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26 Apr 2021, 07:44
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
71% (02:05) correct
29%
(02:21)
wrong
based on 82
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Not Attempted Yet
Fifty percent of the members in a club are married and doctor by profession. 25% of the unmarried members are doctor. If 40% of the members are not doctor, What percent of the members are unmarried and doctors?
A)10%
B)15%
C)20%
D)12.5%
E)None of these
Posted from my mobile device
A)10%
B)15%
C)20%
D)12.5%
E)None of these
Posted from my mobile device
Hello, everyone. There are only four ways to group people in the above scenario, and we just have to keep track of each group:
1) Married Doctors
2) Married Non-doctors
3) Unmarried Doctors
4) Unmarried Non-doctors
You can create a grid to make the information easier to process. Let "D" equal "Doctor," "N" equal "Non-Doctor," "M" equal "Married," and "U" equal "Unmarried":
Fill in what you know bit by bit. You can either fill in the grid by thinking of the total group as 100 people, or you can track percentages. It does not make a difference in this problem.
Fact #1: 50 percent of members are married doctors
Fact #2: 40 percent of members are NOT doctors
---Just For Fun---
If we wanted to figure out the whole table, we could continue.
Fact #3: 25 percent of unmarried members are doctors
\(10 = 0.25U\)
\(10 = \frac{1}{4}U\)
\(40 = U\)
Believe it or not, we can fill in the rest of the table with this information, since it creates a domino effect.
In short, the answer to the question is (A), 10 percent. I hope the above analysis is helpful. Good luck with your studies.
- Andrew
1) Married Doctors
2) Married Non-doctors
3) Unmarried Doctors
4) Unmarried Non-doctors
You can create a grid to make the information easier to process. Let "D" equal "Doctor," "N" equal "Non-Doctor," "M" equal "Married," and "U" equal "Unmarried":
| M | U | Total | |
| D | |||
| N | |||
| Total |
Fill in what you know bit by bit. You can either fill in the grid by thinking of the total group as 100 people, or you can track percentages. It does not make a difference in this problem.
| M | U | Total | |
| D | |||
| N | |||
| Total | 100 |
Fact #1: 50 percent of members are married doctors
| M | U | Total | |
| D | 50 | ||
| N | |||
| Total | 100 |
Fact #2: 40 percent of members are NOT doctors
- We can deduce that 60 percent of members MUST be doctors, allowing us to fill in another number in the grid, the very answer to our question
| M | U | Total | |
| D | 50 | 10 | 60 |
| N | 40 | ||
| Total | 100 |
---Just For Fun---
If we wanted to figure out the whole table, we could continue.
Fact #3: 25 percent of unmarried members are doctors
- We can deduce that the 10 unmarried doctors from before represent 25 percent of all unmarried members
\(10 = 0.25U\)
\(10 = \frac{1}{4}U\)
\(40 = U\)
Believe it or not, we can fill in the rest of the table with this information, since it creates a domino effect.
| M | U | Total | |
| D | 50 | 10 | 60 |
| N | 10 | 30 | 40 |
| Total | 60 | 40 | 100 |
In short, the answer to the question is (A), 10 percent. I hope the above analysis is helpful. Good luck with your studies.
- Andrew
26 Apr 2021, 11:22
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AndrewN
Wow! I was thinking there must me some problem with the question! But looks like I was thinking wrong.
Thanks a ton for making the answer super clear!
Posted from my mobile device
