Question

Statements:
Some fruits are flowers.
No flower is a boat.
All boats are rivers.
Conclusions:
I. Some fruits are rivers.
II. Some rivers are boats.
III. Some rivers are fruits.
IV. Some flowers are fruits.

• A. Only conclusions I and III follow
• B. Only conclusions II and III follow
• C. Only conclusions II and IV follow
• D. All the conclusions follow
• E. None of these

Answer 1

The correct option is C

Only conclusions II and IV follow

IV is the converse of the first premise and so it holds.
II is the converse of the third premise, and so it holds.

Some fruits are flowers. No flower is a boat.

Since one premise is particular and one negative, the conclusion must be both particular & negative and should not contain the middle term.
So, it follows that 'Some fruits are not boats'.

No flower is a boat. All boats are rivers

Since the middle term is distributed twice, the conclusion can not universal.
Here, since one premise is negative, the conclusion must be negative and should not contain the middle term.
So, it follows that 'Some flowers are not rivers'.

Thus, only II and IV follow.