Question
Statements: All Bottles are Glasses. All
Glasses are Bowls. Some Cups are Bowls. Conclusions: I. Some Cups are Glasses. II. All Bottles are Bowls. III. Some Bottles are not Cups. In the question below there are three statements followed by three conclusions I, II and III. You have to take the three given statements to be true even if they seem to be at variance from commonly known facts and then decide which of the given conclusions logically follows from the three statements disregarding commonly known facts.Solution
All Glasses are Bowls (A) + [Some Cups are Bowls (I) β Conversion] β Some Bowls are Cups (I) β No conclusion. Hence conclusion I does not follow. All Bottles are Glasses (A) + All Glasses are Bowls (A) β All Bottles are Bowls (A). Hence conclusion II follows. All Bottles are Glasses (A) + All Glasses are Bowls (A) β All Bottles are Bowls (A) + [Some Cups are Bowls (I) β Conversion] β Some Bowls are Cups (I) β No conclusion. Hence conclusion III does not follow.
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