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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
In a group of 200 workers, 10% of the males smoke, and 49% o
[#permalink]
14 Mar 2019, 09:37
14 Mar 2019, 09:37
9
Expert Reply
54
Bookmarks
00:00
Question Stats:
32% (01:33) correct
67% (01:19) wrong based on 479 sessions
Hide Show timer Statistics
In a group of 200 workers, 10% of the males smoke, and 49% of the females smoke.
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.
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.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: In a group of 200 workers, 10% of the males smoke, and 49% o
[#permalink]
02 May 2019, 06:14
02 May 2019, 06:14
24
1
12
Bookmarks
Carcass wrote:
In a group of 200 workers, 10% of the males smoke, and 49% of the females smoke.
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.
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
Re: In a group of 200 workers, 10% of the males smoke, and 49% o
[#permalink]
14 Mar 2019, 22:35
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.
