In a class, there are five students A, B, C, D, E who sit on a bench. i) B and…
2026
In a class, there are five students A, B, C, D, E who sit on a bench.
i) B and D are close friends and they always sit together but not at the end sides of the bench
ii) E and C sit as far as possible
iii) A is a friend of C and sits to the immediate right of C, and also to the immediate left of B
The two end sides of the bench are occupied by
- A.
E, C
- B.
B, D
- C.
E, A
- D.
C, D
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Show answer & explanation
Correct answer: A
Answer: The two end sides are C and E.
E and C must be farthest apart, so they occupy the two end seats.
A sits immediately to the right of C and immediately to the left of B, so C, A, B form a contiguous block in that order.
B and D sit together and are not allowed to be at the ends, so the pair B–D must occupy middle seats.
Place C at the left end. Then A is to C's right and B is to A's right (C, A, B). To keep B and D together and not at an end, place D next to B. The remaining seat at the right end is E.
Final seating from left to right: C, A, B, D, E
Therefore the two ends are C and E.