MATHEMATICAL REASONING EXAMINATION QUESTIONS
AND CORRECT ANSWER WITH EXPLANATION GRADED
A+ STUDY GUIDE SOUTHERN NEW HAMPSHIRE
UNIVERSITY
1. Mathematical reasoning is mainly about:
A. Logical thinking using mathematics
B. Memorizing formulas only
C. Drawing diagrams
D. Guessing answers
Answer: A
Rationale: It focuses on logical deduction.
2. A proposition is:
A. A statement that is true or false
B. A question
C. A number
D. A diagram
Answer: A
Rationale: It has a truth value.
3. A statement that is always true is called:
A. Tautology
B. Contradiction
C. Hypothesis
D. Equation
Answer: A
Rationale: Always true.
4. A contradiction is a statement that is:
A. Always false
B. Always true
C. Sometimes true
D. Undefined
Answer: A
Rationale: Never true.
,5. A logical connective is used to:
A. Combine statements
B. Solve equations
C. Draw graphs
D. Measure values
Answer: A
Rationale: Links propositions.
6. The “AND” operator is:
A. Conjunction
B. Disjunction
C. Negation
D. Implication
Answer: A
Rationale: Both must be true.
7. The “OR” operator is:
A. Disjunction
B. Conjunction
C. Negation
D. Equality
Answer: A
Rationale: At least one true.
8. Negation means:
A. Opposite of a statement
B. Same statement
C. Addition
D. Multiplication
Answer: A
Rationale: Logical NOT.
9. Implication is written as:
A. p → q
B. p + q
C. p × q
D. p = q
Answer: A
Rationale: If p then q.
, 10. Biconditional means:
A. If and only if
B. Either or
C. Not equal
D. Always false
Answer: A
Rationale: Two-way implication.
11. Truth table shows:
A. All possible truth values
B. Numbers only
C. Graphs
D. Shapes
Answer: A
Rationale: Logical outcomes.
12. A compound statement is formed using:
A. Logical connectives
B. Numbers only
C. Graphs
D. Tables only
Answer: A
Rationale: Multiple propositions.
13. A predicate is:
A. Statement with variable
B. Fixed statement
C. Number
D. Graph
Answer: A
Rationale: Depends on variable.
14. Quantifier “∀” means:
A. For all
B. There exists
C. None
D. Some
Answer: A
Rationale: Universal quantifier.
AND CORRECT ANSWER WITH EXPLANATION GRADED
A+ STUDY GUIDE SOUTHERN NEW HAMPSHIRE
UNIVERSITY
1. Mathematical reasoning is mainly about:
A. Logical thinking using mathematics
B. Memorizing formulas only
C. Drawing diagrams
D. Guessing answers
Answer: A
Rationale: It focuses on logical deduction.
2. A proposition is:
A. A statement that is true or false
B. A question
C. A number
D. A diagram
Answer: A
Rationale: It has a truth value.
3. A statement that is always true is called:
A. Tautology
B. Contradiction
C. Hypothesis
D. Equation
Answer: A
Rationale: Always true.
4. A contradiction is a statement that is:
A. Always false
B. Always true
C. Sometimes true
D. Undefined
Answer: A
Rationale: Never true.
,5. A logical connective is used to:
A. Combine statements
B. Solve equations
C. Draw graphs
D. Measure values
Answer: A
Rationale: Links propositions.
6. The “AND” operator is:
A. Conjunction
B. Disjunction
C. Negation
D. Implication
Answer: A
Rationale: Both must be true.
7. The “OR” operator is:
A. Disjunction
B. Conjunction
C. Negation
D. Equality
Answer: A
Rationale: At least one true.
8. Negation means:
A. Opposite of a statement
B. Same statement
C. Addition
D. Multiplication
Answer: A
Rationale: Logical NOT.
9. Implication is written as:
A. p → q
B. p + q
C. p × q
D. p = q
Answer: A
Rationale: If p then q.
, 10. Biconditional means:
A. If and only if
B. Either or
C. Not equal
D. Always false
Answer: A
Rationale: Two-way implication.
11. Truth table shows:
A. All possible truth values
B. Numbers only
C. Graphs
D. Shapes
Answer: A
Rationale: Logical outcomes.
12. A compound statement is formed using:
A. Logical connectives
B. Numbers only
C. Graphs
D. Tables only
Answer: A
Rationale: Multiple propositions.
13. A predicate is:
A. Statement with variable
B. Fixed statement
C. Number
D. Graph
Answer: A
Rationale: Depends on variable.
14. Quantifier “∀” means:
A. For all
B. There exists
C. None
D. Some
Answer: A
Rationale: Universal quantifier.
