Logical Reasoning - Logical Reasoning Master Assignment

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1. Which of the following statements are mutually inconsistent?
I. Mostly poets are not egoistic.
II. Mostly poets are humble.
III. Some poets are egoistic.
IV. Some poets are not non-egoistic.
Codes:

  • Option : C
  • Explanation : The logical form of statement I is ‘some poets are not egoistic’.
    The opposite of egoistic is not ‘humble’ or ‘not egoistic’. So I and III are mutually inconsistent.
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3. If ‘no politician is dishonest’ is false, then the statement ‘some politicians are dishonest’ shall be

  • Option : A
  • Explanation : Please refer to ‘square of opposition’. If a statement is false, its contradictory is taken to be true. The contradictory of ‘No politician is dishonest’ (E type) is ‘Some politicians are dishonest’ (I type). So it is true.
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5. Proposition
No teacher is on time for the class.
Conclusions

  • Option : A
  • Explanation : As there is a single proposition, we can apply immediate inference to draw conclusion. This is an E-type proposition with ‘teacher’ as subject and ‘(persons) on time for the class’ as the predicate which can conclude only E type. After conversion, ‘persons who are on time’ becomes subject, and teacher becomes predicate. So, option (a) is the answer.
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