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Mock Test_5-11_Logic and Set Theory

Total questions: 130

Worksheet time: 4hrs 20mins

Name
Class
Date
1.

This type of set has no element in common.

a)

Joint Set

b)

Disjoint set

c)

Null set

d)

Subset

2.

It is a well-defined list, collection or class of objects.

a)

Subset

b)

set

c)

Superset

d)

powerset

3.

In this set, every element of set A is also a member of set B. What is this set called?

a)

Superset

b)

Subset

c)

Power set

d)

Set

4.

This set has no element.

a)

Equivalent set

b)

Null set

c)

Subset

d)

Universal set

5.

A set that has limitations in element.

a)

Null set

b)

Equivalent set

c)

Finite set

d)

Infinite set

6.

This is a set that has common element.

a)

Joint set

b)

Finite set

c)

Powerset

d)

Equal set

7.

A set that has no limitation.

a)

Infinite set

b)

Finite set

c)

Subset

d)

None of the above

8.

This is a set which is also called as empty set.

a)

Null set

b)

Disjoint set

c)

Complementary

d)

Universal set

9.

A U B stands for?

a)

Set A intersects set B

b)

Set A union set B

c)

Set A is a subset of set B

d)

Set B intersects set A

10.

All are operations of set except:

a)

Union

b)

Power set

c)

Intersection

d)

Difference

11.

Which of the following is a null set?

a)

S= {set of even numbers}

b)

F= {set of my favorite food}

c)

G= {}

d)

h= {}

12.

Which are the elements of set A if A= {set of even numbers that are prime numbers}?

a)

A= {}

b)

A= {2}

c)

A= {2,4,6,8}

d)

None of the above

13.

What are the elements of set C if C= {set of prime numbers from 1-10}?

a)

C= {1,3,5,7,9}

b)

C= {1,2,3,5,7}

c)

C= {2,3,5,7}

d)

C= {1,2,3,5,7,9}

14.

What is D U E if D= (a, b, c, d) and E= {e, f, g, h}

a)

D U E = {a, e}

b)

D U E= {a, b, c, d, e, f, g, h}

c)

D U E= {a, b, c, d}

d)

D U E= {e, f, g, h}

15.

What is F intersect G if F= {1,3,5,7,8} and G= {8,9,10,11}?

a)

F ∩ G= {}

b)

F ∩ G= {8}

c)

F ∩  G= {1,3,5,7,9,10,11}

d)

F ∩ G= {1,3,5,7,8,9,10,11}

16.

Which of the following set if a null set?

a)

G= {set of odd numbers that are divisible by 2}

b)

H= {set of prime numbers}

c)

j= {}

d)

J= ()

17.

What is the difference of sets I and J if I= {3,6,9,12,15} and J= {15,9,3,12,6}?

a)

I - J= {-12, -3, 6, 0, 9}

b)

I - J= {}

c)

I - J= {3, 6, 9, 12, 15}

d)

I - J= {12, 3, -6, 0, -9}

18.

K= {2, 4, 6, 8, . . .} Is what type of set?

a)

Finite

b)

Infinite

c)

 Set

d)

Universal set

19.

What are the elements of L= {set of composite numbers from 2 to 20}?

a)

L= {2, 4, 6, 8, 10, . . . ,20}

b)

L= {4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20}

c)

L= {2, 4, 6, 8, 10, 12, 14, 16, 18, 20}

d)

L= {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}

20.

Which of the following is not an example of set?

a)

A= (set of favorite color)

b)

B= {2,3)

c)

C= {}

d)

D= {blue, red, green}

21.

Check that the following statements are tautology or not.

a)

Tautology

b)

Not tautology

22.

Check that the following statements are tautology or not.

a)

Tautology

b)

Not tautology

23.

Check that the following statements are tautology or not.

a)

Tautology

b)

Not tautology

24.

Check that the following statements are tautology or not.

a)

Tautology

b)

Not tautology

25.

Check that the following statements are tautology or not.

a)

Tautology

b)

Not tautology

26.

Which logical operator represents disjunction?

a)

NOT

b)

AND

c)

OR

d)

XOR

27.

"It’s raining and it’s not raining" is an example of

a)

Contradiction

b)

Tautology

c)

Valid sentence

d)

None of the above

28.

Truth tables are used to define

a)

Logical Connectives

b)

Logics

c)

symbols

d)

Tabular form

29.

