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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 trains are buses. No room is bus. All boats are rooms. Conclusions:
  1. No boat is train.
  2. No bus is boat.
  3. No train is room.

A None follows

B Only I and II follow

C Only II and III follow

D Only I and III follow

E All follow

ANS:E - All follow

Explanation: All trains are buses. No room is bus. Since both the premises are universal and one premise is negative, the conclusion must be universal negative (E-type) and should not contain the middle term. So, it follows that 'No train is room'. Thus, III follows. All boats are rooms. No room is bus. As discussed above, it follows that 'No boat is bus'. II is the converse of this conclusion and so it holds. All trains are buses. No boat is bus. Again, it follows that 'No train is boat'. I is the converse of this conclusion and so it holds.



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