Statement: Some doors are walls. All walls are floors. All floors are rooms. Some rooms are windows. Conclusions: I. All walls are rooms. II. Some rooms are doors. III. Some rooms are doors. IV. Some floors are doors.

None follows
Only I & II follows
Only II & III follows
Only I, III & IV follows

Correct Answer: Only I, III & IV follows

Explanation:

All walls are floors + All floors are rooms = A + A = A = All walls are rooms Hence I follows. Some doors are walls + All walls are floors = I + A = I = Some doors are rooms → conversion → Some rooms are doors (I). Hence II follows. Conversion of gives us III. Some doors are walls + All walls are floors = I + A = I = Some doors (I) Hence IV follows.

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More Questions from Syllogism

Statement: Some spoons are forks. Some forks are bowls. All bowls are plates. Some plates are utensils. Conclusions: I. Some utensils are forks. II. Some plates are forks. III. Some plates are spoon. IV. Some utensils are spoons.
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