It is a compound statement that is true for all possible combinations of truth values of the propositional variables also called logically true.

a)

Contradiction

b)

Tautology

c)

Compound Statement

d)

True Value

30.

It is a compound statement that is false for all possible combinations of truth values of the propositional variables also called logically false or absurdity.

a)

Contradiction

b)

Tautology

c)

Discrete

d)

Logic

31.

It is a declarative sentence which is either true or false, but not both.

a)

Statement

b)

True variable

c)

Connectives

d)

Symbolic logic

32.

The science or study of how to evaluate arguments and reasoning

a)

Logic

b)

Discrete

c)

Mathematics

d)

Symbolic

33.

The __ of a statement is the truth and falsity of the statement

a)

true value

b)

truth table

c)

connectives

d)

symbols

34.

"The burglar alarm will go off if either the door or the window or both are opened". This is an example of which type of Logic?

a)

AND

b)

OR

c)

NOT

d)

NOR

35.

What type of logic is this table showing:

a)

AND

b)

OR

c)

NOR

d)

XOR

36.

If U = {1, 3, 5, 7, 9, 11, 13}, then which of the following are subsets of U.

a)

A = {2, 4}

b)

B = {13, 7, 9, 11, 5, 3, 1}

c)

C = {2, 3, 4, 5}

d)

D = {0}

37.

Let A = {2, 3, 4, 5, 6, 7} B = {2, 4, 7, 8) C = {2, 4}. Fill in the blanks by ⊂ or ⊄ to make the resulting statements true.

B __ A

a)

⊂

b)

⊄

38.

Let A = {2, 3, 4, 5, 6, 7} B = {2, 4, 7, 8) C = {2, 4}. Fill in the blanks by ⊂ or ⊄ to make the resulting statements true.

C __ A

a)

⊂

b)

⊄

39.

Let A = {2, 3, 4, 5, 6, 7} B = {2, 4, 7, 8) C = {2, 4}. Fill in the blanks by ⊂ or ⊄ to make the resulting statements true.

B __ C

a)

⊂

b)

⊄

40.

Let A = {2, 3, 4, 5, 6, 7} B = {2, 4, 7, 8) C = {2, 4}. Fill in the blanks by ⊂ or ⊄ to make the resulting statements true.

∅ __ B

a)

⊂

b)

⊄

41.

Let A = {2, 3, 4, 5, 6, 7} B = {2, 4, 7, 8) C = {2, 4}. Fill in the blanks by ⊂ or ⊄ to make the resulting statements true.

C __ C

a)

⊂

b)

⊄

42.

Let A = {2, 3, 4, 5, 6, 7} B = {2, 4, 7, 8) C = {2, 4}. Fill in the blanks by ⊂ or ⊄ to make the resulting statements true.

C __ B

a)

⊂

b)

⊄

43.

Which of the following sets is a universal set for the other four sets?

a)

The set of even natural numbers

b)

The set of odd natural numbers

c)

The set of natural numbers

d)

The set of negative numbers

e)

The set of integers

44.

True or False: Let P = {3, 5, 7, 9, 11} Q = {9, 11, 13} R = {3, 5, 9} S = {13, 11} then R ⊂ P

a)

True

b)

False

45.

True or False: Let P = {3, 5, 7, 9, 11} Q = {9, 11, 13} R = {3, 5, 9} S = {13, 11} then Q ⊂ P

a)

True

b)

False

46.

True or False: Let P = {3, 5, 7, 9, 11} Q = {9, 11, 13} R = {3, 5, 9} S = {13, 11} then R ⊂ S

a)

True

b)

False

47.

True or False: Let P = {3, 5, 7, 9, 11} Q = {9, 11, 13} R = {3, 5, 9} S = {13, 11} then S ⊂ Q

a)

True

b)

False

48.

True or False: Let P = {3, 5, 7, 9, 11} Q = {9, 11, 13} R = {3, 5, 9} S = {13, 11} then S ⊂ P

a)

True

b)

False

49.

True or False: Let P = {3, 5, 7, 9, 11} Q = {9, 11, 13} R = {3, 5, 9} S = {13, 11} then P ⊄ Q

a)

True

b)

False

50.

