Introduction / Context:
This is a circular seating arrangement problem that tests logical reasoning, spatial arrangement skills and the consistent application of multiple conditions. Eight people, all facing the centre, must be seated in such a way that all given constraints on relative positions are satisfied. Then we must identify which statement about F and B and about B and D is correct.
Given Data / Assumptions:
- People: A, B, C, D, E, F, G, H.
- All sit around a circular table facing the centre.
- G is third to the right of C.
- E is second to the right of G and fourth to the right of H.
- B is fourth to the right of C.
- D is not an immediate neighbour of E.
- A and C are immediate neighbours.
Concept / Approach:
We place one person at a reference position (for example, C) and then place others step by step using the right direction consistently around the circle. Because everyone faces the centre, moving to the right corresponds to moving clockwise. Once a valid arrangement is built, we can read off the relative positions needed to evaluate the answer choices.
Step-by-Step Solution:
Step 1: Fix C at a reference seat. Place G third to the right of C.
Step 2: Place B fourth to the right of C.
Step 3: Place E second to the right of G and then place H so that E is fourth to the right of H.
Step 4: Ensure that A sits adjacent to C, as an immediate neighbour.
Step 5: Place D and F in the remaining seats while respecting the condition that D is not a neighbour of E.
Step 6: One valid final circular ordering (clockwise) is A, C, H, D, G, B, E, F.
Verification / Alternative check:
From this arrangement, starting from B and moving clockwise, the first seat to the right is E and the second seat to the right is F. Therefore, F is second to the right of B, which makes option stating this fact correct. F is not third to the left of B and B is not next to D, so those statements are false.
Why Other Options Are Wrong:
The statement that F is third to the left of B does not match the derived seating order. The statement that B is an immediate neighbour of D is also not supported by any consistent arrangement satisfying all conditions. Therefore, the option claiming all of the statements are true is incorrect as well.
Common Pitfalls:
Learners often mix up left and right in circular arrangements or change direction midway. Another issue is not maintaining a fixed orientation when rotating the circle, which can lead to inconsistent conclusions about relative positions.
Final Answer:
The only correct statement is that
F is second to the right of B.
Discussion & Comments