Statement: Some rivers are hills. No hill is taxi. All taxis are buses. Conclusions: I. Some buses are rivers. II. Some taxis are rivers. III. No bus is river.

Question

Accepted Answer

Some rivers are hills + No hill is taxi = I + E = O = Some rivers are not taxis Hence II does not follow. Again, Since O-type statements can't be combined, neither I nor III follows. But the two form a complementary E- I pair, Hence either I or III follows.

Statement: Some rivers are hills. No hill is taxi. All taxis are buses. Conclusions: I. Some buses are rivers. II. Some taxis are rivers. III. No bus is river.

Discussion & Comments