Question

There are five men - A, B, C, D and E, six women - P, Q, R, S, T and Z, A, B, and R are advocates. S, Q, P, D and C are doctors and the rest are teachers. A team has to be selected from these eleven persons subject to the following conditions: \[\begin{array}{rl} \bullet & \text{[(I)] A, P and Z have to be together.} \\ \bullet & \text{[(II)] B cannot go with D or R.} \\ \bullet & \text{[(III)] E and Q have to be together.} \\ \bullet & \text{[(IV)] C and T have to be together.} \\ \bullet & \text{[(V)] D and P cannot go together.} \\ \bullet & \text{[(VI)] C cannot go with Q.} \\ \end{array}\] If the team formed consists of two male advocates, two lady doctors and one teacher, the members of the team can be:

• A. A, B, P, Z, S
• B. A, B, P, Q, Z
• C. B, E, Q, R, S
• D. A, P, R, S, Z

Hint:

In problems involving team selection with conditions, follow the constraints step-by-step to eliminate impossible combinations.

Answer 1

The Correct Option is A

Step 1: Analyze the conditions.
- (I) A, P, and Z must be together. - (II) B cannot go with D or R, so B must go with others. - (III) E and Q must be together. - (IV) C and T must be together. - (V) D and P cannot go together, so P cannot go with D. - (VI) C cannot go with Q, meaning C and Q are not allowed together. Considering these conditions, the team with members A, B, P, Z, and S satisfies all the given conditions.

Final Answer: \[ \boxed{A, B, P, Z, S} \]