Consider the following statements: I. If A≤ B > C E > F≥ G = H ; then B is always greater than E. II. If P > Q = R≥ S = T≤ U = V > W ; then S is always less than V. Which of the statements given above is/are correct?

Statement I: A C E > F>= G = H ; then B is always greater than E. Let's analyze the path from B to E: B > C E. From B > C and D > E, we know B is greater than C and D is greater than E. However, the relationship between C and D is C C (5>4), CE (10>6). In this case, B (5) is not greater than E (6). Since B is not always greater than E, statement I is incorrect.

Statement II: P > Q = R>= S = T W ; then S is always less than V. Let's analyze the path from S to V: S = T<= U = V. Combining these, we get S <= V. This means S can be less than V (S < V) or S can be equal to V (S = V). For example: If S=5, T=5, U=6, V=6, then S < V (5 < 6). If S=5, T=5, U=5, V=5, then S = V (5 = 5). Since S can be equal to V, the conclusion "S is always less than V" is not always true. Therefore, statement II is incorrect.

Since both statements I and II are incorrect, the correct option is D.

The final answer is D