Consider two statements S1 and S2 followed by a question :

S1 : $p$ and $q$ both are prime numbers.

S2 : $p + q$ is an odd integer.

Question : Is $pq$ an odd integer?

Which one of the following is correct ?

S1 alone is sufficient to answer the question

S2 alone is sufficient to answer the question

Both S1 and S2 taken together are not sufficient to answer the question

Both S1 and S2 are necessary to answer the question

Kepler. Discussing PYQs. Q.no. 58

Consider two statements S1 and S2 followed by a question : S1 : ppp and qqq both are prime numbers. S2 : p+qp + qp+q is an odd integer. Question : Is pqpqpq an odd integer? Which one of the following is correct ?