Question
Statements: Some tubes are paste. All
paste are colgate. Some colgate are mouthwash Conclusion: I. Some tubes are mouthwash. II. Some tubes are colgate. III. Some colgate are paste. IV. No mouthwash is tube In each question below 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
Some tubes are paste(I) + All paste are colgate(A) ⇒ Some tubes are colgate(I) + Some colgate are mouthwash(I) ⇒ No conclusion. Hence neither conclusion I nor IV follows but they will form a complementary pair. Hence either conclusion I or IV follows. Some tubes are paste(I) + All paste are colgate(A) ⇒ Some tubes are colgate(I). Hence conclusion II follows. All paste are colgate(A) ⇒ Convserion ) ⇒ Some colaget are pastes(I). Hence conclusion III follows. ALTERNATE SOLUTION: 
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