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, three doctors and one male teacher, the members of the team are:
- AA, D, P, S, U
- BC, D, R, S, T
- CD, E, Q, R, S
- DD, E, Q, R, T
Solution & Step-by-step Explanation
Let's find the correct team combination based on the conditions:
1. The team must include one male teacher. The only male teacher available is E.
2. Since E is selected, Q must be selected (Condition 3: E and Q together). Q is a doctor.
3. Since Q is selected, C cannot be selected (Condition 6: C cannot go with Q).
4. Since C is not selected, T cannot be selected either (Condition 4: C and T together).
5. We need three doctors. Q is one doctor. The remaining available doctors are D, P, and S (since C is excluded).
6. Since D and P cannot go together (Condition 5), we must choose Q, S, and either D or P.
7. If we choose P, then A and U must also join (Condition 1), which would exceed the size and role limits of the team. Therefore, P is excluded, and D and S are selected.
8. Since D is selected, B cannot be selected (Condition 2: B cannot go with D).
9. Since A requires P and U to be present, and P is excluded, A cannot be selected. Thus, the advocate must be R.
Combining all selected members: D, E, Q, R, S. This corresponds to Option C.
1. The team must include one male teacher. The only male teacher available is E.
2. Since E is selected, Q must be selected (Condition 3: E and Q together). Q is a doctor.
3. Since Q is selected, C cannot be selected (Condition 6: C cannot go with Q).
4. Since C is not selected, T cannot be selected either (Condition 4: C and T together).
5. We need three doctors. Q is one doctor. The remaining available doctors are D, P, and S (since C is excluded).
6. Since D and P cannot go together (Condition 5), we must choose Q, S, and either D or P.
7. If we choose P, then A and U must also join (Condition 1), which would exceed the size and role limits of the team. Therefore, P is excluded, and D and S are selected.
8. Since D is selected, B cannot be selected (Condition 2: B cannot go with D).
9. Since A requires P and U to be present, and P is excluded, A cannot be selected. Thus, the advocate must be R.
Combining all selected members: D, E, Q, R, S. This corresponds to Option C.