Seven varsity basket ball players (A. B, C, D, E, F and G) are to be honoured…
2024
Seven varsity basket ball players (A. B, C, D, E, F and G) are to be honoured at a special luncheon. A and G have to leave the luncheon. The players will be seated on the dais in a row early and so must be seated at the extreme right .B will receive the most valuable player's trophy and so must be in the centre to facilitate presentation .C and D are bitter rivals and, therefore must be seated as far apart as possible. Which of the following pair cannot occupy the seats on either side of B?
- A.
F&D
- B.
D&E
- C.
E&G
- D.
C&F
Attempted by 619 students.
Show answer & explanation
Correct answer: C
Conclusion: E and G cannot occupy the seats on either side of B.
Key facts:
B must sit in the centre to facilitate the trophy presentation.
A and G have to leave early, so at least G must be placed at an extreme seat (not next to the centre).
C and D must be seated as far apart as possible, which constrains where C and D can go but does not force G next to the centre.
Implication:
Because B is fixed at the centre, the two seats beside B are the only candidates for the adjacent pair.
G must occupy an extreme seat due to the leaving-earlier constraint, so G cannot be placed in a seat adjacent to the centre.
Therefore any pair that requires G to be beside the centre is impossible; among the choices, the pair that includes G is E and G, so E and G cannot occupy the seats on either side of B.
Note: Other listed pairs do not include a person forced to an extreme seat in the same way, so they can be arranged beside B while respecting the rivals and leaving constraints.