# categorical syllogism examples with answers

Question 1:

Read the given statement(s) and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statement(s).

Statements:

All singers are dancers.

No dancer is a plumber.

Conclusions:

I. No plumber is a singer.

II. Some singers are plumbers.

III. Some dancers are singers.

(A) Only conclusions II and III follow.

(B) Only conclusions I follow.

(C) Only conclusions I and III follow.

(D) Only conclusions II follow.

C

Solution:

Given statements can be drawn as shown below in the venn-diagram:

Question 2:

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it  appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.

Statements:

1.  No bottle is a pen.

2.  All jugs are bottles.

Conclusions:

I. Some jugs are pens.

II. No jug is pen.

III. Some bottles are jugs.

(A) Only conclusions II and III follow.

(B) Either conclusion I or II follows.

(C) All conclusions I, and III follow.

(D) Conclusion III and either conclusion I or II follow.

A

Solution:

Given statements can be drawn as shown below in the venn-diagram:

Question 3:

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.

Statements:

1. Some animals are elephants.

2. Some elephants are tigers.

Conclusions:

I.  Some animals are tigers.

II. No tiger is an animal.

(A) Neither conclusion I nor II follows.

(B) Only conclusion II follows.

(C) Only conclusion I follows.

(D) Either conclusion I or II follows.

D

Solution:

Given statements can be drawn as shown below in the venn-diagram:

Question 4:

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.

Statements:

1. Some cars are rockets.

2.All rockets are engines.

Conclusions:

I. Some engines are rockets.

II. Some engines are cars.

(A) Both conclusions I and II follow.

(B) Only conclusion II follows.

(C) Only conclusion I follows.

(D) Neither conclusion I nor II follows.

A

Solution:

Given statements can be drawn as shown below in the venn-diagram:

Question 5:

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow from the statements.

Statements:

1. All parakeets are cuckoos.

2. All cuckoos are rabbits.

3. All rabbits are snakes.

Conclusion:

I. All parakeets are snakes.

II. All snakes are cuckoos.

III. All rabbits are parakeets.

IV. All cuckoos are snakes.

(A) Only conclusions I and IV follow.

(B) All the conclusions follow.

(C) Only conclusions I and II follow.

(D) Only conclusions II and III follow.