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WorksheetsGEMATMW - Mathematics as a Language
Total questions: 18
Worksheet time: 11mins
Consider the proposition, "When the sum of their measures is 90°, two angles are complementary." Which of the following is its contrapositive?
When two angles are not complementary, the sum of their measures is not 90°.
When two angles are complementary, the sum of their measures is 90°.
When the sum of their measures is not 90°, two angles are complementary.
When the sum of their measures is not 90°, two angles are not complementary.
Consider the statements:
p = "Today is Friday."
q = "Jose has no classes."
r = "Tomorrow is a busy day."
Which valid conclusion can be drawn from the following premises if they are all assumed to be true?
If today is Friday, then tomorrow is a busy day.
If tomorrow is a busy day, then Jose has no classes.
Jose has no classes.
Today is Friday.
What is the truth value of the proposition (P→¬R)⊕(R∧S)? Let P, Q, R, and S be propositions such that P and R is true and S and Q is false.
True
False
What symbolizes the exclusive-or statement?
p ⊕ q
p ∧ p
p ∨ q
p → q
What is true when at least one of them is true?
p ⊕ q
p ∧ p
p ∨ q
p → q
The first part in a conditional statement is the _____ while the second part is the _____.
Antecedent; Consequent
Subject; Predicate
Predicate; Subject
Consequent; Antecedent
What is the negation of the proposition p→q?
p ∧ ¬q
None of the Choices
¬p → ¬q
q → ¬p
Which of the following is not a proposition?
What she is saying is not true.
Ateneo is a trimestral university.
The number 9 is odd.
12 - 6 = 6
∴p ∨ qp
Addition
Simplification
Conjunction
Modus Ponens
Modus Tollens
Conditional statement: "If p, then q." The inverse is _____.
If ¬p, then ¬q.
If q, then p.
If ¬q, then ¬p.
Conditional statement: "If p, then q." The converse is _____.
If ¬p, then ¬q.
If q, then p.
If ¬q, then ¬p.
Conditional statement: "If p, then q." The contrapositive is _____.
If ¬p, then ¬q.
If q, then p.
If ¬q, then ¬p.
P(x) is true for all values of x in the domain of discourse.
Universal Quantification
Existential Quantification
There exists an element x in the domain of discourse such that P(x) is true.
Universal Quantification
Existential Quantification
"P implies Q and P is true, therefore Q must be true."
Modus Ponens
The Mode of Affirming
Modus Tollens
The Mode of Denying
Hypothetical Syllogism
_____ is the rule of logic stating that if a conditional statement (“if p then q ”) is accepted, and the consequent does not hold ( not-q ), then the negation of the antecedent ( not-p ) can be inferred.
Modus Ponens
The Mode of Affirming
Modus Tollens
The Mode of Denying
Hypothetical Syllogism
It is a valid argument form which is a syllogism having a conditional statement for one or both of its premises.
Hypothetical Syllogism
Addition
Simplification
Disjunctive Syllogism
Conjunction
"The breach is a safety violation, or it is not subject to fines. The breach is not a safety violation. Therefore, it is not subject to fines."
It is an example of a ...
Disjunctive Syllogism
Hypothetical Syllogism
Simplification
Conjuction
