Read the given passage and answer the questions.
P, Q and R are three elements which undergo chemical reactions according to the following equations.
(i) `P_(2)O_(3) +2Q to Q_(2)O_(3) +2P`
(ii) `3RSO_(4) +2Q to Q_(2)(SO_(4))_(3) +3R`
(iii) `3RO +2P to P_(2) O_(3) +3R`
`3RSO_(4) +2Q to Q_(2)(SO_(4))_(3) +3R`
The given reaction shows:

Options

A. Q is more reactive than R
B. Q is less reactive than R
C. Q and R are equally reactive
D. none of the above

Explanation

To analyze the chemical reactions involving elements P, Q, and R, we will determine the reactivity order based on the given equations.

### Step-by-Step Solution:

1. **Examine the First Reaction:**
- The equation is:
\[ P_2O_3 + 2Q \rightarrow Q_2O_3 + 2P \]
- In this reaction, Q displaces P from \(P_2O_3\) to form \(Q_2O_3\) and elemental P. This indicates that Q is more reactive than P.

**Hint:** Look for which element is displacing another in the reaction to determine reactivity.

2. **Examine the Second Reaction:**
- The equation is:
\[ 3RSO_4 + 2Q \rightarrow Q_2(SO_4)_3 + 3R \]
- Here, Q displaces R from \(RSO_4\) to form \(Q_2(SO_4)_3\) and elemental R. This shows that Q is more reactive than R.

**Hint:** Identify the product and the elements involved to see which one is being replaced.

3. **Examine the Third Reaction:**
- The equation is:
\[ 3RO + 2P \rightarrow P_2O_3 + 3R \]
- In this reaction, P displaces R from \(RO\) to form \(P_2O_3\) and elemental R. This indicates that P is more reactive than R.

**Hint:** Compare the elements in the reactants and products to see which is more reactive.

4. **Summarize the Reactivity Order:**
- From the analysis:
- Q is more reactive than P (from the first reaction).
- Q is more reactive than R (from the second reaction).
- P is more reactive than R (from the third reaction).
- Therefore, the reactivity order is:
\[ Q > P > R \]

5. **Evaluate the Statements:**
- **Statement 1:** Q is more reactive than R. (True)
- **Statement 2:** Q is less reactive than R. (False)
- **Statement 3:** Q and R are equally reactive. (False)

The correct conclusion is that Q is the most reactive, followed by P, and R is the least reactive.

### Final Answer:
The correct statement is that Q is more reactive than R.