In the following question, the relationship between different elements is given in the statements. Based on these statements, analyze the conclusions and select the correct option.

**Statements:**

$G R \geq E = A \leq T \leq S$; $D \leq A \leq J$

**Conclusions:**

I. $T \geq D$

II. $R S$

Question

In the following question, the relationship between different elements is given in the statements. Based on these statements, analyze the conclusions and select the correct option.

**Statements:**

$G > R \geq E = A \leq T \leq S$; $D \leq A \leq J$

**Conclusions:**

I. $T \geq D$

II. $R > S$

Accepted Answer

**Solution:**

1. Analyze the given statements:
   - $G > R \geq E = A \leq T \leq S$
   - $D \leq A \leq J$

2. From the first statement, we have the order:
   $$G > R \geq E = A \leq T \leq S$$
   This means $A$ is equal to $E$, and $A$ is less than or equal to $T$, which in turn is less than or equal to $S$.

3. From the second statement:
   $$D \leq A \leq J$$
   So, $D$ is less than or equal to $A$.

4. Check Conclusion I: $T \geq D$
   - Since $D \leq A$ and $A \leq T$, by transitive property, $D \leq T$.
   - Therefore, $T \geq D$ is true.

5. Check Conclusion II: $R > S$
   - From the first statement, $R \geq E = A \leq T \leq S$.
   - Since $T \leq S$, $R$ cannot be greater than $S$ because $R$ is less than or equal to $S$.
   - Hence, $R > S$ is false.

**Answer:** (b) If only conclusion I is true

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