# Logical Reasoning - Logical Deduction - Discussion

Discussion Forum : Logical Deduction - Section 3 (Q.No. 1)
Directions to Solve

In each of the questions below are given three statements followed by three conclusions numbered I, II and III, You have to take the given statements to be true even if they seem to be at variance from the commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

1.

Statements:

All fruits are vegetables. All pens are vegetables. All vegetables are rains.

Conclusions:

1. All fruits are rains.
2. All pens are rains.
3. Some rains are vegetables.

None follows
Only I and II follow
Only II and III follow
Only I and III follow
All follow
Explanation:

III is the converse of the third premise and so it holds.

All fruits are vegetables. All vegetables are rains.

The conclusion must be universal affirmative and should not contain the middle term.

So, it follows that 'All fruits are rains'. Thus, I follows.

All pens are vegetables. All vegetables are rains.

Clearly, it follows that 'All pens are rains'. Thus, II follows.

Discussion:
5 comments Page 1 of 1.

Savita said:   7 years ago

Felis said:   10 years ago
I disagree that III. Conclusion is true. Categories 'fruits', 'vegetables' and 'pens' can be empty and it wouldn't disturb I. And II. Being truth, but if there's no 'vegetables' at all, none rains can be vegetables.

Preeti said:   10 years ago
How 3rd conclusion holds true?