Answer:
1 and 4 tell you that there are 9 or more nurses, and 6 or less doctors
2 tells you that the number of male nurses is less than 6
From 3, we learn that there must be more than 4 male nurses
Therefore, there must be exactly 5 male nurses
There can be no more than 9 nurses: 5 male and 4 female, and there must be
no less than 6 male doctors, plus one female bring the total to 16.
As for me, a male doctor contradicts #2, a male nurse contradicts #3, a female
doctor contradicts #4.
Therefore, I am female and a nurse.
Hospital Staff
The hospital staff consists of 16 doctors and nurses, including myself. The
following facts are true whether you include me or not.
- There are more nurses than doctors
- There are more male doctors than male nurses
- There are more male nurses than female nurses
- There is at least one female doctor
What is my sex and occupation?
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