# Syllogism

11 May 2020

syllogism is a kind of logical argument that applies deductive reasoning to arrive at a conclusion based on two or more propositions that are asserted or assumed to be true.

There are three major types of syllogism:

• Conditional Syllogism: If A is true then B is true (If A then B).
• Categorical Syllogism: If A is in C then B is in C.
• Disjunctive Syllogism: If A is true, then B is false (A or B).

##### Practice Questions of Syllogisms

Q1) Statements: Some trees are leaves. All leaves are stems. No tree is root. No stem is plant.
Conclusions:
I. Some roots are not stems.
II. No tree is plant.

A)  only 1st follows

B)  only 2nd follows

C) either 1st or 2nd

D)  neither 1st nor 2nd

Solution :

Q2) Statements: Some trees are leaves. All leaves are stems. No tree is root. No stem is plant.
Conclusions:
I. No plant is leaf.
II. Some leaves are not roots.

A)  only 1st follows

B)  only 2nd follows

C) either 1st or 2nd

D)  both 1st and 2nd

Solution :

Q3) Statements: All styles are fonts. Some reviews are fonts. All views are reviews. No clip is font.
Conclusions:
I. All clips being reviews is a possibility
II. Some views are not clips

A)  only 1st follows

B)  only 2nd follows

C) either 1st or 2nd

D)  both 1st and 2nd

Solution :

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Q4) Statements: All styles are fonts. Some reviews are fonts. All views are reviews. No clip is font.
Conclusions:
I. Some reviews are not clips.
II. Some views are fonts

A)  only 1st follows

B)  only 2nd follows

C) either 1st or 2nd

D)  both 1st and 2nd

Solution :

Q5) Statements: Some actors are singers. All the singers are dancers.
Conclusions:
1. Some actors are dancers.
2. No singer is actor.

A)  Only (1) conclusion follows

B) Only (2) conclusion follows

C) Either (1) or (2) follows

D)  Neither (1) nor (2) follows

Solution :

Q6)  Statements: All the harmoniums are instruments. All the instruments are flutes.
Conclusions:
1. All the flutes are instruments.
2. All the harmoniums are flutes.

A) Only (1) conclusion follows

B) Only (2) conclusion follows

C)  Either (1) or (2) follows

D) Neither (1) nor (2) follows

Solution :

Q7) Statements: Some mangoes are yellow. Some tixo are mangoes.
Conclusions:
1. Some mangoes are green.
2. Tixo is a yellow.

A) Only (1) conclusion follows

B) Only (2) conclusion follows

C) Either (1) or (2) follows

D) Neither (1) nor (2) follows

Solution :

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Q8) Statements: Some ants are parrots. All the parrots are apples.
Conclusions:
1. All the apples are parrots.
2. Some ants are apples.

A) Only (1) conclusion follows

B) Only (2) conclusion follows

C) Either (1) or (2) follows

D) Neither (1) nor (2) follows

Solution :

Q9) Statements: Some papers are pens. All the pencils are pens.
Conclusions:
1. Some pens are pencils.
2. Some pens are papers.

A) Only (1) conclusion follows

B) Only (2) conclusion follows

C) Either (1) or (2) follows

D)  Both (1) and (2) follow

Solution :

Q10) Statements: All the actors are girls. All the girls are beautiful.
Conclusions:
1. All the actors are beautiful.
2. Some girls are actors.

A) Only (1) conclusion follows

B) Only (2) conclusion follows

C) Neither (1) nor (2) follows

D) Both (1) and (2) follow

Solution :

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