Question
Read the given statements and conclusions carefully.
Assuming that the two statements are given followed by three conclusions numbered I, II and III. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: All rivers are hills. All hills are mountains. Conclusions: I. Some mountains are hills. II. Some rivers are not mountains. III. Some mountains are rivers.Solution
All hills are mountains (A) → Conversion → Some mountains are hills (I). Hence conclusion I follows.
All rivers are hills (A) + All hills are mountains (A) → All rivers are mountains (A) → Conversion → Some mountains are rivers (I). Hence conclusion II does not follow but conclusion III follows.
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