It is currently 16 Dec 2017, 18:37

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

Events & Promotions in June
Open Detailed Calendar

In a certain large company, the ratio of college graduates with a grad

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42631

Kudos [?]: 135874 [0], given: 12715

In a certain large company, the ratio of college graduates with a grad [#permalink]

Show Tags

New post 27 Sep 2015, 11:17
Expert's post
4
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

56% (01:48) correct 44% (01:47) wrong based on 124 sessions

HideShow timer Statistics

In a certain large company, the ratio of college graduates with a graduate degree to non-college graduates is 1:8, and ratio of college graduates without a graduate degree to non-college graduates is 2:3. If one picks a random college graduate at this large company, what is the probability this college graduate has a graduate degree?

A) 1/11
B) 1/12
C) 1/13
D) 3/19
E) 3/43

Kudos for a correct solution.
[Reveal] Spoiler: OA

_________________

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

Kudos [?]: 135874 [0], given: 12715

Expert Post
1 KUDOS received
SVP
SVP
User avatar
G
Joined: 11 Sep 2015
Posts: 1913

Kudos [?]: 2764 [1], given: 364

Location: Canada
Re: In a certain large company, the ratio of college graduates with a grad [#permalink]

Show Tags

New post 27 Sep 2015, 12:19
1
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
Bunuel wrote:
In a certain large company, the ratio of college graduates with a graduate degree to non-college graduates is 1:8, and ratio of college graduates without a graduate degree to non-college graduates is 2:3. If one picks a random college graduate at this large company, what is the probability this college graduate has a graduate degree?

A) 1/11
B) 1/12
C) 1/13
D) 3/19
E) 3/43

Kudos for a correct solution.


It took me a while to see there are, indeed, 3 types of worker.
Let A = # of college graduates with a graduate degree
Let B = # of non-college graduates
Let C = # of college graduates without a graduate degree

Given: A : B = 1 : 8
Given: C : B = 2 : 3

Since both ratios share B, we need to create equivalent fractions that have the same value for B.
A : B = 1 : 8 = 3 : 24
C : B = 2 : 3 = 16 : 24

So, A : B : C = 3 : 24 : 16
3 + 24 + 16 = 43

So, for every 43 workers, there are:
- 3 college graduates with a graduate degree
- 24 non-college graduates
- 16 of college graduates without a graduate degree

If one picks a random college graduate at this large company, what is the probability this college graduate has a graduate degree?
We are picking a college graduate.
From the above info, we ignore the number of non-college graduates.
So, for every 19 college graduates, 3 have a graduate degree and 16 do not.

P(this college graduate has a graduate degree) = 3/19

Answer: D

Cheers,
Brent
_________________

Brent Hanneson – Founder of gmatprepnow.com

Image

Kudos [?]: 2764 [1], given: 364

Manager
Manager
avatar
Joined: 29 Jul 2015
Posts: 159

Kudos [?]: 199 [0], given: 59

GMAT ToolKit User
In a certain large company, the ratio of college graduates with a grad [#permalink]

Show Tags

New post 27 Sep 2015, 12:51
Bunuel wrote:
In a certain large company, the ratio of college graduates with a graduate degree to non-college graduates is 1:8, and ratio of college graduates without a graduate degree to non-college graduates is 2:3. If one picks a random college graduate at this large company, what is the probability this college graduate has a graduate degree?

A) 1/11
B) 1/12
C) 1/13
D) 3/19
E) 3/43

Kudos for a correct solution.


Let A be the number of college graduates with degree, B be the number of college graduates without a degree and C be the number of non-college graduates.
It is given that A:C is 1:8 or 3:24 and B:C is 2:3 or 16:24.
Then by scaling, we have A:B:C =3:16:24
Total number of college graduates is A+B = 3+16=19
Probability of choosing a college graduate with degree will be
\(\frac{A}{A+B}=\frac{3}{19}\)

Answer:- D

Kudos [?]: 199 [0], given: 59

Intern
Intern
avatar
Joined: 19 Dec 2014
Posts: 35

Kudos [?]: 33 [0], given: 25

GMAT ToolKit User
Re: In a certain large company, the ratio of college graduates with a grad [#permalink]

Show Tags

New post 28 Sep 2015, 11:19
Answer D
Attachments

Largecompany-Grad.jpg
Largecompany-Grad.jpg [ 786.15 KiB | Viewed 1348 times ]

Kudos [?]: 33 [0], given: 25

Manager
Manager
avatar
Joined: 22 Aug 2012
Posts: 73

Kudos [?]: 11 [0], given: 35

Concentration: Technology
GMAT 1: 710 Q47 V40
Re: In a certain large company, the ratio of college graduates with a grad [#permalink]

Show Tags

New post 30 Sep 2015, 07:06
In believe the answer is D. Please see below for explanation.

0) we are told the following ratios

CGD - College Graduate with Degree
NCG - Non College Graduate
CGN - College Graduate no Degree

CGD NCG CGN
1 8
3 2

In order to make CGD and CGN comparable we need to find the least common multiple of 8 and 3 and that is 24 multiplying the first ratio by 3 and the second ratio by 8 we get

CGD NCG CGN
3 24 16

If one picks a random college graduate at this large company, what is the probability this college graduate has a graduate degree?

Nr of CGD = 3
Nr of CG = 3+ 16 = 19

Probability of CGD / (CG) -> 3/19

Answer D

Kudos [?]: 11 [0], given: 35

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 14813

Kudos [?]: 288 [0], given: 0

Premium Member
Re: In a certain large company, the ratio of college graduates with a grad [#permalink]

Show Tags

New post 17 Oct 2017, 10:03
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 288 [0], given: 0

Re: In a certain large company, the ratio of college graduates with a grad   [#permalink] 17 Oct 2017, 10:03
Display posts from previous: Sort by

In a certain large company, the ratio of college graduates with a grad

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


GMAT Club MBA Forum Home| About| Terms and Conditions| 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®.