Last visit was: 27 Dec 2024, 04:55 It is currently 27 Dec 2024, 04:55
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

GRE Prep 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 GRE 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
PREVIOUS TOPIC
NEXT TOPIC

In a group of 200 workers, 10% of the males smoke, and 49% o

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30515
Own Kudos [?]: 36881 [59]
Given Kudos: 26112
Send PM
In a group of 200 workers, 10% of the males smoke, and 49% o [#permalink] New post   14 Mar 2019, 09:37
9
Expert Reply
50
Bookmarks
00:00

Question Stats:

32% (01:32) correct 67% (01:17) wrong based on 437 sessions

Hide Show timer Statistics

In a group of 200 workers, 10% of the males smoke, and 49% of the females smoke.

Quantity A
Quantity B
Total number of workers who smoke
59


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
ShowHide Answer
Official Answer
C
Most Helpful Community Reply
User avatar
P
GreenlightTestPrep
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12238 [35]
Given Kudos: 136
Send PM

Top Member of the Month
Re: In a group of 200 workers, 10% of the males smoke, and 49% o [#permalink] New post   02 May 2019, 06:14
23
1
11
Bookmarks
Carcass wrote:
In a group of 200 workers, 10% of the males smoke, and 49% of the females smoke.

Quantity A
Quantity B
Total number of workers who smoke
59


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.


This trick here is to recognize that this is a real world question, and that the number of smokers must be an INTEGER.
For example, we can't have 17.4 female smokers.

GIVEN: 49% of the females smoke
If F = the total number of female workers, then the number of female SMOKERS = 49% of F = (49/100)F
This tells us that F must be a multiple of 100, otherwise, the number of female SMOKERS will not be an INTEGER
For example, 49% of 100 = 49, 49% of 200 = 98, 49% of 300 = 147, etc
Conversely, 49% of 50 = 24.5, 49% of 75 = 36.75, 49% of 60 = 29.4. etc

Since there are 200 workers in TOTAL, the number of females must be either 100 or 200
However, since we're told that 10% of the males smoke, we know that there must be at least 10 male workers.
So, there can't be 200 female workers, which means there must be 100 female workers.

We now know that there are 100 female workers and 100 male workers.
49% of 100 = 49, so there are 49 female SMOKERS
10% of 100 = 10, so there are 10 male SMOKERS
TOTAL number of SMOKERS = 49 + 10 = 59

Answer: C

Cheers,
Brent
General Discussion
avatar
Darpan100
Intern
Intern
Joined: 09 Jan 2019
Posts: 6
Own Kudos [?]: 5 [4]
Given Kudos: 0
Send PM
Re: In a group of 200 workers, 10% of the males smoke, and 49% o [#permalink] New post   14 Mar 2019, 22:35
4
I think answer should be D, because we don't know how many men or women are there? Please explain it.
avatar
Fatemeh
Manager
Manager
Joined: 22 Feb 2018
Posts: 163
Own Kudos [?]: 215 [8]
Given Kudos: 0
Send PM
Re: In a group of 200 workers, 10% of the males smoke, and 49% o [#permalink] New post   15 Mar 2019, 12:07
8
Answer: C

Total number of workers = 200 = Men + Women
Smoking = 0.1 * Men + 0.49* Women

Since 0.49*Women must be an integer, then the lowest value for Women is 100, the other values can be 200.
So we have either 100 Women and 100 Men then Smoking = 0.1*100+0.49*100=59 OR
200 Women and 0 Men, that is impossible because it is said that 10percent of Men smoke.
The answer is C.
avatar
humanworth
Intern
Intern
Joined: 08 Apr 2019
Posts: 1
Own Kudos [?]: 1 [1]
Given Kudos: 0
Send PM
Re: In a group of 200 workers, 10% of the males smoke, and 49% o [#permalink] New post   08 Apr 2019, 01:31
1
I think because the distribution of men and women is not given, we can obtain different values for the number of smokers. Therefore, the answer must be D
avatar
sid13791
Intern
Intern
Joined: 07 Apr 2019
Posts: 4
Own Kudos [?]: 9 [4]
Given Kudos: 0
Send PM
Re: In a group of 200 workers, 10% of the males smoke, and 49% o [#permalink] New post   08 Apr 2019, 02:27
4
Since there are 49% of the women who smoke and the no of women will be integer therefore the no of women will be multiple of 100.
Minimum Value of no of women will be 100 , In this case no of Men will be 100 .
Therefore the 49% of 100 + 10% of 100= 59, which makes quantity A and quantity B equal .
-----------------------------------------------------------------------------------------------------------------------------------------
Next value of no of women will be 200 which makes No of men=0, which is impossible as it is given that 10% of men Smoke

So the Answer is C
avatar
Sheersendu
Intern
Intern
Joined: 28 Apr 2019
Posts: 24
Own Kudos [?]: 11 [2]
Given Kudos: 0
Send PM
Re: In a group of 200 workers, 10% of the males smoke, and 49% o [#permalink] New post   02 May 2019, 02:20
2
Yes we dont know whether there are equal no of men or women or not. So the ans should be D.
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30515
Own Kudos [?]: 36881 [1]
Given Kudos: 26112
Send PM
Re: In a group of 200 workers, 10% of the males smoke, and 49% o [#permalink] New post   02 May 2019, 06:03
1
Expert Reply
Sorry.

