When the question consists of two statements, Assertion (A) and Reason (R),.

Assertion (A) - 3 + 7 = 9 is a statement.

Reason (R) - A sentence which can be judged to be true or false but not both is called a statement.

Assertion A: "3 + 7 = 9 is a statement."

Reason R: "A sentence which can be judged to be true or false but not both is called a statement."

Detailed Analysis

To evaluate the validity of assertion A and Reason (R), let us analyze each separately:

Analyzing Assertion A

The given assertion A claims that "3 + 7 = 9" is a statement. In mathematics, the sum of 3 and 7 equals 10, not 9. Since the equation "3 + 7 = 9" is mathematically incorrect, assertion A is false. Therefore, the statement within assertion A cannot be true.

Analyzing Reason R

The Reason (R) defines a "statement" as a sentence that can be judged to be either true or false, but not both. This definition aligns with the standard logical definition of a statement. Hence, Reason (R) is true.

Conclusion

While Reason (R) is true and provides an accurate explanation of what constitutes a statement, it does not correctly explain assertion A, as the assertion itself is false. Therefore, the correct analysis is:

(A) Both assertion A and Reason (R) are true, but Reason (R) is not the correct explanation of assertion A.

Correct Answer: Option 1