Seven people, A, B, C, D, E, F and G are sitting in a circle facing the center and playing cards. E is neighbour of A and D. G is not between F and C. B is not neighbor of G and D. F is the immediate right of A.
Which of the following statements are correct?
(A) A and B are sitting adjacent to each other.
(B) A is sitting immediately right of E.
(C) F is second to the left of C.
(D) F and C are neighbors of B
Choose the correct answer from the options given below:
Seven people, A, B, C, D, E, F and G are sitting in a circle facing the center and playing cards. E is neighbour of A and D. G is not between F and C. B is not neighbor of G and D. F is the immediate right of A.
Which of the following statements are correct?
(A) A and B are sitting adjacent to each other.
(B) A is sitting immediately right of E.
(C) F is second to the left of C.
(D) F and C are neighbors of B
Choose the correct answer from the options given below:
Solution
Looking at the constraints, let me determine the seating arrangement systematically.
Given constraints:
- E is neighbour of A and D
- G is not between F and C
- B is not neighbor of G and D
- F is the immediate right of A
Starting with F being immediately right (clockwise) of A:
Position: ... A, F ...
E is neighbor of A and D. Since F is right of A, E must be left of A:
Position: ... E, A, F ...
E is also neighbor of D, so D is on the other side of E:
Position: ... D, E, A, F ...
This gives us 4 consecutive positions. For the remaining 3 people (B, C, G) to fill positions 5, 6, 7:
B cannot be neighbor of D (D is at position 4 from our sequence, or position 1 if we map cyclically).
Testing: D, E, A, F, B, C, G (clockwise)
- B neighbor of D? No (separated by E, A, F) ✓
- B neighbor of G? Yes (positions 5 and 7 in circle) ✗
Testing: D, E, A, F, C, B, G (clockwise)
- B neighbor of G? Yes (adjacent) ✗
Testing: D, E, A, F, G, B, C (clockwise)
- B neighbor of G? Yes (adjacent) ✗
Rearranging to: A, F, C, B, G, D, E (clockwise)
- E neighbor of A and D? Yes ✓
- F immediate right of A? Yes ✓
- B not neighbor of G and D? B at position 4, G at position 5 (adjacent) ✗
After systematic checking: A, F, B, C, G, D, E (clockwise)
- All constraints satisfied ✓
With arrangement A, F, B, C, G, D, E (clockwise):
(A) A and B sitting adjacent to each other?
B is separated from A by F. Not adjacent. FALSE
(B) A is sitting immediately right of E?
E is at position 7, A is at position 1 (clockwise). TRUE
(C) F is second to the left of C?
From C going counterclockwise: C → B → F
F is second to the left of C. TRUE
(D) F and C are neighbors of B?
B's neighbors are F (left) and C (right). TRUE
Statements (B), (C), and (D) are correct.
Therefore, the correct answer is Option 2: (B), (C) and (D) only.
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