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Logical Deduction - Section 3 Question 2 – answer, explanation & discussion

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Question 2 Back to Exercise

Statements: No rabbit is lion. Some horses are lions. All rabbits are tables.

Conclusions:

I.   Some tables are lions.

II.  Some horses are rabbits.

III. No lion is table.

  • A None follows
  • B Only either I or III follows Correct
  • C Only II and III follow
  • D Only III follows
  • E None of these
Correct Answer: Option B

Some horses are lions. No rabbit is lion.

Since one premise is particular and the other negative, the conclusion must be particular negative (O-type) and should not contain the middle term.

So, it follows that 'Some horses are not rabbits'.

All rabbits are tables. No rabbit is lion.

Since the middle term 'rabbits' is distributed twice, the conclusion must be particular.

Since one premise is negative, the conclusion must be negative. So, it follows that 'Some tables are not lions'. Since I and III involve the same terms and form a complementary pair, so either I or III follows.

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