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: 

Some squares are circles.

All circles are triangles.

Some rectangles are triangles.

Conclusions:

I. All squares being rectangles is a possibility.

II. At least some rectangles are circles.

A. Only II follows

B. Neither I nor II follows

C. Both I and II follow

D. Only I follows

E. Either I or II follows

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

Syllogisms SE5 Question 1 Venn Diagram

Conclusions:

I. All squares being rectangles is a possibility.

This conclusion follows.

Venn Diagram for conclusion 1

II. At least some rectangles are circles.

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

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

Syllogism Question 2:

Statements: 

50% of cats are tigers. 

50% of cats are lions.

Conclusions:

I. At most 50% of cats are neither a tiger nor a lion is a possibility.

II. All cats are either lions or tigers.

A. Only II follows

B. Neither I nor II follows

C. Both I and II follow

D. Only I follows

E. Either I or II follows

Conclusions:

I. At most 50% of cats are neither a tiger nor a lion is a possibility.

This would happen when all the cats that are tigers are lions as well. So, this conclusion follows.

Syllogisms SE5 Question 2 Venn Diagram

II. All cats are either lions or tigers.

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

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

Syllogism Question 3:

Statements: 

Some cats are tigers.

No lion is a tiger.

Conclusions:

I. Some cats are lions.

II. The cats which are lions are not tigers 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 SE5 Question 3 Venn Diagram

Conclusions:

I. Some cats are lions.

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

II. The cats which are lions are not tigers is a possibility.

Since no lion is a tiger, the cats that are lions are not tigers. So, this conclusion follows.

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

Syllogism Question 4:

Statements: 

Some squares are circles.

All circles are triangles.

Some rectangles are triangles.

Conclusions:

I. All rectangles being squares is a possibility.

II. All circles being squares is a possibility.

A. Only II follows

B. Neither I nor II follows

C. Both I and II follow

D. Only I follows

E. Either I or II follows

Conclusions:

I. All rectangles being squares is a possibility.

This conclusion follows.

Syllogisms SE5 Question 4 Venn Diagram

II. All circles being squares is a possibility.

Since some squares are circles, it is possible that all circles are squares. Click here to check the list of probable conclusions for the premise type: “Some A are B”.

Therefore, both the conclusions follow. So, C is the correct option.

Syllogism Question 5:

Statements: 

All shirts are clothes.

Some clothes are not leaves.

Conclusions:

I. Some shirts being leaves is a possibility.

II. All leaves being shirts 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

Conclusions:

I. Some shirts being leaves is a possibility.

This conclusion follows.

Syllogisms SE5 Question 5 Venn Diagram for conclusion 1

II. All leaves being shirts is a possibility.

This conclusion follows as well.

Venn Diagram for conclusion 2

Therefore, both the conclusions follow. So, C is the correct option.

Syllogism Question 6:

Statements: 

All buckets are mugs.

Some mugs are cups.

Conclusions:

I. All cups being buckets is a possibility.

II. All cups are mugs.

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 SE5 Question 6 Venn Diagram

Conclusions:

I. All cups being buckets is a possibility.

This conclusion follows.

Venn Diagram for conclusion 1

II. All cups are mugs.

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

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

Syllogism Question 7:

Statements: 

Some lines are circles.

All circles are balls.

Conclusions:

I. All balls being lines is a possibility.

II. There is a possibility that some balls are circles.

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 SE5 Question 7 Venn Diagram

Conclusions:

I. All balls being lines is a possibility.

This conclusion follows.

Venn Diagram for conclusion 1

II. There is a possibility that some balls are circles.

Some balls are definitely circles. So, this conclusion does not follow.

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

Syllogism Question 8:

Statements: 

No air is wind.

All winds are typhoons.

Conclusions:

I. No air is typhoon.

II. All air being typhoons 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 SE5 Question 8 Venn DiagramConclusions:

I. No air is typhoon.

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

II. All air being typhoons is a possibility. 

This conclusion follows.

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

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