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Two statements are given, followed by three conclusions, I, II and III. Consider the statements to be true even if they seem to be at variance with co
Question

Two statements are given, followed by three conclusions, I, II and III. Consider the statements to be true even if they seem to be at variance with commonly known facts, and decide which of the given conclusions, if any, follow (s) from the given statements.
Statement 1: No boats are ships.
Statement 2: All ship are steamers
Conclusion I: Some boats are steamers.
Conclusion II: No ships are boats.
Conclusion III: Some steamers are ships.

A.

Only conclusions II and III follow.

B.

All the conclusions, I, II and III, follow.

C.

Only conclusions I and II follow.

D.

Only conclusions I and III follow.

Correct option is A


From Statement 1: No boats are ships ⇒ “ships” and “boats” do not overlap.
From Statement 2: All ships are steamers ⇒ “ships” is a subset of “steamers.”
Conclusion I: Some boats are steamers. There is no information given that boats can be steamers. “No boats are ships” + “All ships are steamers” do not imply anything about whether boats overlap with steamers or not. This is not necessarily true.
Conclusion II: No ships are boats. This is just a restatement of “No boats are ships.” So, this is true.
Conclusion III: Some steamers are ships. Since all ships are steamers, it implies that “at least some steamers are ships.” That is true.
Hence, only II and III follow.

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