Two statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
I. All match-boxes are torches.
II. All torches are lanterns.
Conclusions:
I. Some torches are match-boxes.
II. Some lanterns are match-boxes .
III. No match-box is lantern.
Solution
Conclusion: I. Some torches are match-boxes.
This conclusion will follow from the above-given diagram.
Conclusion: II. Some lanterns are match-boxes.
This conclusion will also follow from the above-given diagram.
Conclusion: III. No match-box is lantern.
There is not any negative relation given in the statements. So this conclusion will not follow.
Hence Conclusions I and II follow.
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