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Discussion

Statements: P< A ≤ C ≥ K; C ≤ O < L; R ≤ N ≤ C
Conclusions:

I . A = K 

II. R < L

  • A.Only Conclusion I is true.
  • B. Only Conclusion II is true.
  • C.Either Conclusion I or II is true
  • D.Neither conclusion I nor II is true.
  • E.Both conclusions I and II are true

Answer: B

Correct answer: Only Conclusion II is true.

The statements are \( P < A \le C \ge K \), \( C \le O < L \) and \( R \le N \le C \).

II. \( R < L \): assemble the run through C. \( R \le N \le C \le O < L \) points one way throughout, and the final link is strict, so \( R < L \). True.

I. \( A = K \): A and K both hang below C - \( A \le C \) and \( K \le C \) - on separate branches. That permits them to be equal but does not require it: with \( C = 10 \), \( A = 10, K = 3 \) satisfies every statement, and so does \( A = 3, K = 10 \). Not determined.

Only II follows. Conclusion I is worth pausing on, because an equality conclusion can only be established by an unbroken run of \(=\) or \(\le\)-and-\(\ge\) links that pin the two values together; two elements merely capped by the same third are never forced into equality.

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