Explanation:

- There are three boys: T, R, and M, facing north and three girls: F, G, and K facing them.

- F and R are diagonally opposite each other.

- K is not at any of the ends, indicating K is in the middle position among the girls.

- When K is in the middle, F and R must be at the opposite corners to be diagonally opposite.

By the above, we can derive:

- F and R at diagonal positions imply F is at one end and R at the opposite end.

- Hence, if F is on the left for the girls, R will be on the right for the boys and vice versa.

- Given these constraints:

- Option I: GR – It's possible if G is at the remaining end opposite to T since K is not at ends.

- Option II: KT – This pairing is always true since K is at the middle.

Answer Options:

1. Only I – This implies only GR is correct. This is not consistently true.

2. Only II – This implies KT is correct, which is always true due to position.

3. Both I and II – This implies both pairs are correct. GR can shift, so this isn't always the case.

4. Neither I nor II – implies neither is consistently true.

Correct Answer: Option 2, Only II