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: U=B<I; X>M≥U=P<E; O=P≤D<H>Z

Conclusion: I. X>O

II. E>I

III. H<O

Correct Answer: Only I is true

Step-by-Step Explanation:

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

Given Statements:

1. $U=B<I$

2. $X>M\ge U=P<E$

3. $O=P\le D<H>Z$

Checking Conclusion I: $X>O$

From the second statement, we have: $X>M\ge U=P$

From the third statement, we know: $P=O$

Combining these relations: $X>M\ge U=P=O$

Therefore, we get: $X>O$

Thus, Conclusion I is definitely true.

Checking Conclusion II: $E>I$

From statement 1: $U<I$

From statement 2: $U=P<E$

Comparing $E$ and $I$ via $U$:

$E>U$ and $I>U$

Since both $E$ and $I$ are greater than $U$, we cannot establish a direct relationship between $E$ and $I$.

Thus, Conclusion II is not definitely true.

Checking Conclusion III: $H<O$

From statement 3: $O=P\le D<H$

This clearly implies: $O<H$, which is equivalent to $H>O$.

Hence, the claim $H<O$ is false.

Thus, Conclusion III is false.

Conclusion:

Only Conclusion I follows.