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Given the statement P ≤ Q < R > S, consider the conclusions: (i) P < R and (ii) Q > S. Which of the following is correct?

Competition practiceInequalities
  • AOnly conclusion (ii) is true
  • BNeither conclusion is true
  • CBoth conclusions are true
  • DOnly conclusion (i) is true

Step-by-Step Solution

P ≤ Q < R gives P < R, but R > S leaves no defined relation between Q and S, so (ii) need not hold.
Answer: D) Only conclusion (i) is true

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