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WorksheetsQUIZ, Logic
Total questions: 47
Worksheet time: 49mins
A statement that is either true or false but not both.
logic
proposition
predicate
none of the above
Which of the following is a proposition
x + 1 = 5
5 + 2 = 8
N is greater than 5
-5 > n
Which of the following is a proposition?
Divide 10 by 2.
Rica is 5 years old.
How old is Rica?
x > 5
Which of the following is NOT a proposition
x + 1 = 5 , x > 2
5 + 2 = 8
N is greater than 5, for N is odd
5 > n
Give the proposition, "Ruru is at most 160 cm. high" ; What is its negation?
Ruru is more than 160 cm high
Ruru is 160 cm high.
Ruru is less than 160 cm high
Ruru is taller than me.
Given the proposition, "Marco is not a student of BPSU". What is its negation?
Marco takes medicine.
Marco studies at BHMC.
Marco is a student of BPSU.
Marco does not study at BPSU.
Given the proposition "Cataning is not in Samal", what is its negation?
Cataning is in Balanga.
Cataning is in Hermosa.
Cataning is not in Balanga.
Cataning is in Samal.
Given the propositions, p, q and r, rewrite the given compound statements using logical expressions. Austin does not study at BPSU
¬ q
¬ r
p ∧ ¬ q
p ∧ r
Given the propositions, p, q and r, match the logical statement to their English tanslation
¬ q
Austin does not study at BPSU
r ∧ p
BPSU offers Engineering course and Austin takes Engineering course.
p ∧ ¬ q
Austin takes Engineering course but does not study at BPSU
r → p
Austin takes Engineering course whenever BPSU offers engineering course
(p∧q)→r
If Austin takes Engineering course and studies at BPSU then BPSU offers Engineering Course.
Given the propositions: (p) 3 is a prime number. (q) 3 is an even number. and (r) 3n > 6, for n=2; Which of the following is TRUE?
a.
b.
c.
d.
Given the propositions (p) 3 is a prime number. (q) 3 is an even number. and (r) 3n > 6, for n=2; Which of the following is FALSE?
a.
b.
c.
d.
Given the propositions (p) 3 is a prime number. (q) 3 is an even number. and (r) 3n > 6, for n=2; What is the truth value of the given logical statement?
a. True
b. False
c. Either
d. Neither
How many rows appear in the truth table of the given compound statements?
4
8
16
32
How many rows appear in the truth table of the given compound statements?
4
8
16
32
Given the truth table, What is the truth value for (23)?
T
F
Given the truth table, What is the truth value for (24)?
T
F
Given the truth table, What is the truth value for (25)?
T
F
Given the truth table, What is the truth value for (26)?
T
F
Given the truth table, What is the truth value for (27)?
T
F
Given the truth table, What is the truth value for (28)?
T
F
Given the truth table, What is the truth value for (29)?
T
F
Given the truth table, What is the truth value for (30)?
T
F
A proposition that is always true.
Contingency
Contradiction
Tautology
Logically equivalent
A proposition that is always false.
Contingency
Contradiction
Tautology
Logically equivalent
A proposition that is neither a tautology nor a contradiction.
Contingency
Contradiction
Tautology
Logically equivalent
34. The given proposition is a
Contingency
Contradiction
Tautology
Logically equivalent
The given proposition is a
Contingency
Contradiction
Tautology
Logically equivalent
Given the combinatorial circuit, what is the output at (36)
a.
b.
c.
d.
Given the combinatorial circuit, what is the output at (37)?
a.
b.
c.
d.
Given the combinatorial circuit, what is the output at (38)?
a.
b.
c.
d.
Given the combinatorial circuit, what is the output at (39)?
a.
b.
c.
d.
Use De Morgan’s Law to express the negation of the statement: Michael will go to Star City or Enchanted Kingdom.
Michael will neither go to Star City nor Enchanted Kingdom.
Michael will either go to Star City or Enchanted Kingdom.
Michael will not go to Star City.
Michael will not go to Enchanted Kingdom.
Use De Morgan’s Law to express the negation of the statement: Homer does not have an internet account and has no Facebook.
Homer has either internet account or Facebook.
Homer has neither internet account nor Facebook
Homer has an internet account.
Homer has Facebook.
Let the statement x + 1 ≥ 5. What is the truth value of P(4)?
True
False
Either
Neither
Let the statement x + 1 ≥ 5. What is the truth value of P(-5)?
True
False
Either
Neither
Let D(x, y) denote the statement “x is the dean of the college of y at BPSU”. Determine the truth values of D(Rivera, CCST)
True
False
Let D(x, y) denote the statement “x is a program under the college of y at BPSU”. Determine the truth values of D(BSCS, CCST).
True
False
Let N(x, y) be the statement “x visited South Korea”, where the domain for x consists of all BSIT students of BPSU. Express the given quantifications in English: ∃xN(x)
There are BSIT students who has not visited South Korea
Some BSIT students visited South Korea
No BSIT student visited South Korea
Every BSIT student has visited South Korea.
Let N(x, y) be the statement “x visited South Korea”, where the domain for x consists of all BSIT students of BPSU. Express the given quantifications in English: ∃x¬N(x)
There are BSIT students who has not visited South Korea.
Some BSIT students visited South Korea.
No BSIT student visited South Korea.
Every BSIT student has visited South Korea.
Negate the statement, "There is no one in this class who knows Russian."
Everyone in this class knows Russian
There is one in this class who knows Russian.
Everyone in this class does not know Russian.
I know a Russian.
Determine a counterexample to this universally quantified statement, where the domain for all variable consists of all integers.
-1
1
0
none
Determine a counterexample to this universally quantified statement, where the domain for all variables consists of all integers.
0
-1
both 0 and -1
neither 0 nor -1
