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 one male advocate, one male doctor, one lady doctor and two teachers, the members of the team are:
- AA, C, P, T, U
- BA, D, E, P, T
- CA, D, E, P, U
- DB, C, E, Q, U
Solution & Step-by-step Explanation
Let's first segregate the individuals by gender and profession:
* Men (5): A, B, C, D, E
* Women (6): P, Q, R, S, T, U
Categorization by profession and gender:
* Male Advocates: A, B
* Lady Advocates: R
* Male Doctors: C, D
* Lady Doctors: P, Q, S
* Male Teachers: E
* Lady Teachers: T, U
Let's evaluate Option A (A, C, P, T, U):
* Composition Check:
* One male advocate: A
* One male doctor: C
* One lady doctor: P
* Two teachers: T, U
* This matches the required composition perfectly.
* Conditions Check:
* Condition 1: A, P, and U are together. (Satisfied)
* Condition 4: C and T are together. (Satisfied)
* Condition 5: D is not present, so no conflict with P. (Satisfied)
* Condition 6: Q is not present, so no conflict with C. (Satisfied)
Hence, Option A fulfills all constraints.
* Men (5): A, B, C, D, E
* Women (6): P, Q, R, S, T, U
Categorization by profession and gender:
* Male Advocates: A, B
* Lady Advocates: R
* Male Doctors: C, D
* Lady Doctors: P, Q, S
* Male Teachers: E
* Lady Teachers: T, U
Let's evaluate Option A (A, C, P, T, U):
* Composition Check:
* One male advocate: A
* One male doctor: C
* One lady doctor: P
* Two teachers: T, U
* This matches the required composition perfectly.
* Conditions Check:
* Condition 1: A, P, and U are together. (Satisfied)
* Condition 4: C and T are together. (Satisfied)
* Condition 5: D is not present, so no conflict with P. (Satisfied)
* Condition 6: Q is not present, so no conflict with C. (Satisfied)
Hence, Option A fulfills all constraints.