Question

Read the information given below carefully and answer the question that follows: A team of five is to be selected from amongst five boys A, B, C, D and E and four girls P, Q, R and S. Criteria for selection are: A and S have to be together. P cannot be put with R. D and Q cannot go together. C and E have to be together. R cannot be put with B. If R has to be one of the members, the other members of the team shall be?

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

Hint:

When one member is fixed, use the constraints to eliminate others and test the remaining combinations.

Answer 1

The Correct Option is B

Step 1: R is selected. Since P cannot be with R, P cannot be selected. Since R cannot be with B, B cannot be selected. Since D and Q cannot go together, this condition may affect selection.
Step 2: We need 5 members total. R is one. Need 4 more.
Step 3: A and S have to be together. So either both A and S are selected, or neither.
Step 4: C and E have to be together. So either both C and E are selected, or neither.
Step 5: If we select A and S, that gives 2 more members. Then we need 2 more from remaining: C, E, D, Q (since P and B are out). If we select C and E, that gives 2 more, total = R + A + S + C + E = 5 members. Check D and Q condition: D and Q not in team, so condition satisfied.
Step 6: Thus the team is R, A, S, C, E.
Step 7: Final Answer: S, A, C, E (since R is already given).