Difficulty: Hard
Correct Answer: G & H , H
Explanation:
Introduction / Context:
This is a typical circular seating arrangement and logical reasoning question. It tests the ability to interpret multi condition statements, place people around a circle and then deduce relative positions like neighbours and who sits opposite whom. Such problems are common in competitive exams and require a systematic step by step approach.
Given Data / Assumptions:
Concept / Approach:
We use a structured reasoning method. First, exploit symmetry by fixing one persons position to reduce rotational ambiguity. Then place others using the constraints one by one. Because genders must alternate, we know pattern of lady and gentleman seats around the circle. Using the between and facing conditions we can identify exact seats. Finally, we read off neighbours and opposite seats for the required persons.
Step-by-Step Solution:
Step 1: Because ladies and gentlemen alternate, assume seats 1, 3, 5, 7 are ladies and seats 2, 4, 6, 8 are gentlemen.Step 2: Fix C at seat 1 without loss of generality (circular symmetry). Then D, who is facing C, must be at seat 5.Step 3: C is between G and E. So seats 8 and 2, the neighbours of C, must be G and E in some order.Step 4: F is between D and A and faces G. F is a gentleman, so F occupies some gentleman seat that is opposite G.Step 5: Try G at seat 2 and E at seat 8. Then the opposite of seat 2 is seat 6, so F must be at seat 6. F is between D and A, so the neighbours of F, seats 5 and 7, must be D and A. Since seat 5 is already D, seat 7 must be A.Step 6: The remaining lady B must be at seat 3. The only unused gentleman seat is 4, so H must be at seat 4.Step 7: Check H is to the right of B. From B at seat 3, the immediate right (clockwise) seat is 4, which is H, so this arrangement satisfies all conditions.Step 8: Now read answers. Neighbours of B (seat 3) are G at seat 2 and H at seat 4. E is at seat 8, which is opposite seat 4, so E faces H.
Verification / Alternative check:
To be sure this is unique, try the other initial possibility where G is at seat 8 and E is at seat 2. In that case, F would need to be opposite G at seat 4. For F to be between D and A, the neighbours of seat 4 (seats 3 and 5) must be D and A, but seat 5 is already D, so A would be at seat 3 and B at seat 7. Then the right of B at seat 7 is seat 8, which would be G instead of H, violating the condition that H is to the right of B. Hence the previous arrangement is the only valid one, confirming that B has neighbours G and H and E faces H.
Why Other Options Are Wrong:
Common Pitfalls:
People often misinterpret right and left in circular arrangements or forget that everyone is facing the centre. Another major mistake is not respecting the alternation of ladies and gentlemen and placing two of the same gender together. Some also stop after a partial arrangement without checking all conditions, leading to a wrong conclusion. Always verify every given condition once you think you have a solution.
Final Answer:
The immediate neighbours of B are G and H, and E is facing H.
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