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<u>Statements :</u> Some bricks are trees. All trees are pens. All pens are boats.<br><br><u>Conclusions :</u><br>I. Some boats are bricks.<br>II. Some pens are bricks.<br>III. Some trees are bricks.<br>IV. Some bricks are boats.

Correct Answer: All follow
III is the converse of the first premise and so it holds.

Some bricks are trees. All trees are pens.

Since one premise is particular, the conclusion must be particular and should not contain the middle term. So, it follows that 'Some bricks are pens'. II is the converse of this conclusion and so it holds.

All trees are pens. All pens are boats.

Since both the premises are universal and affirmative, the conclusion must be universal affirmative and should not contain the middle term. So, it follows that 'All trees are boats'.

Some bricks are trees. All trees are boats.

Since one premise is particular, the conclusion must be particular and should not contain the middle term. So, it follows that 'Some bricks are boats'. Thus, IV follows. I is the converse of this conclusion and so it also holds.

Statements : Some pens are books. Some books are pencils.

Conclusions :
I. Some pens are pencils.
II. Some pencils are pens.
III. All pencils are pens.
IV. All books are pens.

In a box, there are 5 black pens, 3 white pens and 4 red pens. In how manyways can 2 black pens, 2 white pens and 2 red pens can be chosen?

Read the statements and select a conclusion from the given alternatives. Statements : All pens are pencils. Some pencils are erasers. Some erasers are ropes. All ropes are tents. Conclusions : I. Some tents are trams
II. Some ropes are pens
III. Some erasers are pens
IV. Some pencils are pens

Statements : All roads are waters. Some waters are boats.

Conclusions :
I. Some boats are roads.
II. All waters are boats.

Statements : All poles are guns. Some boats are not poles.

Conclusions :
I. All guns are boats.
II. Some boats are not guns.

Statement : Some papers are pens. All the pencils are pens.

Conclusion :
I. Some pens are pearls.
II. Some pens are papers.

Statements : Some papers are pens. All the pencils are pens.

Conclusions :
I. Some pens are pencils.
II. Some pens are papers.

Statements : Some papers are pens. Some pencils are pens.

Conclusions :
I. Some pens are pencils.
II. Some pens are papers.

In each of the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements.

Statements:

I. Some pens are pencils.
II. All pencils are erasers.

Conclusions:

I. Some pens are erasers.
II. No pens are erasers.
III. Some erasers are pencils

In the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to
be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements.
Statements:
I. Some pens are pencils.
II. All pencils are erasers.
Conclusions:
I. Some pencils are not pens.
II. Some erasers are not pens.