Question

In this question, a statement is followed by two conclusions. Which of the two conclusions is/are true with respect to the statement?

## Statement:

C ≤ F < E = D > G ≥ H < I

## Conclusions:

I. D > C

II. E < H

• A. Both conclusions I and II are true
• B. Only conclusion I is true
• C. Only conclusion II is true
• D. Neither conclusion I nor II is true

Answer 1

Answer:

B. Only conclusion I is true

Only Conclusion I is true.

To evaluate the conclusions, let's trace the relationship paths between the letters directly from the given statement:
C \leq F < E = D > G \geq H < I

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Evaluating Conclusion I: D > C

1. Extract the path connecting $C$ and $D$:
   C \leq F < E = D

2. Combine into a direct relationship:
   Since $C$ is less than or equal to $F$, and $F$ is strictly less than $E$ (which is equal to $D$), the strict less-than sign (<) takes definitive priority. This gives:
   C < D

3. Rewriting this relationship gives:
   D > C

Therefore, Conclusion I is true.

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Evaluating Conclusion II: E < H

1. Extract the path connecting $E$ and $H$:
   E = D > G \geq H

2. Combine into a direct relationship:
   Since $E$ equals $D$, which is strictly greater than $G$, and $G$ is greater than or equal to $H$, we find that:
   E > H

Therefore, Conclusion II is false because it directly contradicts our finding.