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WorksheetsReasoning and Logic Logical Operators
Total questions: 19
Worksheet time: 50mins
It is a logical operator which also refers to implication. Its symbol is →
Conjunction
Disjunction
Conditional
Biconditional
(a) of a proposition is a logical operator denoted by ~p which is read as "not p"
The conditional logical operator consists of two propositions. The first proposition is called ________ and the second is called ___________.
conclusion, proposition
hypothesis, negation
if, then
hypothesis, conclusion
Which of the following is the truth table for disjunction?
For conditional propositions, when will it become FALSE?
hypothesis = T, conclusion = T
hypothesis = F, conclusion = T
hypothesis = T, conclusion = F
hypothesis = F, conclusion = F
Which of the following is representation of a biconditional?
Betty is a Grade 11 student and James misses his old car.
Augustine loves her pet cat if and only if James misses his old car.
James misses her old car or Betty is a Grade 11 student.
If August loves her pet cat, then Betty is a Grade 11 student.
Consider the proposition, "If a picture paints a thousand words, then I should paint you".
Which logical operator is used?
Negation
Disjunction
Biconditional
Conditional
If the "num" variable has value 5, is this expression True or False?
num < 0 and num > 10
True
False
If the "num" variable has value 0, is this expression True or False?
num > 0 or num < 10
True
False
Which is a conjunction of two statements?
2 is positive factor of 12 and 2 is a prime number.
If 3 is a factor of 9, then 9 is a composite number.
π is not an integer if and only if π is not in the number line.
The set of natural numbers is infinite or all positive integers has a cardinality of 0.
Which is a conditional statement?
2 is positive factor of 12 and 2 is a prime number.
If 3 is a factor of 9, then 9 is a composite number.
π is not an integer if and only if π is not in the number line.
The set of natural numbers is infinite or all positive integers has a cardinality of 0.
p and q are both true propositions and r is a false proposition.
What is the truth value of ~r
true
false
neither true nor false
information is insufficient
p and q are both true propositions and r is a false proposition. What is the truth value of q∧(∼r) ?
true
false
neither true nor false
information is insufficient
p and q are false and r is true. What is the truth value of q↔r ?
true
false
neither true nor false
information is insufficient
"If I do my homework,then I get my allowance."
What is the hypothesis?
I get my allowance.
I do my homework
If I do my homework
Then I get my allowance
