A statement is followed by four conclusions. Which of the conclusions is/are true based on the given statement? **Statement:** $$I

Question

A statement is followed by four conclusions. Which of the conclusions is/are true based on the given statement?

**Statement:**

$$I < M < F \leq D \leq S = J$$

**Conclusions:**

I) $$S < M$$

II) $$F = S$$

III) $$I > J$$

IV) $$M < D$$

Accepted Answer

**Solution:** 1. Given the statement: $$I < M < F \leq D \leq S = J$$ 2. Analyze each conclusion: - Conclusion I: $$S < M$$ - From the statement, since $$M < F \leq D \leq S$$, it follows that $$M < S$$. - Therefore, $$S < M$$ is false. - Conclusion II: $$F = S$$ - The statement shows $$F \leq D \leq S$$, so $$F$$ is less than or equal to $$S$$, but equality is not guaranteed. - Therefore, $$F = S$$ is not necessarily true. - Conclusion III: $$I > J$$ - From the statement, $$I < M < F \leq D \leq S = J$$, so $$I < J$$. - Therefore, $$I > J$$ is false. - Conclusion IV: $$M < D$$ - Since $$M < F \leq D$$, it follows that $$M < D$$. - Therefore, conclusion IV is true. **Answer:** Only conclusion IV is true.

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