A Main Statement is followed by four Statements labelled P, Q, R and S. Choose the ordered pair of the Statements where the first Statement implies the second, and the two Statements are logically consistent with the Main Statement.
- 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.
Answer & explanation
Answer: (c) Both SP and RQ
Under ‘either a Director or a Producer’, ruling out one role forces the other. So ‘not a Producer’ implies ‘a Director’ (SP), and ‘not a Director’ implies ‘a Producer’ (RQ).
- ✓ SP If Pradeep is not a Producer (S), the Main Statement leaves only Director (P). S implies P.
- ✓ RQ If Pradeep is not a Director (R), he must be a Producer (Q). R implies Q.
Remember · For ‘either A or B’, the valid pairs are ‘not A, therefore B’ and ‘not B, therefore A’.
Question and answer: UPSC's official GS Paper II (2024, Series A) — paper ↗ · answer key ↗. Explanation: Minimalist IAS, checked 30 Sept 2026 (how we verify). ·