Statements:All fruits are vegetables. All pens are vegetables. All vegetables are rains.
Conclusions:
I. All fruits are rains.
II. All pens are rains.
III. Some rains are vegetables.

None follows

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Only I and II follow

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Only II and III follow

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Only I and III follow

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All follow

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Solution

The correct option is E All follow
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.

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Similar questions

Statements

All vegetables are fruits.

All pens are fruits.

All fruits are rains.

Conclusions

I.All vegetables are rains.

II.All pens are rains.

III.Some rains are fruits.

Choose the correct option about conclusion drawn from the statements given below

Statements:

All fruits are vegetables.

All pens are vegetables.
All vegetables are rains.
Conclusions:
I. All fruits are rains.
II. All pens are rains.
III. Some rains are vegetables.

Find the conclusions can be concluded from given statement

Statement I - Some grains are pulses.
Statement II - All vegetables are fruits.
Statement III - All pulses are vegetables.
Conclusion A - Some grains are vegetables.
Conclusion B - All vegetables are pulses
Conclusion C - All fruits are grains.
Conclusion D - All vegetables are grains

Statements:
All buildings are rains.
All papers are buildings.
All dogs are papers.
Conclusions:
I. All dogs are rains.
II. Some papers are rains.
III. Some rains are buildings.
IV. Some rains are papers.

Statements:

Some mangoes are fruits.

Some fruits are red.

All red are vegetables.

Conclusions:

I. No mango is red.

II. Some mangoes are red.

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Statements:All fruits are vegetables. All pens are vegetables. All vegetables are rains.Conclusions:I. All fruits are rains.II. All pens are rains.III. Some rains are vegetables.

Statements:All fruits are vegetables. All pens are vegetables. All vegetables are rains.
Conclusions:
I. All fruits are rains.
II. All pens are rains.
III. Some rains are vegetables.