Statements: (A) Some cats are dogs. (B) Some dogs are stones. Conclusions: I. No cat is stone. II. All dogs are stones. III. Some stones are cats. IV. No dog is cat.

Only I and III follow
Only II and III follow
Only I, III and IV follow
None follows

Correct Answer: None follows

Explanation:

Both the Premises are Particular Affirmative (I-type).
No Conclusion follows from the two Particular Premises.
Conclusions I and III form Complementary Pair. Therefore, either Conclusion I or III follows. Considering the given Options we can select option (4) as the answer.

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More Questions from Syllogism

Statements: A. All girls are proud. B. All proud will be humiliated one day. Inferences: I. All girls will be humiliated one day. II. Some girls will be humiliated one day.
Statements: P. All men are women. Q. All women are crazy. Conclusions: I. All men are crazy. II. All the crazy are men. III. Some of the crazy are men. IV. Some of the crazy are women.
Statements: All Americans are English speaking. No Eskimos are English speaking. Conclusions: I. No Eskimos are Americans. II. No English-speakers are Eskimos.
Statements: (a) All frogs are tortoises. (b) No tortoise is a crocodile. Conclusions: I. No crocodile is a frog. II. No frog is a crocodile.
Statements: (a) All dogs are books (b) All books are pictures. Conclusion: I. All dogs are pictures. II. All books are dogs. III. All pictures are dogs. IV. Some pictures are books.
Statements: (a) All books are boxes. (b) All boxes are pens. (c) All pens are papers. Conclusions: I. Some papers are books. II. All books are papers. III. Some pens are books. IV. All boxes are books.
Statements: Some teachers are students. All students are girls. Conclusions: (I) All teachers are girls. (II) Some girls are teachers. (III) Some girls are students. (IV) All students are teachers.
Statement: (a) All students like excursions. (b) Some students like laboratory experiments. Conclusions: (I) Students who like laboratory experiments also like excursions. (II) Some students do not like laboratory experiments but like excursions.
Statements: All hens are cocks. No cock is black. Conclusions: I. All cocks are hens. II. No hen is black.
Statements: Dogs have four legs. Tables have four legs. Conclusions I. Tables are dogs. II. Dogs are tables.

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