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ACESE Logic and Reasoning

Total questions: 11

Worksheet time: 8mins

Name
Class
Date
1.

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

a)

Logic

b)

Statistics

c)

Calculus

d)

Algebra

2.

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

a)

Argument

b)

Proposition

c)

Statement

d)

Theorem

3.

Which of the following is NOT a proposition?

a)

My hair is black.

b)

Your puppies are adorable.

c)

Welcome to the Philippines!

d)

Every even number is divisible by 2.

4.

The following are examples of simple propositions EXCEPT:

a)

Opposite angles in a parallelogram are congruent.

b)

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

c)

Right angles measure 90°.

d)

A three-sided polygon is called a triangle.

5.

Which of the following is an example of compound proposition?

a)

Either Math is boring or it is not.

b)

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

c)

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

d)

All of the above.

6.

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

a)

Contranegative

b)

Converse

c)

Inverse

d)

Contrapositive

7.

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

a)

True

b)

False

8.

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

a)

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

b)

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

c)

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

d)

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

9.

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

a)

Tautology

b)

Contradiction

c)

Contingency

10.

The following are examples of logical fallacies EXCEPT:

a)

Appeal to force/authority

b)

Post hoc, ergo propter hoc

c)

Anachronism

d)

Equivocation

11.

Determine whether this compound proposition is a tautology, contradiction or a contigency:

a)

Tautology

b)

Contradiction

c)

Contingent