True or False: Let P = {3, 5, 7, 9, 11} Q = {9, 11, 13} R = {3, 5, 9} S = {13, 11} then Q ⊄ R

a)

True

b)

False

51.
A point that bisects a segment into two congruent segments
a)
midpoint
b)
ray
c)
skew lines
d)
angle
52.
A rule that is accepted without proof
a)
postulate
b)
theorem
c)
proof
d)
conditional statement
53.
A statement proved true using axioms, postulates, or other theorems known to be true
a)
theorem
b)
angle
c)
transversal
d)
Euclidean Geometry
54.

A mathematical statement that requires proof is a

a)

theorem

b)

postulate

c)

definition

d)

conjecture

55.

A mathematical statement that does NOT require proof is a

a)

theorem

b)

postulate

c)

conjecture

d)

definition

56.

Which of the following theorems/postulates would verify that ∠COB & ∠AOD are congruent?

a)

Straight Angle Theorem

b)

Congruent Compliments Theorem

c)

Vertical Angles Theorem

d)

Linear Pair Theorem

57.

If AB=50, which definition would explain why AM=25?

a)

Definition of Congruent

b)

Definition of Midpoint

c)

Definition of Segment

58.

Given that AM=MB, what definition allows us to say that the respective segments are congruent?

a)

Definition of Congruent

b)

Definition of Midpoint

c)

Definition of Segment

59.

If the ray HK is bisecting ∠GHJ, then what reason would you use to say ∠GHK is congruent to ∠KHJ?

a)

Definition of Midpoint

b)

Definition of Angle Bisector

c)

Definition of Congruent

d)

Definition of Segment Bisector

60.

The property demonstrated by the following:


If AB=CD and CD=EF, then AB=EF

a)

reflexive

b)

substitution

c)

segment addition

d)

transitive

61.

In the drawing, line l || m. What is true of angles 1 and 2 and why?

a)

They are supplementary by same side interior angles theorem.

b)

They are congruent by alternate interior angles theorem

c)

They are congruent by alternate exterior angles theorem.

d)

They are congruent by corresponding angles theorem.

62.

Alternate Exterior Angles Theorem

a)

If a pair of parallel lines is cut by a traversal, then alternate exterior angles are congruent.

b)

If a pair of parallel lines is cut by a traversal, then alternate exterior angles are supplementary.

c)

If alternate exterior angles are congruent, then a pair of parallel lines is cut by a traversal.

d)

If alternate exterior angles are supplementary, then a pair of parallel lines is cut by a traversal.

63.

Which property is used here; "If AB=CD, then CD=AB"?

a)

Reflexive Property

b)

Symmetric Property

c)

Transitive Property

64.
In a triangle, how many total degrees are there?
a)
100%
b)
180 degrees
c)
it varies
d)
360 degrees
65.

Who is the father of geometry?

a)

René Descartes

b)

Fibonacci

c)

Euclid of Alexadria

d)

Pythagoras

66.

What refers to a mathematical statement that is regarded as “self-evident” and accepted without proof?

a)

formula

b)

axiom

c)

theorem

d)

fact

67.

What refers to a set of infinitely many points that extend forever in both directions?

a)

line

b)

point

c)

ray

d)

line segment

68.

You can join any _______ using exactly one straight line segment.

a)

one line

b)

one point

c)

two lines

d)

two points

69.

Any two right angles are __________.

a)

congruent

b)

perpendicular

c)

parallel

d)

opposite

70.

The word Origami comes from the Japanese oru (to fold) and kami (_______).

a)

cut

b)

pen

c)

paper

d)

fold

71.

You can extend any line segment to an infinitely long line.

a)

TRUE

b)

FALSE

72.

You can use scissors in creating origami.

a)

TRUE

b)

FALSE

73.

There are four axioms published by Euclid.

a)

TRUE

b)

FALSE

74.

You can apply Euclid's axiom in creating origami.

a)

TRUE

b)

FALSE

75.

Which of these sets of numbers is arranged from least to greatest?

a)
b)
c)
d)
76.

Which of these sets of numbers is arranged from greatest to least?

a)
b)
c)
d)
77.

Which of these sets of numbers is arranged in ascending order?

a)
b)
c)
d)
78.

Which of these sets of numbers is arranged in descending order?

a)
b)
c)
d)
79.

How is 41st written in words?

a)

forty-first

b)

forty-one

c)

fourth

d)

one-fourth

80.

Monday is the __________ day of the week.

a)

first

b)

second

c)

third

d)

one

81.

What is the Ordinal number for 23?

a)

23st

b)

23nd

c)

23rd

d)

23th

82.

What is the Ordinal number for 52?

a)

52st

b)

52nd

c)

53rd

d)

53th

83.

