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Two statements are given followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: All pigeons are crows. No crow is a bird. Conclusions: I. Some crows are pigeons. II. Some pigeons are birds. III. No pigeon is a bird.

Two statements are given followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: All pigeons are crows. No crow is a bird. Conclusions: I. Some crows are pigeons. II. Some pigeons are birds. III. No pigeon is a bird. Correct Answer Only conclusions I and III follow

Statements:

All pigeons are crows.

No crow is a bird.

The least possible diagram for the given statements is as follows

[ alt="F1 PujaT Madhuri 25.02.2022 D1" src="//storage.googleapis.com/tb-img/production/22/02/F1_PujaT_Madhuri_25.02.2022_D1.png" style="width: 193px; height: 80px;">

Conclusions:

I. Some crows are pigeons → True (because all pigeons are crows and so some crows are also pigeons)

II. Some pigeons are birds → False (because all pigeons are crows and no crow is a bird so no pigeon is also a bird)

III. No pigeon is a bird → True (because all pigeons are crows and no crow is a bird so no pigeon is also a bird)

Hence, “Only conclusions I and III follow”.

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