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Logical Deduction · Discussion forum

Logical Deduction - Section 4 Question 10 – answer, explanation & discussion

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Question 10 Back to Exercise

Statements: Some dogs are rats. All rats are trees. Some trees are not dogs.

Conclusions:

I.   Some trees are dogs.

II.  All dogs are trees.

III. All rats are dogs.

IV. No tree is dog.

  • A None follows
  • B Only I follows Correct
  • C Only I and II follow
  • D Only II and III follow
  • E All follow
Correct Answer: Option B

Some dogs are rats. All rats are trees.

Since one premise is particular, the conclusion must be particular and should not contain the middle term. So, it follows that 'Some dogs are trees'. I is the converse of this conclusion and so it holds.

All rats are trees. Some trees are not dogs.

Since the middle term 'trees' is not distributed even once in the premises, no definite conclusion follows.

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