What is the 8th month of the year?

a)

June

b)

July

c)

August

d)

September

84.

What is the Ordinal number for 29?

a)

29st

b)

29nd

c)

29rd

d)

29th

85.

Which number has the greatest value?

a)

177,876

b)

177,786

c)

177,687

d)

177,678

86.

Which number has the smaller value?

a)

888,001

b)

888,002

c)

888, 010

d)

888,100

87.

Which of these math sentences are true?

(There are 3 which are true. Make sure to check all three)

a)

1,234 = 1,234

b)

898 > 976

c)

8,123 < 8,456

d)

381,098 > 381,012

88.

Molly has 200 Pokemon cards, Lee has 301 Pokemon cards, and Michael has 196 Pokemon cards. Who has the least amount of cards?

a)

Molly

b)

Lee

c)

Michael

d)

They all have the same amount

89.

Edward's mom bought a car for Php 912,790. Lucy's mom bought a motorcycle for Php 314,368. Rafael's dad bought a bicycle for Php 23,999. Put the amounts in order from greatest to least.

a)

₱912,790; ₱314,368; ₱23,999

b)

₱23,999; ₱314,368; ₱912,790

c)

₱314,368; ₱23,999, ₱912,790

d)

₱314,368; ₱912,790; ₱23,999

90.
Which comparison is true?
a)
726,274 > 937,284
b)
19,483 = 83,625
c)
344,583 < 593,720
d)
638,583 = 748,273
91.

726,847 _____ 726,874

a)

<<

b)

>>

c)

==

92.

Which is in order from least to greatest?

a)

287, 985, 345

b)

151,000, 251,200, 251,300

c)

765, 1,098, 432

d)

41,300, 41,200, 41,000

93.

Which of the following sets of numbers is in ascending order.

a)

23,345; 32,908; 32,127

b)

834,103; 677,301; 123,031

c)

898,032; 765.032; 924.032

d)

123,031; 677,301; 834,103

94.

Choose the correct sign to compare these numbers:

98,209 ____ 99,209

a)

<

b)

>

c)

=

95.
What is the symbol for greater than?
a)
<
b)
>
c)
=
d)
-
96.
What is the symbol for less than?
a)
<
b)
>
c)
=
d)
-
97.

Which symbol will make this statement true? 365, 700 ____185, 205

a)

<

b)

>

c)

+

d)

=

98.

Which number is missing?

12,793; ________; 12,795; 12,796

a)

12,792

b)

12,794

c)

12,797

d)

12,749

99.

Arrange these numbers in the decreasing order.

101,409; 110,904; 76,490; 54,049

a)

54,049; 76,490; 110,904; 101,409

b)

54,049; 76,490; 101,409; 110,904

c)

110,904; 101,409; 76,490; 54,049

d)

110,904; 76,490; 54,049; 101,409;

100.

Which of the following describes a set?

a)

well-defined

b)

ordered

c)

ambiguous

d)

unordered

101.

Which of the following is a well-defined set?

a)

Most Beautiful Female Artists in the Philippines

b)

Top 10 Trending Movies in Netflix

c)

Best places to travel in the world

d)

Top 5 best artist of all time

102.

Sets with uncountable number of elements.

a)

Finite Set

b)

Unbounded Sets

c)

Infinite Set

d)

Unending Set

103.

Which of the following sets are equal?

a)

A={9,7,5,3,1}

b)

B={2,4,6,8}

c)

C={x|x=positive odd integer less than 10}

d)

C={x|x=negative even integer less than 10}

104.

Which of the following sets are written in Roster Method?

a)

A={9,7,5,3,1}

b)

B={2,4,6,8,...}

c)

C={x|x=positive odd integer less than 10}

d)

C={x|x=negative even integer less than 10}

105.

Which of the following sets is an infinite set?

a)

A={9,7,5,3,1}

b)

B={2,4,6,8,...}

c)

C={x|x=positive odd integer less than 10}

d)

C={x|x=negative even integer less than 10}

106.

Which of the following sets are written in Set Builder Method?

a)

A={9,7,5,3,1}

b)

B={2,4,6,8,...}

c)

C={x|x=positive odd integer less than 10}

d)

C={x|x=negative even integer less than 10}

107.

Which of the following is/are subset of S={x|x is an english alphabet}?

a)

A={a,b,c,d}

b)

B={a,e,i,o,u}

c)

C={1,2,3,4,5}

d)

D={@,#,$,%,^}

108.

