Syllogism Practice Questions

In this section we will go through some examples to have a better insight into solving these problems.

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: 

No building is white.

All whites are oranges.

Some oranges are water.

Conclusions:

I. No building is water.

II. At least some waters are buildings.

III. Some oranges being white is a possibility.

A. Either I or II and III follow

B. Only III follows

C. Only I follows

D. Only II follows

E. Either I or II follows

Venn diagram representation of the statements:

Syllogisms SE8 Question 1 Venn Diagram

Either conclusion I or II follows. So, E is the correct option.

Syllogism Question 2:

Statements: 

Some mangoes are apples.

Some bananas are apples.

Some branches are bananas.

Conclusions:

I. Some mangoes are bananas.

II. Some branches being apples is a possibility.

III. At least some branches are mangoes.

IV. All apples being mangoes is a possibility.

A. None follows

B. I and IV follow

C. II and IV follow

D. All follow

E. I and II follow

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

Syllogisms SE8 Question 2 Venn DiagramConclusions II and IV follow. So, C is the correct option.

Syllogism Question 3:

Statements: 

All jungles are lions.

Some lions are tigers.

All tigers are cats.

Conclusions:

I. All lions are jungles.

II. Some tigers being cats is a possibility.

III. At least some cats are tigers.

A. I and II or III follow

B. Only I follows

C. Both I and II follow

D. Both II and III follow

E. None of the above 

Venn diagram representation of the statements:

Syllogisms SE8 Question 3 Venn Diagram

Only conclusion III follows. So, E is the correct option.

Syllogism Question 4:

Statements: 

Some leaves are boats.

All boats are stones.

Some stones as well as leaves are branches.

Conclusions:

I. Some branches are boats.

II. Some stones are boats.

III. All stones being boats is a possibility.

A. I and II or III follow

B. Only I follows

C. Both I and II follow

D. Both II and III follow

E. None of the above

Venn diagram representation of the statements:

Syllogisms SE8 Question 4 Venn Diagram

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

Syllogism Question 5:

Statements: 

All parrots are pigeons.

Some pigeons are sparrows.

No sparrow is an eagle. 

Conclusions:

I. Some eagles being pigeons is a possibility.

II. All pigeons being parrots 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 SE8 Question 5 Venn DiagramBoth the conclusions follow. So, C is the correct option.

Syllogism Question 6:

Statements: 

All circles are lines.

All circles are rings.

No ring is a square.

No square is a cube. 

Conclusions:

I. Some rings being cubes is a possibility.

II. All those rings which are circles are also lines.

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 SE8 Question 6 Venn Diagram

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

Syllogism Question 7:

Statements: 

All circles are lines.

All circles are rings.

No ring is a square.

No square is a cube. 

Conclusions:

I. No line is a square.

II. Some squares being lines is a possibility.

III. Some squares are lines.

A. Only I follows

B. Only II  and either I or III follow

C. Only II follows

D. Either I or III follow

E. None of the above

Venn diagram representation of the statements:

Syllogisms SE8 Question 6 Venn Diagram

Conclusions:

I. No line is a square.

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

II. Some squares being lines is a possibility.

This conclusion follows.

III. Some squares are lines.

This is a probable conclusion but it complements conclusion I. So, either conclusion I or III follows.

Therefore, B is the correct option.