ESTUDYR
PORTAGE LEARNING MATH 110 EXAM QUESTIONS - ALL
(LATEST-2025) / MATH110 INTRODUCTION TO
STATISTICS
1. What is a Conditional Statement?
A. A switched conditional statement (B = A)
B. A negative and switched conditional statement (-B = -A)
C. A statement in "If, Then" form (A = B)
D. A negative conditional statement (-A = -B)
Answer: C
Rationale: Conditional statements are structured as "If A, then B," indicating a direct logical
relationship.
2. What is a Converse Statement?
A. A statement in "If, Then" form (A = B)
B. A switched conditional statement (B = A)
C. A negative conditional statement (-A = -B)
D. A negative and switched conditional statement (-B = -A)
Answer: B
Rationale: The converse of a statement flips the hypothesis and conclusion (e.g., from "If A,
then B" to "If B, then A").
3. What is an Inverse Statement?
A. A statement in "If, Then" form (A = B)
B. A switched conditional statement (B = A)
C. A negative conditional statement (-A = -B)
D. A negative and switched conditional statement (-B = -A)
Answer: C
Rationale: The inverse negates both the hypothesis and conclusion without switching them
(e.g., from "If A, then B" to "If not A, then not B").
4. What is a Contrapositive Statement?
A. A statement in "If, Then" form (A = B)
B. A switched conditional statement (B = A)
C. A negative conditional statement (-A = -B)
D. A negative and switched conditional statement (-B = -A)
Answer: D
Rationale: The contrapositive negates and switches the hypothesis and conclusion (e.g., from "If
A, then B" to "If not B, then not A").
,ESTUDYR
5. What is the most common logical error?
A. Assuming the inverse is true
B. Assuming the contrapositive is false
C. Assuming the converse or inverse of a statement is true
D. Misinterpreting conditional statements
Answer: C
Rationale: Both the converse and inverse of a statement are not guaranteed to be true unless
proven independently.
Quantifiers and Statements
6. What do Existential Quantifiers indicate?
A. The absence of something
B. The existence of something
C. A universal truth
D. A contradiction
Answer: B
Rationale: Existential quantifiers affirm that at least one element in a set satisfies a given
property.
7. Which of the following phrases are associated with Existential Quantifiers?
A. "All," "every"
B. "Some," "at least," "there exists"
C. "None," "no"
D. "Never," "always"
Answer: B
Rationale: These phrases emphasize the existence of one or more elements with a specified
property.
8. What do Universal Quantifiers indicate?
A. That a property applies to all elements in a set
B. The existence of something
C. That a property applies to no elements in a set
D. Both A and C
Answer: D
Rationale: Universal quantifiers state that a property is either shared by all elements (e.g., "all"
or "every") or none (e.g., "none" or "no").
9. Which of the following phrases are associated with Universal Quantifiers?
A. "Some," "there exists"
B. "All," "every," "none," "no"
C. "At least," "never"
D. "Few," "many"
, ESTUDYR
Answer: B
Rationale: These phrases express universal inclusion or exclusion of a property within a set.
10. What is the correct approach to negate a statement?
A. Reverse the logic without using quantifiers
B. Use the same quantifier with a negation
C. Use the opposite quantifier
D. Negate all terms in the statement
Answer: C
Rationale: Negating a statement involves switching from "all" to "some" or vice versa.
11. What can counterexamples prove false?
A. The converse of a statement
B. The hypothesis of a statement
C. The conclusion of a statement
D. A statement
Answer: D
Rationale: Counterexamples disprove the general validity of a statement by showing an
exception.
Sets and Numbers
12. What is a set?
A. A single item described in words
B. A collection of items described in words or using roster notation
C. A sequence of numbers
D. A group of related functions
Answer: B
Rationale: Sets are collections of distinct elements, often represented with curly brackets (e.g.,
{1, 2, 3}).
13. Which of the following are Natural Numbers?
A. All numbers from zero to infinity
B. All negative and positive integers
C. All fractions of integers
D. All numbers on the number line
Answer: A
Rationale: Natural numbers include non-negative integers starting from zero.
14. What symbol represents Natural Numbers?
A.
B.
C.
