Question
Statements:All jackets are collars. All collars
are shirts. All chains are shirts. Conclusions:I. No collar is chain. II. Some collars are chains. III. Some shirts are jackets. IV. Some chains are jackets. In each question below are given some statements followed by four conclusions numbered I, II, III and IV are given. You have to take the three given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.Solution
All collars are shirts(A) + Some shirts are chains(I) ⇒ No conclusion. Hence conclusion I and II does not follow but they will make a complementary pair. Hence either conclusion I or II follows. All jackets are collars(A) + All collars are shirts(A) ⇒ All jackets are shirt(A) ⇒ Conversion ⇒ Some shirts are jackets(I). Hence conclusion III follows. All jackets are collars(A) + All collars are shirts(A) ⇒ All jackets are shirts(A) + Some shirts are chains(I) ⇒ No conclusion. Hence conclusion IV does not follow. 
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