A : In alkaline medium, `KMnO_(4)` acts as powerful oxidising agent.
R : `KMnO_(4)` reduces to give `Mn^(2+)` in alkaline medium.

Options

A. If both Assertion & Reason are true and the reason is the correct explanation of the assertion, then mark (1).
B. If both Assertion & Reason are true but the reason is not the correct explanation of the assertion, then mark (2).
C. If Assertion is true statement but Reason is false, then mark (3).
D. If both Assertion and Reason are false statements, then mark (4).

Answer

To solve the question, we need to analyze the assertion and reason provided regarding the behavior of potassium permanganate (KMnO₄) in alkaline medium.

### Step-by-Step Solution:

1. **Understanding the Assertion**:
- The assertion states that in alkaline medium, KMnO₄ acts as a powerful oxidizing agent.
- To evaluate this, we need to consider the behavior of KMnO₄ in alkaline conditions.

2. **Behavior of KMnO₄ in Alkaline Medium**:
- In alkaline medium, KMnO₄ exists as MnO₄⁻ (permanganate ion).
- The reduction of MnO₄⁻ in alkaline medium leads to the formation of MnO₄²⁻ (manganate ion).

3. **Determining Oxidation States**:
- Calculate the oxidation state of manganese in both MnO₄⁻ and MnO₄²⁻.
- For MnO₄⁻:
- Let the oxidation state of manganese be X.
- The equation becomes: X + 4(-2) = -1 (charge of MnO₄⁻).
- Thus, X - 8 = -1 → X = +7.
- For MnO₄²⁻:
- Let the oxidation state of manganese be Y.
- The equation becomes: Y + 4(-2) = -2 (charge of MnO₄²⁻).
- Thus, Y - 8 = -2 → Y = +6.

4. **Change in Oxidation State**:
- The change in oxidation state from MnO₄⁻ to MnO₄²⁻ is from +7 to +6, which is a change of 1.
- This indicates that KMnO₄ is not acting as a strong oxidizing agent in alkaline medium, as it only changes its oxidation state by 1.

5. **Evaluating the Reason**:
- The reason states that KMnO₄ reduces to give Mn²⁺ in alkaline medium.
- This is incorrect because KMnO₄ does not reduce to Mn²⁺ in alkaline medium; it reduces to MnO₄²⁻ instead.

6. **Conclusion**:
- Both the assertion and the reason are false.
- Therefore, the correct answer to the question is that both statements are false.

### Final Answer:
Both the assertion and reason are false.