Logical Reasoning - Logical Thinking

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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2. Statement: If all men are mortal, and if Rama is a man, Rama is also mortal

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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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4. If the statement ‘some men are cruel’ is false, which of the following statement/s is/are true?
I. All men are cruel.
II. No men are cruel.
III. Some men are not cruel.
Codes:

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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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