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Logical Deduction · Discussion forum

Logical Deduction - Section 2 Question 2 – answer, explanation & discussion

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Question 2 Back to Exercise

Statements: Some houses are offices. Some offices are schools.

Conclusions:

I.   Some schools are houses.

II.  Some offices are houses.

III. No house is school.

IV. Some schools are offices.

  • A Only II and III follow
  • B Only I and IV follow
  • C Only either III or IV, and I follow
  • D Only II and IV and either I or III follow. Correct
Correct Answer: Option D

Since both the premises are particular, no definite conclusion follows. However, I and III involve only the extreme terms and form a complementary pair. So, either I or III follows. II is the converse of the first premise while IV is the converse of the second premise. Thus, both of them hold.

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