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 advocate, two doctors, three teachers and C may not go with T, the members of the team are:
- AA, E, P, Q, S, U
- BA, E, P, Q, T, U
- CB, E, Q, S, T, U
- DE, Q, R, S, T, U
Solution & Step-by-step Explanation
Let's first classify the professions and genders based on the problem statement:
* Advocates: A, B, R
* Doctors: C, D, P, Q, S
* Teachers: E, T, U (since total individuals = 11, and the rest are teachers)
Now let's evaluate Option B (A, E, P, Q, T, U):
Composition Check: Advocate: A (1)
* Doctors: P, Q (2)
* Teachers: E, T, U (3)
* This matches the required configuration of 1 advocate, 2 doctors, and 3 teachers.
* Conditions Check:
* Condition 1: A, P, and U are together. (Satisfied)
* Condition 2: B is not present, so no conflict with D or R. (Satisfied)
* Condition 3: E and Q are together. (Satisfied)
* Condition 4: C is not present, so T can be included without C. (Satisfied)
* Condition 5: D is not present, so no conflict with P. (Satisfied)
* Condition 6: C is not present, so no conflict with Q. (Satisfied)
Hence, Option B is the correct combination.
* Advocates: A, B, R
* Doctors: C, D, P, Q, S
* Teachers: E, T, U (since total individuals = 11, and the rest are teachers)
Now let's evaluate Option B (A, E, P, Q, T, U):
Composition Check: Advocate: A (1)
* Doctors: P, Q (2)
* Teachers: E, T, U (3)
* This matches the required configuration of 1 advocate, 2 doctors, and 3 teachers.
* Conditions Check:
* Condition 1: A, P, and U are together. (Satisfied)
* Condition 2: B is not present, so no conflict with D or R. (Satisfied)
* Condition 3: E and Q are together. (Satisfied)
* Condition 4: C is not present, so T can be included without C. (Satisfied)
* Condition 5: D is not present, so no conflict with P. (Satisfied)
* Condition 6: C is not present, so no conflict with Q. (Satisfied)
Hence, Option B is the correct combination.