Question
Three 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: Some Cupboards are Cabinets. All Cabinets are Drawers. No Drawer is Mirror. Conclusions: I. No Cabinet is Mirror. II. Some Drawers are Cupboards. III. Some Cupboards are Mirror.Solution
All Cabinets are Drawers (A) + No Drawer is Mirror (E) → No Cabinets is Mirror (E). Hence conclusion I follows. Some Cupboards are Cabinets (I) + All Cabinets are Drawers (A) → Some Cupboards are Drawers (I) → Conversion → Some Drawers are Cupboards (I). Hence conclusion II follows. Some Cupboards are Cabinets (I) + All Cabinets are Drawer (A) → Some Cupboards are Drawers (I) + No Drawer is Mirror (E) → Some Cupboards are not Mirror (O). Hence conclusion III does not follow.
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