Mathematical Reasoning

• Hypothetical Syllogism

• Modus Ponens

• Disjunctive Syllogism

• Resolution

• Modus Tollens

• Hypothetical Syllogism

• Modus Ponens

• Addition

• Disjunctive Syllogism

• Resolution

• Addition

• Conjunction

• Hypothetical Syllogism

• Modus Ponens

• Modus Tollens

• Disjunctive Syllogism

Identify the rule used in each of the following arguments: 

A1: If you are a worthy, then you can lift the hammer.

A2: You cannot lift the hammer.

Conclusion: You are not worthy.

• Resolution

• Modus Tollens

• Conjunction

• Addition

Identify the rule used in each of the following arguments: 

A1: If you are a fan of Marvel, then you should watch Doctor Strange in the Multiverse of Madness.

A2: I am from Nueva Ecija.

Conclusion: If you are a fan of Marvel, then you should watch Doctor Strange in the Multiverse of Madness and I am from Nueva Ecija.

• Resolution

• Disjunctive Syllogism

• Addition

• Conjunction

Identify the rule used in each of the following arguments:

A1: The number x is a prime number and is also even.

Conclusion: The number x is a prime number.

• Conjunction

• Addition

• Simplification

• None of the above

• I and II

• I and IV

• I and V

• I and VII

• IV and V

• V and VI

• I and III

• I, II and III

• V, VII and VIII

• I, II and IV

• III, IV and VIII

• None of the above