D.
PORTAGE LEARNING MATH 110 EXAM QUESTIONS - ALL
(LATEST-2025) / MATH110 INTRODUCTION TO
STATISTICS
1. What is a Conditional Statement?
A. A switched conditional statement (B = A)
B. A negative and switched conditional statement (-B = -A)
C. A statement in "If, Then" form (A = B)
D. A negative conditional statement (-A = -B)
Answer: C
Rationale: Conditional statements are structured as "If A, then B," indicating a direct logical
relationship.
2. What is a Converse Statement?
A. A statement in "If, Then" form (A = B)
B. A switched conditional statement (B = A)
C. A negative conditional statement (-A = -B)
D. A negative and switched conditional statement (-B = -A)
Answer: B
Rationale: The converse of a statement flips the hypothesis and conclusion (e.g., from "If A,
then B" to "If B, then A").
3. What is an Inverse Statement?
A. A statement in "If, Then" form (A = B)
B. A switched conditional statement (B = A)
C. A negative conditional statement (-A = -B)
D. A negative and switched conditional statement (-B = -A)
Answer: C
Rationale: The inverse negates both the hypothesis and conclusion without switching them
(e.g., from "If A, then B" to "If not A, then not B").
4. What is a Contrapositive Statement?
A. A statement in "If, Then" form (A = B)
B. A switched conditional statement (B = A)
C. A negative conditional statement (-A = -B)
D. A negative and switched conditional statement (-B = -A)
Answer: D
Rationale: The contrapositive negates and switches the hypothesis and conclusion (e.g., from "If
A, then B" to "If not B, then not A").
,ESTUDYR
5. What is the most common logical error?
A. Assuming the inverse is true
B. Assuming the contrapositive is false
C. Assuming the converse or inverse of a statement is true
D. Misinterpreting conditional statements
Answer: C
Rationale: Both the converse and inverse of a statement are not guaranteed to be true unless
proven independently.
Quantifiers and Statements
6. What do Existential Quantifiers indicate?
A. The absence of something
B. The existence of something
C. A universal truth
D. A contradiction
Answer: B
Rationale: Existential quantifiers affirm that at least one element in a set satisfies a given
property.
7. Which of the following phrases are associated with Existential Quantifiers?
A. "All," "every"
B. "Some," "at least," "there exists"
C. "None," "no"
D. "Never," "always"
Answer: B
Rationale: These phrases emphasize the existence of one or more elements with a specified
property.
8. What do Universal Quantifiers indicate?
A. That a property applies to all elements in a set
B. The existence of something
C. That a property applies to no elements in a set
D. Both A and C
Answer: D
Rationale: Universal quantifiers state that a property is either shared by all elements (e.g., "all"
or "every") or none (e.g., "none" or "no").
9. Which of the following phrases are associated with Universal Quantifiers?
A. "Some," "there exists"
B. "All," "every," "none," "no"
C. "At least," "never"
D. "Few," "many"
, ESTUDYR
Answer: B
Rationale: These phrases express universal inclusion or exclusion of a property within a set.
10. What is the correct approach to negate a statement?
A. Reverse the logic without using quantifiers
B. Use the same quantifier with a negation
C. Use the opposite quantifier
D. Negate all terms in the statement
Answer: C
Rationale: Negating a statement involves switching from "all" to "some" or vice versa.
11. What can counterexamples prove false?
A. The converse of a statement
B. The hypothesis of a statement
C. The conclusion of a statement
D. A statement
Answer: D
Rationale: Counterexamples disprove the general validity of a statement by showing an
exception.
Sets and Numbers
12. What is a set?
A. A single item described in words
B. A collection of items described in words or using roster notation
C. A sequence of numbers
D. A group of related functions
Answer: B
Rationale: Sets are collections of distinct elements, often represented with curly brackets (e.g.,
{1, 2, 3}).
13. Which of the following are Natural Numbers?
A. All numbers from zero to infinity
B. All negative and positive integers
C. All fractions of integers
D. All numbers on the number line
Answer: A
Rationale: Natural numbers include non-negative integers starting from zero.
14. What symbol represents Natural Numbers?
A.
B.
C.
D.
