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Logical Deduction

Directions to SolveIn each of the questions below are given three statements followed by three conclusions numbered I, II and III, You have to take the given statements to be true even if they seem to be at variance from the commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Q1: Statements: All dolls are windows. All bottles are windows. All cars are bottles. Conclusions:
  1. All cars are windows.
  2. Some cars are dolls.
  3. Some windows are cars.

A Only I and II follow

B Only II and III follow

C Only I and III follow

D All follow

E None of these

ANS:C - Only I and III follow

Explanation: All cars are bottles. All bottles are windows. Since both the premises are universal, the conclusion must be universal and shouldn't contain the middle term, So, it follows that 'All cars are windows'. Thus, I follows. Also, III is the converse of this conclusion and so it holds. All dolls are windows. All bottles are windows. Since the middle term 'windows' is not distributed even once in the premises, no definite conclusion follows. All cars are windows. All bottles are windows. Again, the middle term 'windows' is not distributed even once in the premises. So, no definite conclusion follows.



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