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

Syllogism Question 1:

Statements: 

All chalks are pens.

Some erasers are pens.

All erasers are books.

Conclusions:

I. Some erasers being chalk is a possibility

II. Some books being chalk is a possibility.

A. Only I follows

B. Only II follows

C. Either I or II follows

D. Neither I nor II follows

E. Both I and II follow

We will first draw a simplistic version of the Venn Diagram and then visualize the possibilities.

Syllogisms SE3 Question 1 Venn Diagram

Clearly, both the conclusions follow. So, E is the correct option.

Syllogism Question 2:

Statements: 

All trees are plants.

Some plants are leaves.

Some leaves are flowers. 

Conclusions:

I. Some trees being leaves is a possibility.

II. Some trees are flowers.

A. Only I follows

B. Only II follows

C. Either I or II follows

D. Neither I nor II follows

E. Both I and II follow

Venn diagram representation of the statements:

Syllogisms SE3 Question 2 Venn Diagram

Clearly, only conclusion I follows. So, A is the correct option.

Syllogism Question 3:

Statements: 

All cats are dogs.

No dog is a lion.

Some lions are tigers.

Conclusions:

I. Some lions being cats is a possibility.

II. Some tigers being cats is a possibility.

III. All cats being tigers is not a possibility.

A. Only I and II follow

B. Only II and III follow

C. Only I and III follow

D. Only II follows

E. All follow

Venn diagram representation of the statements:

Syllogisms SE3 Question 3 Venn Diagram

Conclusions:

I. Some lions being cats is a possibility.

Since all cats are dogs and no lion is a dog, this conclusion does not follow.

II. Some tigers being cats is a possibility.

Clearly, this conclusion follows.

III. All cats being tigers is not a possibility.

It is possible for all cats to be tigers. So, this conclusion does not follow as well.

Therefore, only conclusion II follows. So, D is the correct option.

Syllogism Question 4:

Statements: 

All cats are dogs.

No dog is a lion.

Some lions are tigers.

Conclusions:

I. All tigers being cats is a possibility.

II. All cats being tigers is a possibility.

A. Only I follows

B. Only II follows

C. Either I or II follows

D. Neither I nor II follows

E. Both I and II follow

Venn diagram representation of the statements:

Syllogisms SE3 Question 3 Venn Diagram

Conclusions:

I. All tigers being cats is a possibility.

The tigers which are lions cannot be cats. So, this conclusion does not follow.

II. All cats being tigers is a possibility.

It is possible for all cats to be tigers. So, this conclusion follows.

Therefore, only conclusion II follows. So, B is the correct option.

Syllogism Question 5:

Statements: 

Some stars are planets.

Some planets are moons.

No moon is a sun.

Conclusions:

I. All the suns being stars is a possibility.

II. All the stars being suns is a possibility.

A. Only I follows

B. Only II follows

C. Both I and II follow

D. Neither I nor II follows

E. Either I or II follows

Venn Diagram Representation of the statements:

Syllogisms SE3 Question 5 Venn Diagram

Both the conclusions follow. So, C is the correct option.

I. All the suns being stars is a possibility.

Venn Diagram for Conclusion 1II. All the stars being suns is a possibility.

Venn Diagram for Conclusion 2

Syllogism Question 6:

Statements: 

All ropes are sticks.

No stick is pencil.

Some pencils are knives.

Conclusions:

I. Some pencils being ropes is a possibility.

II. All the sticks being knives is a possibility.

A. Only I follows

B. Only II follows

C. Both I and II follow

D. Neither I nor II follows

E. Either I or II follows

Venn Diagram Representation of the statements:

Syllogisms SE3 Question 6 Venn Diagram

Conclusions:

I. Some pencils being ropes is a possibility.

Since all ropes are sticks and no stick is a pencil, this conclusion does not follow.

II. All the sticks being knives is a possibility.

This conclusion follows.

Venn Diagram for Conclusion 2

Therefore, only conclusion II follows. So, B is the correct option.

Syllogism Question 7:

Statements: 

Some rocks are books.

All books are branches.

All branches are trees.

Some trees are plants.

Conclusions:

I. All trees being rocks is a possibility.

II. Some plants are branches.

III. All branches being books is a possibility.

A. Only I follows

B. Only III follows

C. Both I and III follow

D. Both II and III follow

E. Only II follows

Venn Diagram Representation of the statements:

Syllogisms SE3 Question 7 Venn Diagram

Conclusions:

I. All trees being rocks is a possibility.

This conclusion follows.

II. Some plants are branches.

This is a probable conclusion. So, it does not follow.

III. All branches being books is a possibility.

This conclusion also follows.

Therefore, conclusions I and III follow. So, C is the correct option.

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