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20 questions
Which of the following is a converse of the given statement?
Conditional statement: If an angle has a measure of 180 degrees, then it is a straight angle.
If an angle is not 180 degrees, then it is not a straight angle.
If it is a straight angle, then it's measure is 180 degrees.
If an angle is not straight, then it is not 180 degrees.
An angle has a measure of 180 degress if and only if it is a straight angle.
Which of the following isTRUE about statement or proposition?
It is a declarative sentence. It is TRUE but can't be FALSE
It is a declarative sentence. It can be both TRUE or FALSE.
It is a declarative sentence. It is neither TRUE or FALSE.
It is a declarative sentence. It is either TRUE or FALSE, but NOT BOTH.
Which of the following logic connectives is equivalent to
∼(p⟶q) ?p∨∼q
p∧∼q
∼p∨∼q
∼p∧q
What is the symbol for disjunction?
→
∨
∧
↔
What is the bi- conditional of this statement?
"Parallel lines do not intersect."
Two lines are not parallel if and only if they do not intersect
Two lines are parallel if and only if they intersect.
Two lines do not intersect if and only if they are parallel.
Two lines are parallel if and only if they do not intersect.
∼p∧∼q is equivalent to _____________________.
∼(p∨q)
∼(p∧q)
∼(p→q)
∼p→∼q
What is the contrapositive of the statement,
"A figure is a square if and only if it is a quadrilateral." ?
If it is a quadrilateral, then a figure is a square.
If a figure is a square, then it is a quadrilateral.
If it is not a quadrilateral, then a figure is not a square.
If a figure is not a square, then it is not a quadrilateral.
Which is NOT true about conjunction?
The statement is formed by using the word "and".
The statement is false if both p and q are TRUE, otherwise it is FALSE.
The statement is true if both p and q are FALSE, otherwise it is FALSE.
The statement is true if both p and q are TRUE, otherwise it is FALSE.
Which of the following connectives is true if p (hypothesis) is TRUE and q(conclusion) is FALSE?
p→q is TRUE
p→q is FALSE
∼q→p is FALSE
q→p is FALSE
A false _______________________ occurs when the hypothesis is TRUE and the conclusion is FALSE.
The bi- conditional statement p↔q is the statement ___________________________________.
"q if and only if p"
"if p, then q"
“p if and only if q”
"if and only if p and q"
The bi- conditional statement p↔q is __________ when p and q have the same truth values.
What is the disjunction form of the statement: If 5x2 +1 = 46, then x=−3. ?
x=−3 or 5x2+1=46
x=−3 or 5x2+1=46
5x2+1=46 or x=−3
5x2+1=46 and x=−3
What is the symbol used for implication statement?
↔
∨
∧
→
What is the symbol used for conjunction?
∨
∧
∼
>
What is the negation of the statement, a circle has a diameter of 14 cm?
A circle hasn't a diameter of 14 cm.
A circle doesn't have a diameter of 14 cm.
A circle has no diameter of 14 cm.
A circle is not 14 cm.
Write the statement in p↔q form.
Perpendicular lines intersect if and only if at a right angle.
Two lines are perpendicular if and only if they intersect at a right triangle.
Two lines are perpendicular if and only if they intersect at a right angle.
Two lines intersect at a right angle if and only if they are perpendicular lines.
What is the word used to join the statements in disjunction form?
or
and
not
if and only if
Which of the following logical connectives represent contrapositive statement?
∼p→∼q
∼q→∼p
q→p
∼(q→p)
What is the hypothesis of the statement, " A figure is a pentagon if and only if it's a five sided polygon."
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