Question:

Identify the set of three statements that are logically related.
A. All falcons fly high.
B. All falcons are blind.
C. All falcons are birds.
D. All birds are yellow.
E. All birds are thirsty.
F. All falcons are yellow.

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In syllogisms, if "All X are Y" and "All Y are Z" are true, then "All X are Z" must also be true. This is the transitive property of categorical logic.
Updated On: Aug 5, 2025
  • ABC
  • CDF
  • DEF
  • BCA
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The Correct Option is B

Solution and Explanation

C — "All falcons are birds." — This is the starting classification statement linking falcons to the larger category of birds.
D — "All birds are yellow." — This extends the property of color to all birds, which by inclusion must also apply to falcons.
F — "All falcons are yellow." — This is the logical conclusion from C and D: since all falcons are birds and all birds are yellow, it follows that all falcons are yellow.
Thus, CDF is a perfectly consistent syllogism chain:
Premise 1 (C) + Premise 2 (D) → Conclusion (F).
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