A team of 5 members is to be selected from 6 men A, B, C, D, E and F and 6 women P, Q, R, S, T and U, C and U have to be selected together. If B is selected, then neither U nor Q can be selected. Among A, B, S and T exactly two persons are to be selected. If E is selected, then neither S nor B can be selected. If A is selected, then B will be selected. Which of the following is the correct selection of the team?

Solution

Let's analyze the conditions given: C and U have to be selected together: This means that if one of them is selected, the other must also be selected. If B is selected, then neither U nor Q can be selected: If B is chosen, then U cannot be selected, and Q cannot be selected because U and Q cannot be separated. Among A, B, S, and T, exactly two persons are to be selected: This implies that either A and B are selected together or S and T are selected together. If E is selected, then neither S nor B can be selected: If E is chosen, then both S and B cannot be chosen. If A is selected, then B will be selected: If A is chosen, then B must also be selected. Now, let's apply these conditions to the options:

1. C, A, B, P, R

This option violates the condition that B must be selected if A is selected. It also violates the condition that C and U must be selected together.

2. P, R, S, T, D

This option doesn't violate any of the given conditions.

3. P, R, A, B, S

This option violates the condition that if A is selected, then B must also be selected.

4. C, U, A, B, S

This option violates the condition that B must be selected if A is selected. It also violates the condition that C and U must be selected together. So, the correct selection of the team is: P, R, S, T, D