Eight friends A, B, C, D, E, F, G and H are sitting around a circle, facing…
2023
Eight friends A, B, C, D, E, F, G and H are sitting around a circle, facing the centre. ‘C’ is between ‘E’ and ‘F’. ‘G’ is the neighbour of ‘E’. ‘F’ is on the immediate right of ‘B’. ‘H’ is on the immediate left of ‘A’. ‘H’ is not the neighbour of ‘D’ or ‘E’. Which of the following statement is true?
- A.
F is the neighbour of G
- B.
G is between H and E
- C.
E is between B and F
- D.
H is immediate neighbour of A and D
Attempted by 69 students.
Show answer & explanation
Correct answer: B
Key facts: use these constraints to build the seating.
F is immediate right of B (so clockwise from B comes F).
C is between E and F (so the three must appear consecutively with C in the middle).
G is a neighbour of E (so G is immediately next to E on one side).
H is immediate left of A (so moving clockwise from H gives A).
H is not a neighbour of D or E.
Step-by-step placement:
Place B and F so that F is immediately to the right of B: clockwise segment B → F.
C is between E and F, so a consecutive segment must be E - C - F - B (clockwise).
G is a neighbour of E, so place G on E's other side: ... G - E - C - F - B ...
H must be immediate left of A and cannot be next to D or E. The only placement that satisfies all remaining constraints is to place H between G and A.
Final seating (clockwise): B, F, C, E, G, H, A, D.
Check neighbours in this seating:
F's neighbours are B and C.
E's neighbours are C and G.
G's neighbours are E and H.
H's neighbours are G and A (so H is next to A but not next to D or E).
Evaluation of the given statements:
Statement: "F is the neighbour of G" — False. In the valid seating, F is next to B and C, not G.
Statement: "G is between H and E" — True. The seating places G directly between H and E.
Statement: "E is between B and F" — False. E is between C and G in the valid seating.
Statement: "H is immediate neighbour of A and D" — False. H is immediate neighbour of A but not of D, since H cannot be next to D or E.