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UPSC CSE 2025 · PYQ · Inequalities / Coded Relations · medium

Consider the following statements : I. If A ≤ B > C < D > E > F ≥ G = H; then B is always greater than E. II. If P > Q = R ≥ S = T ≤ U = V > W; then S is always less than V. Which of the statements given above is/are correct ?

  1. A.I only
  2. B.II only
  3. C.Both I and II
  4. D.Neither I nor II✓ Correct

Explanation

Statement I: From B > C < D > E, we cannot establish a definite relationship between B and E since the chain breaks at '<' (C < D). B could be greater than, less than, or equal to E. So I is not always true. Statement II: From S = T ≤ U = V, we get S ≤ V, meaning S could be equal to V, not necessarily strictly less than V. So II is not always true. Hence neither statement is correct.
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