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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: Some mountains are hillocks. Some mountains are rivers. Some mountains are valleys. Conclusions:
  1. All mountains are either hillocks or rivers or valleys.
  2. No valley is river.
  3. Some river are valleys.

A None follows

B Only I follows

C Only either II or III follows

D Only III follows

E None of these

ANS:C - Only either II or III follows

Explanation: Since each combination of premises shall contain two particular premises, no definite conclusion can be drawn. However, II and III are statements involving the extreme terms of the last two premises and form a complementary pair. Thus, either II or III follows.



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