Directions (80-82):In each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below is/are definitely true and give your answer accordingly.

Statement: B ≥ D = C ≤ A ≥ Y; N ≥ E > M = C > L ≤ P
Conclusion: I. N ≥ Y
II. B ≥ M
III. P < N

Correct Answer: Only II is true

Let us analyze the given statements step-by-step to check the validity of each conclusion.

Given Statements:

1. $B\ge D=C\le A\ge Y$

2. $N\ge E>M=C>L\le P$

From Statement 1, we know that $C\le A\ge Y$, and from Statement 2, $N\ge E>M=C$.

Evaluating Conclusion I: N ≥ Y

Combining the path from N to Y via C:

$N\ge E>M=C\le A\ge Y$

Since the inequality symbols between N and Y change directions ($>$ and $\le$), no definite relationship can be established between N and Y.

Hence, Conclusion I is false.

Evaluating Conclusion II: B ≥ M

Combining the path from B to M via C:

From Statement 1, $B\ge D=C$, so $B\ge C$.

From Statement 2, $M=C$.

Substituting $C=M$ into $B\ge C$, we get:

$B\ge M$

Hence, Conclusion II is definitely true.

Evaluating Conclusion III: P < N

Combining the path from P to N:

$N\ge E>M=C>L\le P$

Since the inequality symbols between N and P change directions ($>$ and $\le$), no definite relationship can be established between P and N.

Hence, Conclusion III is false.

Therefore, only conclusion II is true.