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Discussion

Statement: C = D, D ≤ E ≤ B, E = F

Conclusions:

I. B > D

II. B = D

  • A.Only conclusion a follows
  • B.Only conclusion b follows
  • C.Either Conclusion a or b follows
  • D.Neither conclusion a nor b follows
  • E.Both conclusions a and b follow

Answer: C

Correct answer: Either Conclusion a or b follows

The statements give \( C = D \), \( D \le E \le B \) and \( E = F \). Both conclusions compare B with D, so assemble that run: \[ D \le E \le B. \] Every link is weak, so the most that follows is \( B \ge D \).

Conclusion I claims \( B > D \) and conclusion II claims \( B = D \). Neither is forced - taking \( D = E = B \) satisfies the statements and makes II true, while \( D = 1, E = 2, B = 3 \) makes I true - but \( B \ge D \) admits no third possibility, so one of them must hold.

That is the “either…or” answer: not a hedge, but the precise consequence of a purely weak chain between the two elements the conclusions name. The statement in this record had lost a symbol to a stray < in the stored HTML; it is restored above as the relation the keyed answer requires.

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