http://www.facebook.com/Gurome

Manager
Manager
avatar
Joined: 24 May 2013
Posts: 79
GMAT ToolKit User
Re: A manufacturing company employs staff.work full or part time  [#permalink]

Show Tags

New post 20 Mar 2016, 06:39
A manufacturing company employs staff who work either on full time basis or on part time basis. The ratio of number of males who work on part time basis to the number of males who work on full time basis is 4 to 5.And the ratio of number of females who work on part time basis to the number of males who work on part time basis is 3 to 2.If the ratio of the number of females who work on full time basis to the number of males who work on full time basis is 3:1, what is the ratio of number of females who work on part time basis to the number of females who work on full time basis ?

Mp =Male part time, Fp= female part time, Mf= male full time, Ff= female full time
Given,
Mp/Mf=4/5---------------(1)
Fp/Mp=3/2-----------------(2)
Ff/Mf=3/1-----------------(3)
Fp/Ff=? = (2)*(1)/(3) = 2:5
Intern
Intern
avatar
B
Joined: 09 Mar 2018
Posts: 24
Re: A manufacturing company employs staff.work full or part time  [#permalink]

Show Tags

New post 26 Sep 2018, 04:34
We can even solve this question using the 2 variable Table approach.

Where
pt is Part Time job
ft is Part Time job

Since we are given ratios we can take apt values to give us those values.

1) ratio of number of males who work on part time basis to the number of males who work on full time basis is 4 to 5
M pt : M ft = 40:50

2) ratio of number of females who work on part time basis to the number of males who work on part time basis is 3 to 2
F pt : M pt = 60:40

3) ratio of the number of females who work on full time basis to the number of males who work on full time basis is 3:1,
F ft : M ft = 150:50


To Find the ratio of number of females who work on part time basis to the number of females who work on full time basis

F pt : F ft = 60 : 150
F pt : F ft = 2: 5


Table Representation for the same

M F Total
PT 40 60 100
FT 50 150 200
Total 90 120 300

Answer : 2: 5
_________________

I think its time for me to start learning from my mistakes, Even you should do it :)

Be a good critique, If you don't like my approach.

GMAT Club Bot
Re: A manufacturing company employs staff.work full or part time &nbs [#permalink] 26 Sep 2018, 04:34
Display posts from previous: Sort by

A manufacturing company employs staff.work full or part time

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


cron
Copyright

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

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

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®.