i) There are 9 friends A , B , C , D , E , F , G , H seated in a circle facing the centre. ii) AC , DG , HE and FB are seated adjacent to each other. A is also seated adjacent to H . iii) B is 2^ nd to the right of H . iv) E is 3^ rd to the right of C . Who among the following pairs may not be seated adjacent to each other?

Step-by-step solution

To determine which pair may not be seated adjacent to each other, we evaluate the established seating chain: C-A-H-E-B-F. - AH: Explicitly stated as adjacent in the rules. - EB: Since (B ) is (2^ nd ) to the right of (H ), and (E ) is (3^ rd ) to the right of (C, E ) must sit between (H ) and (B ), making them adjacent. - DC: (D ) is part of the (D G ) pair. This group sits in the remaining section with an unknown 9th person. Because their order is not fixed, (D ) is not necessarily next to (C ). Final Answer: (B)