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.
A.SP only
B.RQ only
C.Both SP and RQ✓ Correct
D.Neither SP nor RQ
Explanation
The Main Statement is a disjunction: Pradeep is a Director OR a Producer (at least one is true). Consider SP: If Pradeep is not a Producer (S), then by the main statement he must be a Director (P). So S implies P, and both are consistent with the main statement. Consider RQ: If Pradeep is not a Director (R), then by the main statement he must be a Producer (Q). So R implies Q, and both are consistent with the main statement. Both ordered pairs SP and RQ satisfy the conditions (first implies second, consistent with main statement). Hence the answer is both SP and RQ.
💡 Practice unlimited UPSC CSE PYQs + AI-tracked progress on each topic. Sign up free →
Want more UPSC CSE practice?
Free daily 10-Q quiz · adaptive mocks · 4,000+ verified PYQs · AI doubt solver in Hindi + English