1. Correct Answer: Option B: S2 alone is sufficient to answer the question.
 2. Explanation:
     Let's analyze the statements and the question step by step:
     ● Statement S1: p and q both are prime numbers.  
           ○ Prime numbers are numbers greater than 1 that have no divisors other than 1 and themselves.
           ○ The smallest prime number is 2, and all other prime numbers are odd.
           ○ If both p and q are prime, they could either both be odd or one could be 2 (the only even prime) and the other an odd prime.
     ● Statement S2: p + q is an odd integer.  
           ○ The sum of two numbers is odd if and only if one of the numbers is even and the other is odd.
           ○ Since 2 is the only even prime number, one of p or q must be 2, and the other must be an odd prime number.
     Question: Is pq an odd integer?
         ○ For pq to be odd, both p and q must be odd.
         ○ From S2, we know that one of the numbers must be 2 (even) and the other must be odd.
         ○ Therefore, pq will be even because multiplying an even number (2) by any other number results in an even product.
     Conclusion:
     ● S1 alone is not sufficient because it does not specify the parity of p + q.  
     ● S2 alone is sufficient because it directly leads to the conclusion that one of the numbers is 2, making pq even.  
         ○ Therefore, the correct answer is Option B: S2 alone is sufficient to answer the question.