In a given function f:X→Y, X is the co domain and Y is the domain
True
FalseCorrect
In a simple graph, the number of edges is equal to twice the sum of the degrees of the vertices.
FALSECorrect
IN combinations, the arrangement of the elements is in a specific order.
FalseCorrect
In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
720Correct
In set theory, N represents all natural numbers
TrueCorrect
False
In set theory, R represents all real numbers
TrueCorrect
False
In set theory, Z+ represents all natural numbers
True
FalseCorrect
In the absorption law, the set A ∪ (A ∩ B) is equivalent to A
TrueCorrect
False
In the absorption law, the setXÈ(X Ç Y)is equivalent to
Y
⋃
Æ
XCorrect
In the complement law, (A ∪ B) ∪ C = A ∪ (B ∪ C)
True
FalseCorrect
In the concept of identity law, the expression BÈÆis equivalent to
Æ
⋃
A
BCorrect
In the function f: A →B,f is the function while A is called the domain and B is the codomain
TrueCorrect
False
In the hierarchy of logical connectives, which has the second level of precedence?
OR
ANDCorrect
NOT
IMPLIES
In the relation R={(1,1),(1,2),(3,2), {1 and 2} are considered the domain
True
FalseCorrect
In the relation R={(1,1),(1,2),(3,2), {1 and 3} are considered the range
True
FalseCorrect
In the relation R={(a,1),(b,2),(c,2), {a, b,and c} are considered the domain
TrueCorrect
False
In the relationA × B = {(a, 2), (a, 7), (b, 2), (b, 7)}Dom(R) = {2,7}
True
FalseCorrect
In the relationA × B = {(a, 2), (a, 7), (b, 2), (b, 7)}Ran(R) = {a,b}
True
FalseCorrect
Indicate which, if any, of the following graphs G = (V, E, φ), |V | = 5, is not connected.
φ = ( a {1,2} b {2,3} c {1,2} d {1,3} e {2,3} f {4,5} )Correct
Indicate which, if any, of the following three graphs G = (V, E, φ), |V | = 5, is not isomorphic to any of the other two.
φ = (A {1,3} B {2,4} C {1,2} D {2,3} E {3,5} F {4,5} )Correct
Injective function is a function where in no two elements are mapped into the same image
TrueCorrect
False
Injective means we won't have two or more "A"s pointing to the same "B"
TrueCorrect
False
is a function from a subset of the set of integers.
sequenceCorrect
is a function which is both an injection and surjection. In other words, if every element of the codomain is the image of exactly one element from the domain
bijectionCorrect
Is it the beginning to be used more to infer or predict someone's behavior?
The voltage applied to crystal changes polarisation
transparent and polarised, bottom plate reflecting
Indirect emotion detectionCorrect
Light passes through the top plate and crystal
is the same truth value under any assignment of truth values to their atomic parts.
Logic equivalenceCorrect
is the simplest style of proof.
direct proofCorrect
It develops slowly and take a long time to go _____________
long wait
Conscious EmotionCorrect
punched card stacks or large data files prepared
line printer output
It is a connected graph containing no cycles.
treeCorrect
It is a rule that assigns each input exactly one output
functionCorrect
It is an algorithm for traversing or searching tree or graph data structures.
breadth first searchCorrect
It is the switching the hypothesis and conclusion of a conditional statement.
ConverseCorrect
It is used to measure GSR, facial expressions, gestures, body movement?
Sensing technologiesCorrect
softens edges by using shades of line colour
different colours for each pixel
also used for text
It refers to making products look, feel, and sound good
Allows rapid entry of text by experienced users
Key-press closes the connection, causing a character code to be sent
Visceral DesignCorrect
Most common text input device
Let ‘G’ be a connected planar graph with 20 vertices and the degree of each vertex is 3. Find the number of regions in the graph.
12Correct
Let A = {1, 2, 3, 4, 5} and B = {3, 4, 5, 6, 7} Find A U B
{1, 2, 3, 4, 5, 6, 7}Correct
Let A = {1, 2, 3, 4, 5} and B = {3, 4, 5, 6, 7} Find A\ B
{1, 2}Correct
Let A = {1, 2, 3, 4, 5} and B = {3, 4, 5, 6, 7} Find A∩ B
{3, 4, 5}Correct
Let A = {3, 4, 5}. Find the cardinality of P(A)
8Correct
of a a subset B of the codomain is the set f −1 (B) {x ∈ X : f (x) ∈ B}.
inverse imageCorrect
Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
210Correct
Paths start and stop at the same vertex.
falseCorrect
Proofs that is used when statements cannot be rephrased as implications.
