Consider the following statements:
Every red is blue. Every blue is green. Every green is yellow.
Which of the following statements denoted by P, Q and R are correct?
- P.Every blue is yellow.
- Q.Every red is green.
- R.Every red is yellow.
Select the answer using the code given below.
Answer & explanation
Answer: (d) P, Q and R
The statements form a chain of sets: red inside blue, blue inside green, green inside yellow. Anything inside a smaller set is inside every larger set, so all three conclusions follow.
- Red ⊂ Blue ⊂ Green ⊂ Yellow.
- P: Blue ⊂ Green ⊂ Yellow — follows.
- Q: Red ⊂ Blue ⊂ Green — follows.
- R: Red ⊂ … ⊂ Yellow — follows.
- ✓ P Every blue is green and every green is yellow.
- ✓ Q Every red is blue and every blue is green.
- ✓ R Following the whole chain, every red is yellow.
Remember · 'Every A is B, every B is C' gives 'every A is C'; draw nested circles to see it at once.
Question and answer: UPSC's provisional GS Paper II (2026, Series A) — paper ↗ · answer key ↗. Explanation: Minimalist IAS, checked 30 Sept 2026 (how we verify). ·