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Discussion

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

I. O ≥ R 

II. P ≤ O

  • 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: A

Correct answer: Both conclusions I and II are true.

The statements are \( P < A \le C \ge K \), \( C \le O < L \) and \( R \le N \le C \). C is the junction, and both conclusions happen to route through it in a single direction.

I. \( O \ge R \): the run \( R \le N \le C \le O \) points one way at every link, giving \( R \le O \), which is what the conclusion asks. True.

II. \( P \le O \): the run \( P < A \le C \le O \) also points one way, and its opening link is strict, so in fact \( P < O \). A strict inequality satisfies the weak one the conclusion states. True.

Both follow. Note that the same statements, asked about A and K, would give nothing - those two hang below C on separate branches. It is the routing of the question, not the statements alone, that decides.

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