A: Pure silver is obtained by electrolysis of `AgNO_3` solution
R: In electrolysis impure silver is taken as cathode and pure silver is taken as anode.

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
D. If both Assertion and Reason are false statements, then mark (4)

Answer

To solve the question regarding the statements about the electrolysis of silver, we will analyze both the assertion (A) and the reason (R) step by step.

### Step-by-Step Solution

1. **Understanding Assertion (A)**:
- The assertion states that "Pure silver is obtained by electrolysis of `AgNO_3` solution."
- This statement is **true** because electrolysis of a silver nitrate solution does indeed yield pure silver at the cathode.

2. **Understanding Reason (R)**:
- The reason states that "In electrolysis, impure silver is taken as cathode and pure silver is taken as anode."
- This statement is **false**. In electrolysis for obtaining pure silver, impure silver is used as the anode (where oxidation occurs), and pure silver is used as the cathode (where reduction occurs and pure silver is deposited).

3. **Conclusion**:
- Since the assertion (A) is true and the reason (R) is false, the correct answer is that the assertion is true, but the reason is false.

### Final Answer:
- The correct conclusion is that the assertion is true, but the reason is false. Therefore, the answer is option 3.