Q74. 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
Detailed Solution
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.
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