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Logical Deduction - Section 3 Question 6 – answer, explanation & discussion

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Question 6 Back to Exercise

Statements: Some pictures are frames. Some frames are idols. All idols are curtains.

Conclusions:

I.   Some curtains are pictures.

II.  Some curtains are frames.

III. Some idols are frames.

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

III is the converse of the second premise and so it holds.

Some pictures are frames. Some frames are idols.

Since both the premises are particular, no definite conclusion follows.

Some frames are idols. All idols are curtains.

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

Some pictures are frames. Some frames are curtains.

Since both the premises are particular, no definite conclusion can be drawn.

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