Statement: Either A is 200 metres from B and B is 100 metres from C or A is 300 metres from C.
Which of the following ordered relation is not compatible with the given statement?
(i) A is 200 metres from B and B is 100 metres from C.
(ii) A is 300 metres from C.
(iii) A is not 200 metres from B and B is not 100 metres from C.
(iv) A is not 300 metres from C.

Let Statement P: A is 200 metres from B, B is 100 metres from C, and statement Q: A is 300 metres from C.

In the question, it is given either statement P or statement Q is true.

All of the following statements are compatible with the given statement.

1. If P is true, Q is not true.

2. If Q is true, P is not true.

3. Neither P nor Q are true.

4. If P is not true, Q may be true or false.

5. If Q is not true, Q may be true or false.

Option B, i.e. statements (i) and (iv) represents the condition given in statement 1.

Option C, i.e. statements (iii) and (ii) represents the condition given in statement 4.

Option D, i.e. statements (ii) and (iii) represents the condition given in statement 2.

Option A is not in line with any of the given statements.

Therefore, the answer is option A.