Which of the following is/are proper subset of S={x|x is an english alphabet}?

a)

A={a,b,c,d}

b)

B={a,e,i,o,u}

c)

C={1,2,3,4,5}

d)

D={@,#,$,%,^}

109.

Given that A={@,#,$,%,^,&}, what is n(A)?

a)

6

b)

5

c)

4

d)

infinite

110.

How many subsets can be formed from A={S,E,T}?

a)

6

b)

7

c)

8

d)

infinite

111.

How many proper subsets can be formed from A={S,E,T}?

a)

6

b)

7

c)

8

d)

infinite

112.

Which of the following is a subset of A={S,E,T}?

a)

{A,B}

b)

{ }

c)

{0}

d)

{$}

113.

Which of the following is a proper subset of A={S,E,T}?

a)

{S,E,T}

b)

{ }

c)

{0}

d)

{$}

114.

How many proper subsets can be made from the set of continents of the world?

a)

64

b)

60

c)

127

d)

128

115.

Given that U={x|x is an english aplhabet}, which of the following is the set complement of A={a,e,i,o,u}

a)

B={x|x is a consonant}

b)

B={b,c,d,f,g,h,j,k,l,m,n,p}

c)

B={A,E,I,O,U}

d)

B={}

116.

Let A={ q , w , e , r , t , y} and B={ q , u , a , r , t }. Which of the following is A - B.

a)

{ w , e , y}

b)

{ q , r , t}

c)

{ u , a }

d)

{ w , e , y , u , a }

117.

Let A={ 1,2,3,4,5 } and B={ 2,4,6 }. Which of the following is A U B.

a)

{ 1,2,3,4,5,6 }

b)

{ 1,3,5,6}

c)

{6 }

d)

{ 2,4 }

118.

 Let A={ 1,2,3,4,5 } and B={ 2,4,6 }. Which of the following is the symmetric difference of set A and set B?

a)

{ 1,2,3,4,5,6 }

b)

{ 1,3,5,6}

c)

{6 }

d)

{ 2,4}

119.

 Let A={ 1,2,3,4,5 } and B={ 2,4,6 }. Which of the following is A∩BA\cap B  ?

a)

{ 1,2,3,4,5,6 }

b)

{ 1,3,5,6}

c)

{6 }

d)

{ 2,4}

120.

What is the symbol for union?

a)

∪\cup

b)

∩\cap

c)

⊂\subset

d)

⊆\subseteq

121.

What is the symbol for intersection?

a)

∪\cup

b)

∩\cap

c)

⊂\subset

d)

⊆\subseteq

122.

How do you read this notation? A U B

a)

A union B

b)

A intersection B

c)

A is a subset of B

d)

A is a proper subset of B

123.

How do you read this notation? X ∩\cap  Y ?

a)

X intersection Y

b)

X union Y

c)

X is a subset of Y

d)

X is a proper subset of Y

124.

A = { m, a, t, h, s} B = { l, o , v, e, s } What is A U B?

a)

{ s }

b)

{ }

c)

{ m }

d)

{ m , a, t. h, l, o, v, e, s }

125.

Based on the given set, what are the elements in set A only?

a)

{ 1, 2, 3 }

b)

{ 4, 5, 6 }

c)

{ 7,8, 9 }

d)

{ }

126.

What are the elements in Both set A and set B? Or elements in set A that are also elements in set B?

a)

{ 1, 2, 3 }

b)

{ 4, 5, 6 }

c)

{ 7, 8, 9 }

d)

{ }

127.

What are the elements in set B only?

a)

{ }

b)

{ 7, 8, 9 }

c)

{ 1, 2, 3 }

d)

{4, 5, 6 }

128.

What are the elements in  A  ∩\cap  B  ∩\cap  C ?

a)

{ a }

b)

{ b }

c)

{ c }

d)

{ z }

129.

What is B U C ?

a)

{ b, c, x }

b)

{ a, w, b }

c)

{ a, y, c }

d)

{ w , x, y, z }

130.

In a survey of 100 students of a school, it was found that 49 liked watching football, 53 liked watching hockey and 62 liked watching basketball. Also, 27 liked watching football and hockey both, 29 liked watching basketball and hockey both and 28 liked watching football and basket ball both. 5 liked watching none of these games. How many students like watching all the three games?

a)

5

b)

13

c)

14

d)

15

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