Logical Deduction

Directions to SolveIn each question below are given two statements followed by two conclusions numbered I and II. You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusion and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.Give answer:
  • (A) If only conclusion I follows
  • (B) If only conclusion II follows
  • (C) If either I or II follows
  • (D) If neither I nor II follows and
  • (E) If both I and II follow.

Q1: Statements: All roads are waters. Some waters are boats. Conclusions:
  1. Some boats are roads.
  2. All waters are boats.

A Both I and II follow

B Only conclusion I follows

C Neither I nor II follows

D Only conclusion II follows

E Either I or II follows

ANS:D - Neither I nor II follows

Explanation: The first premise is A type and distributes the subject. So, the middle term 'waters' which forms its predicate, is not distributed. The second premise is I type and does not distribute either subject or predicate. So, the middle term 'waters' forming its subject is not distributed. Since the middle term is not distributed even once in the premises, no definite conclusion follows.



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