Discussion
Which of the following pairs is diagonally opposite to each other ?
Answer: C
The diagonally opposite pair is Ap.
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 |
A sits at seat 1 in the girls' row and p at seat 5 in the boys' row, the two opposite ends of the arrangement, as B and r are.
C and t both sit at seat 2 and E and q both at seat 4, so those pairs face each other directly rather than diagonally. D (seat 3) and p (seat 5) are neither directly nor diagonally opposite.
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