Discussion
If C and D, p and t and q and E interchange their positions, then who will be the second person to the right of the person who is opposite to the person second to the right of D ?
Answer: B
The person is p.
Number the seats 1 to 5 from west to east. The girls face north, so a girl's right is east; the boys face south, so a boy's left is east. C is just right of A and A is at an end, so A is in seat 1 and C in seat 2, and t, opposite C, is in seat 2. q is just to the left of s, so q sits one seat east of s, opposite E. B and r are diagonally opposite, at opposite ends of the two rows. If s and q took seats 4 and 5, E would be at seat 5 and B could not be at an end, so s is in seat 3, q and E in seat 4, r in seat 1 and B in seat 5. That leaves p in seat 5 and D in seat 3.
| Seat | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|
| Boys (facing south) | r | t | s | q | p |
| Girls (facing north) | A | C | D | E | B |
After the interchanges, C and D swap seats 2 and 3, p and t swap seats 2 and 5, and q and E swap rows at seat 4. The girls' row reads A, D, C, q, B and the boys' row r, p, s, E, t, each person taking the direction of the row they sit in.
D is now in seat 2 facing north, so second to her right is seat 4, where q sits. Opposite q is E, now in the boys' row facing south, whose right is west. Second to the right of E is seat 2, which is p.
r is third to E's right, one place too far; E is the person opposite q, not the answer; and C is in the girls' row, nowhere near E's right.
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