記憶度
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問題一覧
1
It is also known as the propositional function or open sentence
Predicate Logic
2
Which statement is FALSE about Predicte Logic
It is commanding statement
3
Let P(x) denote the statement “x – 3 > 5”. What is the truth value if P(2)
False
4
Let a ternary predicate Q(x, y, z) denote the statement “x + y = z”. What is the truth value if Q(25,25,50);
True
5
Let Q(x) denote the statement “x is an integer”. What ie the truth value of Q(8/2)
True
6
Which Statement is TRUE about the domain of discourse
It is the set from which the value of the subject x may be chosen for a given P(x)
7
It expresses the extent to which a predicate P is TRUE (or FALSE) for ALL possible values in the universe of discourse or for SOME value(s) in the universe of discourse
Quantifiers
8
It is represented by ", which means “FOR ALL”
∀
9
It is represented by $, which means “THERE EXISTS”
∃
10
It is a quantifier that appears within the scope of another quantifier
Nested Quantifier
11
For every real number x and for every real number y, x + y = 5. Which is the correct expression of this sentence as a Nested quantifier?
∀x∀yP(x,y)
12
There exists a real number x and a real number y such that x + y = 5. Which is the correct expression of this sentence as a Nested quantifier?
∃x∃yP(x,y)
13
For all real numbers x, there exists a real number y such that x + y = 5. Which is the correct expression of this sentence as a Nested quantifier?
∀x∃yP(x,y)
14
There exists real numbers x, for all real numbers y such that x + y = 5. Which is the correct expression of this sentence as a Nested quantifier?
∃x∀yP(x,y)
15
Let P (x,y) be the statement “Student x has taken class y”, where the domain for x consists of ALL STUDENTS and y consists of ALL COMPUTER ENGINEERING COURSES at your school ∀x∀yP(x,y) What is the correct English expression of this Nested Quantifier?
All Students has taken every computer engineering course.
16
Let the DOMAIN of x and y be real numbers P(x,y) denotes "x + y = 0" What is the truth value of ∀x∀yP(x,y)
False
17
Let the DOMAIN of x and y be real numbers P(x,y) denotes "x + y = 0" What is the truth value of the ∃x∀yP(x,y)
False
18
Let the DOMAIN of x and y be real numbers P(x,y) denotes "x + y = 0" What is the truth value of the ∀x∃yP(x,y)
True
19
Let the DOMAIN of x and y be real numbers P(x,y) denotes "x + y = 0" What is the truth value of the ∃x∃yP(x,y)
True
20
It is an element/object for which P(x) is FALSE
Counterexample
21
What is the Negation of this expression ∀x∀yP(x,y)
∃x∃y ¬P(x,y)
22
What is the Negation of this expression ∃xP(x)
∀x ¬P(x)
23
Let P(x,y) be the statement "x hates y" The DOMAIN of both x and y consists of all the people in the world ∀x∀yP(x,y) What is the English translation of these Quantifiers?
Everyone hates everyone.
24
Let P(x,y) be the statement "x hates y" The DOMAIN of both x and y consists of all the people in the world ∀x∃yP(x,y) What is the English translation of these Quantifiers?
For everyone, everyone hates someone.
25
Let P(x,y) be the statement "x hates y" The DOMAIN of both x and y consists of all the people in the world ∃x∀yP(x,y) What is the English translation of these Quantifiers?
There is someone who hates everyone.
26
Let P(x,y) be the statement "x hates y" The DOMAIN of both x and y consists of all the people in the world ∃x∃yP(x,y) What is the English translation of these Quantifiers?
Someone hates them.
27
It is a well-defined and an unordered collection/aggregate of objects of any kind; the objects are referred as elements, or members of the set
Set
28
The objects in a set are referred as ______, or members of the set
elements
29
The objects in a set are referred as ______, or members of the set
elements
30
Are sets denoted by upper case/capital letters
True
31
It is the set that contains all elements relevant to a particular discussion or problem
Universal Set
32
The number of elements in a set are NOT COUNTABLE
Infinite Set
33
The number of elements in a set are COUNTABLE
Finite Set
34
It states that the two (2) given sets are identical, if and only if they contain EXACTLY THE SAME elements
Set Equality
35
A = {9, 2, 7, -3}, B = {7, 9, -3, 2} Is an example of?
Set Equality
36
{...0,1,2,3,4} Is an example of?
Infinite Set
37
{cats,dogs,...,pigs,cows} Is an example of?
Finite Set
38
It is a set contained in a larger set or in an equal set
Subset
39
Determine whether set A is a subset of set B A = {rain, snow, sleet} B = { rain, snow, sleet, hail }
True
40
It is a subset that is not equal to the set it belongs to
Proper Subset
41
What does this venn diagram represent?
Set Compliment
42
What does this venn diagram represent?
Set Intersection
43
What does this venn diagram represent?
Set Union
44
What does this venn diagram represent?
Set Difference
45
What does this venn diagram represent?
Symmetric Difference
46
The formula for number of proper subsets of a set with n elements is
2^n - 1
47
The formula for number of subsets of a set with n elements is
2^n
48
What is the union of sets A = {1, 2, 3} and B = {3, 4, 5}?
A. {1, 2, 3, 4, 5}
49
If A = {1, 2, 3, 4, 5} and B = {3, 4}, what is A - B (set difference)?
{1 ,2, 5}
50
Given sets A = {1, 2, 3} and B = {2, 3, 4}, find the intersection of A and B.
B. {2, 3}
51
What is the complement of set A = {1, 2, 3, 4} in the universal set U = {1, 2, 3, 4, 5}?
B. {5}
52
If A = {1, 2, 3} and B = {3, 4, 5}, what is the symmetric difference of sets A and B?
A {1, 2, 4, 5}