Main Statement : Pradeep becomes either a Director or a Producer. Statement P : Pradeep is a Director. Statement Q : Pradeep is a Producer. Statement R : Pradeep is not a Director. Statement S : Pradeep is not a Producer. Select the correct answer. (a) SP only (b) RQ only (c) Both SP and RQ (d) Neither SP nor RQ

1. A. SP only
2. B. RQ only
3. C. Both SP and RQ
4. D. Neither SP nor RQ

Answer: C

Explanation

The Main Statement, ‘Pradeep becomes either a Director or a Producer,’ implies an exclusive OR relationship: Pradeep must be one of the two, and cannot be both (or neither).

Let’s evaluate the given pairs:

1. **SP (S implies P):**
– Statement S: Pradeep is not a Producer.
– Given the Main Statement (either Director OR Producer), if Pradeep is not a Producer, he *must* be a Director.
– This implies Statement P: Pradeep is a Director. This deduction is consistent with the Main Statement.
Therefore, SP is a valid pair.

2. **RQ (R implies Q):**
– Statement R: Pradeep is not a Director.
– Given the Main Statement (either Director OR Producer), if Pradeep is not a Director, he *must* be a Producer.
– This implies Statement Q: Pradeep is a Producer. This deduction is consistent with the Main Statement.
Therefore, RQ is a valid pair.

Since both SP and RQ represent valid logical implications consistent with the Main Statement, the correct answer is (C). This question tests logical deduction and understanding of ‘either/or’ statements.