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Which of the following cannot be a possible sitting order from front to back ?

  • A.ADFG
  • B.ADFB
  • C.AFEB
  • D.HCEG

Answer: C

The order that cannot occur is AFEB.

Taking one student from each bench, from front to back, the possible students are: bench 1, A or B or H; bench 2, D or C or E; bench 3, F or C or E; bench 4, G or B or H.

In AFEB, F is the student from bench 2, but F always sits on bench 3, so this order is impossible.

The others fit: ADFG takes A, D, F and G from benches 1 to 4; ADFB has B on bench 4; HCEG has H on bench 1, C on bench 2 and E on bench 3, which keeps C and E apart as required.

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