NEW HERE? LEARN MORE
closeclose
It is currently 17 Apr 2024, 18:33
Register
GMAT Focus Tests
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

It is determined that 25 of every 100 men and 600 of every 1,000 women

5 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Question banks

GMAT Question Banks

Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
User avatar
S
karan12345
Manager
Manager
Joined: 01 Jun 2019
Posts: 66
It is determined that 25 of every 100 men and 600 of every 1,000 women [#permalink] New post  27 May 2020, 07:06
5
Bookmarks
00:00
A
B
C
D
E

Difficulty:

35% (medium)

Question Stats:

69% (02:06) correct 31% (02:25) wrong based on 70 sessions
Hide Show timer Statistics
It is determined that 25 of every 100 men and 600 of every 1,000 women wear glasses. If the number of women in a particular room is four times more than that of men, calculate the probability of a person without glasses being randomly selected.

(A) 0.47
(B) 0.45
(C) 0.49
(D) 0.48
(E) 0.43
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.
User avatar
L
GMATinsight
GMAT Club Legend
GMAT Club Legend
Joined: 08 Jul 2010
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Posts: 5951
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Reviews Badge CAT Tests Forum Quiz Mode
It is determined that 25 of every 100 men and 600 of every 1,000 women [#permalink] New post  Updated on: 27 May 2020, 21:47
2
Kudos
Expert Reply
karan12345 wrote:
It is determined that 25 of every 100 men and 600 of every 1,000 women wear glasses. If the number of women in a particular room is four times more than that of men, calculate the probability of a person without glasses being randomly selected.

(A) 0.47
(B) 0.45
(C) 0.49
(D) 0.48
(E) 0.43


Glass wearing Men = 25%
Glass wearing Women = 60%

Let, Men = 100 i.e. Women = 4*100 = 400

Men with glasses = 25% of 100 = 25 and
Women with glasses = 60% of 400 = 240

Total Members = 100+400 = 500
Total Members with glasses = 25+240 = 265
Total Members without glasses = 500-265 = 235

Required Probability = Without glasses people / Total people = 235/500 = 0.47

Answer: Option A

Originally posted by GMATinsight on 27 May 2020, 09:59.
Last edited by GMATinsight on 27 May 2020, 21:47, edited 1 time in total.
User avatar
L
yashikaaggarwal
Senior Moderator - Masters Forum
Joined: 19 Jan 2020
Posts: 3137
Location: India
Schools: Cranfield (A) Warwick MiM "23 (M)
GPA: 4
WE:Analyst (Internet and New Media)
Re: It is determined that 25 of every 100 men and 600 of every 1,000 women [#permalink] New post  27 May 2020, 10:58
25 out if 100 men wear glass.
So, 0.25 out of 1 man ----(1)
And,
600 out of 1000 women wear Glass,
So, 0.6 out of 1 woman -----(2)

In a room there is 1 man : 4 women ratio.
Total chances of them wearing Glass is (0.6*4+0.25)/(4+1)
=> (2.4+0.25)/5
=> 2.65/5 = 0.53
Probability of them no wearing Glass is 1-favourable = 1-0.53 = 0.47
Answer is A

Posted from my mobile device
_________________
MSc/MIM Programs Chat Room | MIM/MSc Management Programs Deadlines for fall 2023 Admission | MIM/MSc Management Programs 2024 Rankings
Signature Read More
User avatar
L
Archit3110
GMAT Club Legend
GMAT Club Legend
Joined: 18 Aug 2017
Status:You learn more from failure than from success.
Posts: 8017
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1:
545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy and Utilities)
GMAT ToolKit User CAT Tests
Re: It is determined that 25 of every 100 men and 600 of every 1,000 women [#permalink] New post  28 May 2020, 09:46
karan12345 wrote:
It is determined that 25 of every 100 men and 600 of every 1,000 women wear glasses. If the number of women in a particular room is four times more than that of men, calculate the probability of a person without glasses being randomly selected.

(A) 0.47
(B) 0.45
(C) 0.49
(D) 0.48
(E) 0.43


total men with glasses; 25/100; 1/4 ; not glasses ; 3/4
and total women with glasses; 600/1000 ; 3/5 ; not glasses 2/5
and given that w=4m
let m = 20 and w= 80
total =100
so men not glasses ; 3/4 * 20 ; 15 and women not glasses ; 2/5 * 80 ; 32
total not glasses ; 15+32 ; 47
P not glasses ; 47/100; .47
OPTION A
User avatar
L
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 18737
Location: United States (CA)
Re: It is determined that 25 of every 100 men and 600 of every 1,000 women [#permalink] New post  01 Jun 2020, 08:03
Expert Reply
karan12345 wrote:
It is determined that 25 of every 100 men and 600 of every 1,000 women wear glasses. If the number of women in a particular room is four times more than that of men, calculate the probability of a person without glasses being randomly selected.

(A) 0.47
(B) 0.45
(C) 0.49
(D) 0.48
(E) 0.43


We can let 100 = the number of men in the room. Thus, the number of women in the room is 400. Furthermore 25 men and 400 x 600/1000 = 400 x 3/5 = 240 women wear glasses. Therefore, the probability that a randomly selected person does not wear glasses is:

(100 + 400 - 25 - 240) / (100 + 400) = 235/500 = 0.47

Answer: A
_________________
See why Target Test Prep is the top rated GMAT course on GMAT Club. Read Our Reviews
Signature Read More
GMAT Club Bot
gmatclubot
Re: It is determined that 25 of every 100 men and 600 of every 1,000 women [#permalink]
01 Jun 2020, 08:03
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderators:
Bunuel
Math Expert
92741 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

cron

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