Direction: Read the following information carefully and answer the question given below it:
There are five men A, B, C, D and E and six women P, Q, R, S, T and U. A, B and R are advocates; C, D, P, Q and S are doctors and the rest are teachers. Some teams are to be selected from amongst these eleven persons subject to the following conditions:
1. A, P and U have to be together
2. B cannot go with D or R
3. E and Q have to be together
4. C and T have to be together
5. D and P cannot go together
6. C cannot go with Q
If the team is to consist of two advocates, two doctors, two teachers and not more than three ladies, the members of the team are:
- AA, B, C, P, T, U
- BA, C, P, R, T, U
- CA, E, P, Q, R, T
- DB, C, E, Q, R, T
Solution & Step-by-step Explanation
Let's test the given options to see which satisfies all criteria:
Let's verify Option A (A, B, C, P, T, U):
* Role Distribution:
* Advocates: A, B (2)
* Doctors: C, P (2)
* Teachers: T, U (2)
* Total counts match the required configuration.
* Gender Constraint:
* Men: A, B, C (3)
* Ladies: P, T, U (3)
* This satisfies the condition "not more than three ladies".
* Condition Verification:
* A, P, U are together: Yes.
* B is not with D or R: Yes (neither is present).
* C and T are together: Yes.
* D and P are not together: Yes (D is absent).
* C is not with Q: Yes (Q is absent).
Thus, Option A satisfies all explicit rules.
Let's verify Option A (A, B, C, P, T, U):
* Role Distribution:
* Advocates: A, B (2)
* Doctors: C, P (2)
* Teachers: T, U (2)
* Total counts match the required configuration.
* Gender Constraint:
* Men: A, B, C (3)
* Ladies: P, T, U (3)
* This satisfies the condition "not more than three ladies".
* Condition Verification:
* A, P, U are together: Yes.
* B is not with D or R: Yes (neither is present).
* C and T are together: Yes.
* D and P are not together: Yes (D is absent).
* C is not with Q: Yes (Q is absent).
Thus, Option A satisfies all explicit rules.