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UPSC CSE 2026 · PYQ · Syllogism / Logical Deduction · easy

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.

  1. A.P and Q only
  2. B.Q and R only
  3. C.P and R only
  4. D.P, Q and R✓ Correct

Explanation

Given: red ⊂ blue ⊂ green ⊂ yellow. P: 'Every blue is yellow' — since blue ⊂ green ⊂ yellow, every blue is yellow. ✓ Q: 'Every red is green' — since red ⊂ blue ⊂ green, every red is green. ✓ R: 'Every red is yellow' — since red ⊂ blue ⊂ green ⊂ yellow, every red is yellow. ✓ All three statements P, Q, R are correct by transitivity of the subset relations.
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