Question
In the following question below are given some statements followed by some conclusions based on those statements. Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusion logically follows the given statements.
Statements:
Some L are
M.
All M are O.
No L is N.
Conclusions:
I. Some O are not N.
II. No M is N.
III. Some O is
L.
Solution
Some L are M (I) + All M are O (A) → Some L are O (I) → Conversion → Some O are L (I) + No L is N (E) → Some O are not N. Hence conclusion I follows.
Some L are M (I) → Conversion → Some M are L (I) + No L is N (E) → Some M are not N (O) + No N is L (E) → No conclusion. Hence conclusion II does not follow.
Some L are M (I) + All M are O (A) → Some L are O (I) → Conversion → Some O are L (I). Hence conclusion III follows.
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