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

The correct answer is option (C):

both the statements together are needed to answer the question

Let's break down this seating arrangement puzzle step by step. We have four couples (A-P, B-Q, C-R, and D-S or vice versa) sitting opposite each other. The crucial constraint is that no one sits directly across from their spouse.

Analyzing Statement 1:
* A is married to Q, and C is married to S. We now know some spouse pairings: A-Q and C-S.
* R is opposite the person between B and D. This statement tells us about the positions but doesn't fully resolve the layout. We don't yet know who B and D are married to.

Statement 1 alone doesn't give us the complete picture. We need to figure out who B is married to.

Analyzing Statement 2:
* C, B, and P are in corners. This tells us about positional information (corners), and that P is in a corner.
* Q is opposite the only person between C and A. This gives more positional information and tells us that Q is not married to A or C, and could potentially be married to B.

Statement 2 alone doesn't tell us definitively who is opposite B. We need more information to link the people and their spouses correctly.

Combining Statements 1 and 2:

1. From Statement 1, we know the couples A-Q and C-S.
2. From Statement 2, we know that C, B, and P are in corners. Furthermore, Q is opposite the person between C and A.
3. Let's deduce. Since Q is not A's or C's spouse (as Q is opposite the person between C and A, who is either B or D), and we already know A's spouse (Q) so Q can be opposite B or D.
4. Because C is opposite S, and C is married to S, and we know that Q is opposite the person between C and A, B must be opposite S and D is opposite R. Since the only remaining spouse for B is R, B must be married to R. This contradicts Q being married to B.
5. So, looking again, Q is not married to A, Q is not married to C and Q must be married to B, leaving the arrangement to be as follows:
* A - Q
* C - S
* B - R
* D - P

With the combined information, we can definitively determine who is opposite B. B is opposite S.

Therefore, both statements together are needed to answer the question.