ACESE Logic and Reasoning

It is the study of methods and principles used to distinguish and determine correct reasoning.

• Logic

• Statistics

• Calculus

• Algebra

It is a declarative sentence that is either true or false, but not both.

• Argument

• Proposition

• Statement

• Theorem

Which of the following is NOT a proposition?

• My hair is black.

• Your puppies are adorable.

• Welcome to the Philippines!

• Every even number is divisible by 2.

The following are examples of simple propositions EXCEPT:

• Opposite angles in a parallelogram are congruent.

• If a transversal cuts through parallel lines. then the alternate interior angles are congruent.

• Right angles measure 90°.

• A three-sided polygon is called a triangle.

Which of the following is an example of compound proposition?

• Either Math is boring or it is not.

• It is not the case that π is a rational number.

• A polygon is called a hexagon if and only if it has six sides.

• All of the above.

Which of the following is NOT a form of conditional proposition?

• Contranegative

• Converse

• Inverse

• Contrapositive

If p is true and q is false, what is ~q → p?

• True

• False

Given, "If I have a Siberian Husky, then I have a dog." Identify the contrapositive.

• If I do not have a Siberian Husky, then I do not have a dog.

• If I have a dog, then I have a Siberian Husky.

• If I do not have a dog, then I do not have a Siberian Husky.

• If I do not have a Siberian Husky, then I have a dog. 

What is a proposition where the truth values are always false in all possible cases?

• Tautology

• Contradiction

• Contingency

The following are examples of logical fallacies EXCEPT:

• Appeal to force/authority

• Post hoc, ergo propter hoc

• Anachronism

• Equivocation