The answer is C.

Ask for a further explanation if those above are not clear :)

We are here to help you.

Best regards
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30515
Own Kudos [?]: 36881 [0]
Given Kudos: 26112
Send PM
Re: In a group of 200 workers, 10% of the males smoke, and 49% o [#permalink] New post   02 May 2019, 08:02
Expert Reply
Thank you, Sir, for the intervention

Regards
avatar
chacinluis
Manager
Manager
Joined: 22 Jan 2020
Posts: 120
Own Kudos [?]: 241 [4]
Given Kudos: 10
Send PM
Re: In a group of 200 workers, 10% of the males smoke, and 49% o [#permalink] New post   18 Dec 2021, 06:35
3
1
Bookmarks
For (1/10)M+(49/100)F to be an integer then M must be divisible by 10 and F must be divisible by 100.

Since M+F=200
Then F has to be 100 — it can't be 0 nor 200.
By default M then has to be 100 as well.

so total smokers is 10+49=59

Final Answer: C
Attachments

maleFemaleCmokers.png
maleFemaleCmokers.png [ 12.8 KiB | Viewed 14374 times ]

avatar
Mandar3011
Intern
Intern
Joined: 29 Oct 2021
Posts: 10
Own Kudos [?]: 2 [2]
Given Kudos: 16
Send PM
Re: In a group of 200 workers, 10% of the males smoke, and 49% o [#permalink] New post   22 Dec 2021, 20:28
2
D must be the ans as we don't know how many males and females are there

Posted from my mobile device
avatar
B
SivhHarish
Manager
Manager
Joined: 01 Apr 2022
Posts: 65
Own Kudos [?]: 15 [0]
Given Kudos: 79
Send PM
Re: In a group of 200 workers, 10% of the males smoke, and 49% o [#permalink] New post   21 Jul 2022, 23:27
GreenlightTestPrep wrote:
Carcass wrote:
In a group of 200 workers, 10% of the males smoke, and 49% of the females smoke.

Quantity A
Quantity B
Total number of workers who smoke
59


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.


This trick here is to recognize that this is a real world question, and that the number of smokers must be an INTEGER.
For example, we can't have 17.4 female smokers.

GIVEN: 49% of the females smoke
If F = the total number of female workers, then the number of female SMOKERS = 49% of F = (49/100)F
This tells us that F must be a multiple of 100, otherwise, the number of female SMOKERS will not be an INTEGER
For example, 49% of 100 = 49, 49% of 200 = 98, 49% of 300 = 147, etc
Conversely, 49% of 50 = 24.5, 49% of 75 = 36.75, 49% of 60 = 29.4. etc

Since there are 200 workers in TOTAL, the number of females must be either 100 or 200
However, since we're told that 10% of the males smoke, we know that there must be at least 10 male workers.
So, there can't be 200 female workers, which means there must be 100 female workers.

We now know that there are 100 female workers and 100 male workers.
49% of 100 = 49, so there are 49 female SMOKERS
10% of 100 = 10, so there are 10 male SMOKERS
TOTAL number of SMOKERS = 49 + 10 = 59

Answer: C

Cheers,
Brent


Sir, I don't understand how we got the total number of females = 100.
avatar
AdityaSairam
Intern
Intern
Joined: 29 Mar 2023
Posts: 2
Own Kudos [?]: 0 [0]
Given Kudos: 5
Send PM
Re: In a group of 200 workers, 10% of the males smoke, and 49% o [#permalink] New post   03 May 2023, 06:33
The answer should be D I guess.. As mentioned by many in the comment section, we do not know the distribution of males and females. the 200 workers can be with the following distribution :
200 females + 0 males (since the question has not mentioned that there is atleast one male in the group), which will give an answer of (0.49*200)+(0.10*0) = 98.
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30515
Own Kudos [?]: 36881 [0]
Given Kudos: 26112
Send PM
Re: In a group of 200 workers, 10% of the males smoke, and 49% o [#permalink] New post   03 May 2023, 08:07
Expert Reply
Most of the answers by expert such as Brent explanation, and the OA point out to C

Posted from my mobile device
User avatar
bumpbot
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 5092
Own Kudos [?]: 76 [0]
Given Kudos: 0
Send PM
Re: In a group of 200 workers, 10% of the males smoke, and 49% o [#permalink] New post   21 Aug 2024, 23:48
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep 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.
Prep Club for GRE Bot
gmatclubot
Re: In a group of 200 workers, 10% of the males smoke, and 49% o [#permalink]
21 Aug 2024, 23:48
Moderators:
adewale223
GRE Instructor
88 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1115 posts
VibhuAnurag
GRE Instructor
234 posts

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

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact