Since both the premises are universal and one premise is negative, the conclusion must be universal negative. Also, the conclusion should not contain the middle term. So, 1 follows.
However, 2 is the converse of the second premise and thus it also holds.
(A), (B) and (D) are irrelevant as nothing is mentioned about them. The district administration has issued a circular to make the farmers aware of hazards that indiscriminate use of pesticides poses to ground water and plead them to refrain from the same. Hence (3) is an assumption in the given statement.
Majority of the teachers of the colleges signed a joint petition to the university complaining the disturbances.
Since one premise is negative , the conclusion must be negative. so 2 does not follow and only 1 follows
All snakes are trees. Some trees are roads.
Since the middle term is not distributed even once in the premises,so no conclusion follows
Some trees are roads. All roads are mountains
Since one primise is particular,the conclusion must be particularand should'nt contain the middle term. So,it follows that 'Some trees are mountains'. 3 is the converse of this statement and so it holds.
All snakes are trees. Some trees are mountains.
Since the middle term is not distributed even once in the preises, so no definite conclusion follows
Since each combination has of premises has 2 particular premises, so no defenite conclusion follows
2 and 3 are the satements involving the extreme terms of the last 2 premises and form a complementary pair. Thus either 2 or 3 follows
Some hills are rivers. Some rivers are deserts.
Since both the premises are particular, no defenite conclusion follows.
Some rivers are deserts. All deserts are roads
Since one premise is particular,the conclusion must be particular and should'nt contain the middle term. Since it follows that 'Some rivers are roads'. 1 is the converse of this conclusion and so it holds.
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