Direction: Read the following information carefully and answer the question given below it.
There are five men and six women .
* are advocates.
* are doctors.
* The rest () are teachers.
A team is to be selected subject to the following conditions:
1. , , and must be together.
2. cannot go with or .
3. and must be together.
4. and must be together.
5. and cannot go together.
6. cannot go with .
Question: If the team must consist of two male advocates, two lady doctors, and one teacher, who are the members of the team?
- AA, B, P, Q, U
- BA, B, P, U, S
- CA, P, R, S, U
- DB, E, Q, R, S
Solution & Step-by-step Explanation
Let's evaluate the required conditions for the team composition:
* Requirement: 2 Male Advocates, 2 Lady Doctors, 1 Teacher.
* Available male advocates: and (since is a woman among the advocates group). Thus, the two male advocates must be and .
Let's check the rules with and included:
1. Since is selected, rule 1 states that and must also be selected.
* is a lady doctor.
* is a teacher.
2. This fulfills our requirement of 1 teacher () and 1 lady doctor ().
3. We need exactly one more lady doctor to complete the team of 5.
4. Let's examine the remaining lady doctors available ( since are men).
* Rule 5 states and cannot go together (satisfied, is not selected).
* Rule 2 states cannot go with or (satisfied).
* Rule 3 states and must be together. Since we already have our 1 teacher (), we cannot select (who is a teacher). Since cannot be selected, cannot be selected either.
This leaves * ** as the second lady doctor.
Let's group the selected members: .
* Requirement: 2 Male Advocates, 2 Lady Doctors, 1 Teacher.
* Available male advocates: and (since is a woman among the advocates group). Thus, the two male advocates must be and .
Let's check the rules with and included:
1. Since is selected, rule 1 states that and must also be selected.
* is a lady doctor.
* is a teacher.
2. This fulfills our requirement of 1 teacher () and 1 lady doctor ().
3. We need exactly one more lady doctor to complete the team of 5.
4. Let's examine the remaining lady doctors available ( since are men).
* Rule 5 states and cannot go together (satisfied, is not selected).
* Rule 2 states cannot go with or (satisfied).
* Rule 3 states and must be together. Since we already have our 1 teacher (), we cannot select (who is a teacher). Since cannot be selected, cannot be selected either.
This leaves * ** as the second lady doctor.
Let's group the selected members: .