Discussion
Four of the following five are alike in a certain way based on their seating positions in the above arrangement and hence form a group. Which of the following does not belong to the group?
Answer: D
Correct answer: A
Five face the centre and three face outward, so “left” and “right” must be read from each person’s own seat: for someone facing the centre the left is clockwise, for someone facing outward it is anticlockwise.
C faces the centre, which fixes E three seats away; F three to E’s left only works if E faces outward, and B is then four seats from F, opposite. Since E’s neighbours face the centre and D’s face outward, D can only sit where one of his neighbours is E - and A three to D’s right then falls into a single seat. The sex constraints do the rest: B’s neighbours are female, E’s are male, and G may have no female beside him.
Clockwise the table reads C (m, centre) → A (m, outward) → F (f, centre) → H (f, outward) → D (m, centre) → E (f, outward) → B (m, centre) → G (f, centre) - four of each sex, and A, H and E the three facing outward.
B, F, G and D all face the centre. A is one of the three facing outward, so he is the odd one out.
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