Explanation:

Statements: L ≥ A ≥ C, K = Y ≤ C, H > D ≤ K
Conclusions: D < A, A = D, L > Y
For conclusion I: D < A
From statements I, II and III, we get:
D ≤ K = Y ≤ C ≤ A
Here, the common sign between D and A is '≤', hence D ≤ A.
Thus conclusion I does not follow individually.
For conclusion II: A = D
From statements I, II and III, we get:
D ≤ K = Y ≤ C ≤ A
Here, the common sign between D and A is '≤', hence D ≤ A.

Thus conclusion II does not follow individually.
On combining conclusion I and II we get D ≤ A.
Therefore either conclusion I or II follows.
For conclusion III: L > Y
From statements I and II, we get:
Y ≤ C ≤ A ≤ L
Thus the common sign between Y and L is '≤', Therefore Y ≤ L is the true relationship
Hence conclusion III does not follow.
Therefore either conclusion I or II follows.
Hence option B is correct.