Proof by ContradictionCorrect
Proposition 4.2.1
A graph T is a tree if and only if between every pair of distinct vertices of T there is a unique path.Correct
Proposition 4.2.3
Any tree with at least two vertices has at least two vertices of degree one.Correct
Proposition 4.2.4
4 Let T be a tree with v vertices and e edges. Then e v - 1.Correct
R = {(a, b), (a, c), (b, c), (d, a)}The given relation above has the following digraph
True
FalseCorrect
Read the problem below then answer the questions that follow:An advertising company conducted a survey on which brand of detergent is used by the residents in a Barangay Maligaya The results are: 35 residents use only Brand A, 23 residents use only Brand Band 40 residents use only Brand C They also came up with the following results: 15 residents both use brand A and B, 12 residents both use brand A and C, 10 residents both use brand B and C, and 5 residents use all three brandsHow many residents took part in the survey?
66 people took part on the surveyCorrect
98 people took part on the survey
67 people took part on the survey
97 people took part on the survey
Read the problem below then answer the questions that follow:An advertising company conducted a survey on which brand of detergent is used by the residents in a Barangay Maligaya The results are: 35 residents use only Brand A, 23 residents use only Brand Band 40 residents use only Brand C They also came up with the following results: 15 residents both use brand A and B, 12 residents both use brand A and C, 10 residents both use brand B and C, and 5 residents use all three brandsWhich of the following is the equivalent Venn Diagram of the paragraph above?
None of these
Read the problem below then answer the questions that follow:In a class of 40, 14 students are taking up Programming 1 and 29 are taking up Filipino 1 If 5 students are taking both classes, how many students are taking up Filipino 1 ONLY?
9
5
12
24Correct
Read the problem below then answer the questions that follow:In a class of 40, 14 students are taking up Programming 1 and 29 are taking up Filipino 1 If 5 students are taking both classes, how many students are taking up Programming 1 ONLY?
24
12
5
9Correct
Relations may exist between objects of the same set or between objects of two or more sets
TrueCorrect
False
Rule that states that every function can be described in four ways: algebraically (a formula), numerically (a table), graphically, or in words.
Rule of fourCorrect
Shneiderman's rules for mistake messages alludes to the detecting advances utilized to degree galvanic skin reaction (GSR), facial expressions, motions, body development
True
FalseCorrect
Solve for the value of n in : −4= n+7 over 6
-31Correct
surjective and injecive are opposites of each other
FalseCorrect
Tautological statement is a statement whose form is a tautology
TrueCorrect
False
Tautology are statements that are always TRUE regardless of the truth values of the proposition it contains
TrueCorrect
False
The ________________________ states that if event A can occur in m ways, and event B can occur in n disjoint ways, then the event “A or B” can occur in m + n ways
Additive principleCorrect
The ____is a subset of the codomain. It is the set of all elements which are assigned to at least one element of the domain by the function. That is, the range is the set of all outputs
rangeCorrect
The (->)is also called a conditional statement
TrueCorrect
False
The Broncos will win the Super Bowl or I’ll eat my hat.
Molecular - ConjunctionCorrect
The cardinality of {3, 5, 7, 9, 5} is 5.
FALSECorrect
The child of a child of a vertex is called
GrandchildCorrect
The contra-positive of X->Y is ~X->~Y
True
FalseCorrect
The converse of the statement x -> y is y -> x
TrueCorrect
False
The converse of X->Y is X->Y
True
FalseCorrect
The customers wore shoes
AtomicCorrect
The customers wore shoes and they wore socks
MolecularCorrect
The expression A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C) is based on the distributive law
TrueCorrect
False
The expression A∩B=B∩A is based on the commutative law
TrueCorrect
False
The expression A∪B=B∪A is based on the associative law
True
FalseCorrect
The expression X⊆Y is read as, "X is a subset of Y"