Question

A, B, C, D who are married to P, Q, R, S are sitting opposite to each other. No one is sitting in front of his or her spouse. Who is sitting opposite to B?
Statement 1: A and C are married to Q and S respectively and R is sitting opposite to the only person between B and D
Statement 2: C, B and P are sitting in corners. Q is sitting opposite to the only person between C and A

• A. statement (1) alone is sufficient to answer the question
• B. statement (2) alone is sufficient to answer the question
• C. both the statements together are needed to answer the question
• D. statement (1) alone or statement (2) alone is sufficient to answer the question
• E. neither statement (1) nor statement (2) suffices to answer the question

Answer 1

The Correct Option is C

To solve the problem of determining who is sitting opposite to B, we need to use both statements together as they provide complementary information. 

1. Let's consider the information provided:
   • People: A, B, C, D
   • Spouses: P, Q, R, S
2. Statement 1 Analysis:
   • A and C are married to Q and S respectively. This tells us:
     • A is married to Q
     • C is married to S
   • R is sitting opposite to the only person between B and D.
3. Statement 2 Analysis:
   • C, B, and P are sitting in corners. This is important since it narrows down who can sit where.
   • Q is sitting opposite to the only person between C and A.
4. Combining Statements:
   • Knowing A is married to Q and C is married to S, and neither can sit in front of their spouse, gives us placement constraints.
   • Let's place C and A adjacent to each other, with C's spouse S also adjacent to C. If C is at a corner, A must be the next seat since no one can sit opposite to their spouse.
   • Thus, on one side, C and A are sitting at the corner, and Q is opposite to the person between C and A.
   • If B and P are also sitting in corner positions, D must be between B and R. Therefore, B is opposite to the person who can only be Q, based on all other positions being allocated without conflict.
5. Thus, after analyzing both statements in conjunction, we ascertain that B is sitting opposite to Q. Both statements together are essential to reach this conclusion.

The correct answer is: both the statements together are needed to answer the question.