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 diamonds are stones.

No stone is a rock.

Conclusions:

I. Some rocks are diamonds. 

II. No rock is a diamond.

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 SE6 Question 1 Venn DiagramOnly conclusion II follows. So, B is the correct option.

Syllogism Question 2:

Statements: 

Some books are papers.

All papers are pencils.

All pencils are pins.

Conclusions:

I. All pins are books.

II. All pins are papers.

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 SE6 Question 2 Venn DiagramClearly, none of the conclusions follows. So, D is the correct option.

Syllogism Question 3:

Statements: 

All newspapers are papers.

Some magazines are papers.

All magazines are books.

Conclusions:

I. Some papers are books.

II. No newspaper is a book.

III. Some books are definitely newspapers.

A. Only I follows

B. Only III follows

C. I and either II or III follow

D. Only II follows

E. Either I or II follows

Venn diagram representation of the statements:

Syllogisms SE6 Question 3 Venn Diagram

Conclusions:

I. Some papers are books.

This conclusion follows.

II. No newspaper is a book.

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

III. Some books are definitely newspapers.

Again, this is a probable conclusion but it complements conclusion II. So, either conclusion II or III follows.

Therefore, C is the correct option.

Syllogism Question 4:

Statements: 

Some cakes are bags.

All cakes are lights.

No light is a pen.

Conclusions:

I. No pen is a cake.

II. Some pens are bags.

III. Some bags are cakes.

IV. Some lights are bags.

A. Only I and III follow

B. Only III and IV follow

C. Only II and III follow

D. Only I, III and IV follow

E. All follow

Venn diagram representation of the statements:

Syllogisms SE6 Question 4 Venn Diagram

Conclusions I, III and IV follow. So, D is the correct option.

Syllogism Question 5:

Statements: 

Some hills are mountains.

All mountains are rocks.

No rock is a river.

Conclusions:

I. Some hills which are rocks are not rivers.

II. Some rocks are hills.

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 SE6 Question 5 Venn DiagramConclusions:

I. Some hills which are rocks are not rivers.

Since no rock is a river, the hills which are rocks cannot be rivers. So, this conclusion follows.

II. Some rocks are hills.

This conclusion follows.

Therefore, both the conclusion follows. So, C is the correct option.

Syllogism Question 6:

Statements: 

Some doctors are engineers.

No engineer is a pilot.

All pilots are teachers.

Conclusions:

I. Some doctors are not pilots.

II. Some engineers can be teachers.

III. Some teachers are not engineers.

A. Only II follows

B. Only I and II follow

C. Only II and III follow

D. Only I and III follow

E. All follow

Venn diagram representation of the statements:

Syllogisms SE6 Question 6 Venn Diagram

Conclusions:

I. Some doctors are not pilots.

The doctors who are engineers cannot be pilots. So, this conclusion follows.

II. Some engineers can be teachers.

It is possible for some or all engineers to be teachers. So, this conclusion follows as well.

III. Some teachers are not engineers.

The teachers who are pilots cannot be engineers. So, this conclusion follow as well.

Therefore, all the conclusions follow. So, E is the correct option.

Syllogism Question 7:

Statements: 

Some fruits are flowers.

All flowers are leaves.

No flower is a tree.

Conclusions:

I. No tree is a leaf.

II. At least some leaves are fruits.

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 SE6 Question 7 Venn Diagram

Conclusions:

I. No tree is a leaf.

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

II. At least some leaves are fruits.

This conclusion follows.

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

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