SJI 11 GEN MATH Logic

What does the term "logic" primarily refer to?

• A system of writing

• Valid reasoning in everyday life

• The study of emotions

• An art form

Which of the following is a proposition?

• Give me water.

• What is love?

• Mindanao is an island in the Philippines.

• Can you help me?

How can a proposition be classified?

• Simple and complex

• True or false

• Affirmative or negative

• All of the above

Identify the type of proposition: "All quadrilaterals are polygons."

• Particular Proposition

• Singular Proposition

• Universal Proposition

• Negative Proposition

Which of the following is an example of a compound proposition?

• It is raining.

• If it rains, then the ground is wet.

• The cat is black.

• All apples are fruits.

What is the truth value of the proposition "2 + 1 = 3"?

• T

• F

• Undefined

• Cannot be determined

In the syllogism, "All mammals are warm-blooded. All dogs are mammals. Therefore, all dogs are warm-blooded," identify the major term.

• Mammals

• Warm-blooded

• Dogs

• All

Which statement best describes a tautology?

• A statement that is always false.

• A statement that can be proven true.

• A statement that is always true.

• A statement that lacks a truth value.

What is the contrapositive of the statement "If it rains, then the ground is wet"?

• If the ground is not wet, then it does not rain.

• If it does not rain, then the ground is wet.

• If the ground is wet, then it rains.

• It is not raining.

Which of the following forms is considered a valid categorical syllogism?

• All A are B. Some B are C. Therefore, some A are C.

• All A are B. All C are A. Therefore, all C are B.

• Some A are B. No B are C. Therefore, some A are C.

• All A are B. All B are C. Therefore, all A are C.