Three statements are followed by four conclusions numbered I, II, III and IV. You have to consider these statements to be true, even if they seem at variance from commonly known facts. Decide which of the given conclusions logically follow(s) from the statements. Statements: 1. All parrots are ducks. 2. No ducks is a kite. 3. All falcons are kites. Conclusions : I. Some falcons are parrots. II. No kite is a parrot. III. No parrot is a falcon. IV. Some kites are parrots.
Three statements are followed by four conclusions numbered I, II, III and IV. You have to consider these statements to be true, even if they seem at variance from commonly known facts. Decide which of the given conclusions logically follow(s) from the statements. Statements: 1. All parrots are ducks. 2. No ducks is a kite. 3. All falcons are kites. Conclusions : I. Some falcons are parrots. II. No kite is a parrot. III. No parrot is a falcon. IV. Some kites are parrots. Correct Answer Only conclusions II and III follow.
The least possible Venn diagram is:
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Conclusions:
I. Some falcons are parrots. → False (As, All parrots are ducks, No ducks is a kite and All falcons are kites → No falcons is parrot)
II. No kite is a parrot. → True (As, All parrots are ducks and No ducks is a kite → No kite is a parrot)
III. No parrot is a falcon. → True (As, All parrots are ducks, No ducks is a kite and All falcons are kites → No parrot is a falcon)
IV. Some kites are parrots. → False (As, All parrots are ducks and No ducks is a kite → No kite is parrot)
Hence, only conclusions II and III follow.