NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 02:49 It is currently 25 Apr 2024, 02:49
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

The ratio of men to women in a group is 2:3. 36% of the people in the

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
kiran120680
Moderator - Masters Forum
Joined: 18 Feb 2019
Posts: 718
Own Kudos [?]: 2147 [8]
Given Kudos: 276
Location: India
Schools: AGSM '20 EDHEC Sept 2019 Intake Great Lakes '21 IE
GMAT 1: 460 Q42 V13
GPA: 3.6
Send PM
The ratio of men to women in a group is 2:3. 36% of the people in the [#permalink] New post   24 Jun 2019, 09:17
1
Kudos
7
Bookmarks
00:00
A
B
C
D
E

Difficulty:

35% (medium)

Question Stats:

75% (02:40) correct 25% (02:52) wrong based on 123 sessions
Hide Show timer Statistics
The ratio of men to women in a group is 2:3. 36% of the people in the group do not have a college degree while 60% of the women in the group have a college degree. If 1 person is to be randomly selected from the group, what is the probability that he is a man with a college degree?


A. 0.12
B. 0.18
C. 0.24
D. 0.28
E. 0.50
ShowHide Answer
Official Answer
D
User avatar
P
prabsahi
Manager
Manager
Joined: 09 Jun 2014
Posts: 229
Own Kudos [?]: 280 [1]
Given Kudos: 205
Location: India
Concentration: General Management, Operations
Send PM
Reviews Badge
The ratio of men to women in a group is 2:3. 36% of the people in the [#permalink] New post   Updated on: 24 Jun 2019, 10:41
1
Kudos
kiran120680 wrote:
The ratio of men to women in a group is 2:3. 36% of the people in the group do not have a college degree while 60% of the women in the group have a college degree. If 1 person is to be randomly selected from the group, what is the probability that he is a man with a college degree?


A. 0.12
B. 0.18
C. 0.24
D. 0.28
E. 0.50


Let x be the men who have college degree and this i what we need to find.

Give m:w = 2:3
This implies men = 2/5 = 40% and women = 60%
If total people are 100 then men =40 and women = 60

Now let
CD Collge degree
CD' No college degree

Now please refer the table below for matrix method.

Number of women with college degree = 60% of women = 60*.60= 36

Therfore x + 36= 64
x= 28
Probab =28/100 = .28
Attachments

File comment: Please refer the table
snap2.JPG
snap2.JPG [ 16.26 KiB | Viewed 3360 times ]


Originally posted by prabsahi on 24 Jun 2019, 10:23.
Last edited by prabsahi on 24 Jun 2019, 10:41, edited 1 time in total.
User avatar
L
nick1816
Retired Moderator
Joined: 19 Oct 2018
Posts: 1878
Own Kudos [?]: 6296 [1]
Given Kudos: 704
Location: India
Send PM
Re: The ratio of men to women in a group is 2:3. 36% of the people in the [#permalink] New post   24 Jun 2019, 10:27
1
Kudos
Let total people in the group= 100
Men=40 and women=60
People with CD=64 and People without CD=36
Women with CD= 0.6*60=36
Man with a CD= 64-36=28

probability to select a man with a college degree=28/100=0.28


kiran120680 wrote:
The ratio of men to women in a group is 2:3. 36% of the people in the group do not have a college degree while 60% of the women in the group have a college degree. If 1 person is to be randomly selected from the group, what is the probability that he is a man with a college degree?


A. 0.12
B. 0.18
C. 0.24
D. 0.28
E. 0.50
User avatar
L
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 18756
Own Kudos [?]: 22050 [0]
Given Kudos: 283
Location: United States (CA)
Send PM
Re: The ratio of men to women in a group is 2:3. 36% of the people in the [#permalink] New post   27 Jun 2019, 18:29
Expert Reply
kiran120680 wrote:
The ratio of men to women in a group is 2:3. 36% of the people in the group do not have a college degree while 60% of the women in the group have a college degree. If 1 person is to be randomly selected from the group, what is the probability that he is a man with a college degree?


A. 0.12
B. 0.18
C. 0.24
D. 0.28
E. 0.50


If there are 300 people in a group, then 60 x 3 =180 are women, and 180 x 0.6 = 108 women have a college degree.

Since 0.64 x 300 = 192 people have a college degree, 192 - 108 = 84 men have a college degree, so the probability of selecting a man with a college degree is 84/300 = 0.28.

Answer: D
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32665
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: The ratio of men to women in a group is 2:3. 36% of the people in the [#permalink] New post   28 Nov 2020, 14:30
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 Club Bot
gmatclubot
Re: The ratio of men to women in a group is 2:3. 36% of the people in the [#permalink]
28 Nov 2020, 14:30
Moderators:
Bunuel
Math Expert
92912 posts
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