Chapter 2 Sets Functions And Groups Math 11th Class Punjab MCQ Tests
11th Class Math Chapter 2 MCQ Tests
Chapter 2 of 11th Class Math has 70 questions. If you take an online MCQ test, the system will randomly choose the questions. If you want to take the quiz by chapter then click the start test button.
Total Questions: 70
Total Marks: 70
Time: 70 Mins
Total Questions: 70
Total Marks: 70
Time: 70 Mins
70Min : 00 Sec Remaining
Question # 1
What inequality is defined in interval notation by ( − ∞ , 3 ] ∩ [ 1 , + ∞ )?
Question # 2
What is the inverse of the function f ( x ):
Question # 3
The graph of y = a | x − h | + k , has vertex ( h , k ) and is symmetric in the line, x = h. The graph is V-shaped. It opens up if?
Question # 4
If universal set U = N, I = { x | x is a natural number less than 10 } , S = { x | x is a natural number greater than 10 and less than 15 } , then ( I ∩ S )c = ?
Question # 5
If A ∪ B = { 1 , 2 , 3 } and C = { 5 , 6 } , then ( A ∪ B ) × C = ?
Question # 6
The theoretical form of ( p ∧ q ) ∧ r = p ∧ ( q ∧ r ) is:
Question # 7
67 × 76 = ?
Question # 8
If S = { a , b , c , d , e } , then how many proper subsets does the set S have?
Question # 9
If universal set U = N, I = { x | x is a natural number less than 10 } , S = { x | x is a natural number greater than 10 and less than 15 } , then ( I ∩ S )c = ?
Question # 10
Which two elements added to set B would make Set A and B equal? A = { March, April, June, November, December } , B = { June, November, April}.
Question # 11
Which of the following is an infinite group?
Question # 12
Fill in the blank, A ∩ ϕ = ϕ ∩ A =_____.
Question # 13
If * is a binary operation in A then:
Question # 14
The logical form of ( A ∪ B ) ∪ C = A ∪ ( B ∪ C ) is ?
Question # 15
Which one of the following is correct for all values of x and y by using deductive logic ?
Question # 16
What is the identity element of ( R − { 0 } , x ) ?
Question # 17
If proposition p is false and proposition q is also false then what is the truth value of p ⟷ p ?
Question # 18
The inverse of q → p is ?
Question # 19
The theoretical form of ∼ ( p ∨ q ) =∼ p ∧ ∼ q
Question # 20
How many inverses are there of an element of a group?
Question # 21
What does the diagram represent?
Question # 22
If G = { 1 , − 1 , ι , − ι } is group under multiplication, then inverse of − ι is?
Question # 23
The logical form of ( A ∩ B ) ∩ C = A ∩ ( B ∩ C ) is ?
Question # 24
If cost of one pizza is Rs. 20, then what is the cost of 48 pizzas ?
Question # 25
If universal set U = { 1 , 2 , 3 , … 20 } , A = { 1 , 2 , 3 , … 11 } , B = { x | x is a natural number less than 9 } , then ( A ∪ B )c = ?
Question # 26
What does function { ( 2 , 4 ) , ( 3 , 5 ) , ( 7 , 3 ) } say?
Question # 27
Which of the following is absurdity?
Question # 28
Which of the following disjunction of propositions is true?
Question # 29
Which one of the following functions is even?
Question # 30
Let A = { 1 , 0 , 3 } and B = { 4 , 0 , 2 } , then A ∩ B = ?
Question # 31
If universal set U = { 1 , 2 , 3 , … 15 } , I = { x | x is a natural number less than 11 } , S = { x | x is a natural number greater than 10 and less than 15 } , then ( I ∪ S )c = ?
Question # 32
Which of the following is an example of Aristotelian logic ?
Question # 33
If n ( A × B ) = 7, then possible binary operations of A × B are = ?
Question # 34
See the image and find the set of range.
Question # 35
What is the identity element of ( M2 , x ) ? Where M2 is a set of 2 × 2 matrices.
Question # 36
Stroudsburg middle school awarded 21 medals to students who excelled in art and 35 medals to students for proficiency in dramatics. Fifteen students received medals in both the categories, how many medals in all were awarded to the students?
Question # 37
If A × B = { ( 4 , − 5 ) , ( 7 , − 5 ) , ( 11 , − 5 ) , ( 4 , 3 ) , ( 7 , 3 ) , ( 11 , 3 ) } , then Which of the following is not a binary relation of A × B?
Question # 38
If f(x) = y then f −1 ( y ) is equal to :
Question # 39
The logical form of A ∩ ( B ∪ C ) = ( A ∩ B ) ∪ ( A ∩ C ) is ?
Question # 40
If f = { ( 1 , 3 ) , ( 2 , 1 ) , ( 3 , 4 ) , ( 4 , 6 ) } , and g = { ( 1 , 5 ) , ( 2 , 3 ) , ( 3 , 4 ) , ( 4 , 1 ) , ( 5 , 3 ) , ( 6 , 2 ) } , then g o f =?
Question # 41
Which of the following is not a finite group?
Question # 42
Which one of the following is the null set?
Question # 43
If A × B = { (2,-1), (3,-1), (5,-1), (2,-2), (3,-2), (5,-2) } , then which of the following is a binary relation of A × B ?
Question # 44
Which one of the following is correct for all values of x and y?
Question # 45
Given graph is of a quadratic function when _____.
Question # 46
If universal set U = { 1, 2, 3, 4, 5, 6, 7 } , A = { 1, 3 } and B = { 4, 5, 6 } , then ( A ∩ B )c = ?
Question # 47
Here is a function, written in function notation: F ( x ) = x - 4 , What is the INPUT in this function?
Question # 48
What is the range for the function g(x) = ex + 2 ?
Question # 49
If f is a function defined from R to R , is given by f ( x ) = 3 x − 5 , then f −1 ( x ) is given by
Question # 50
Which of the following is not an example of Aristotelian logic ?
Question # 51
If proposition p is true and proposition q is false then what is the truth value of p ⟷ p ?
Question # 52
Simplify
Question # 53
110 college freshmen were surveyed, 25 took physics, 45 took biology, 45 took mathematics, 10 took physics and mathematics, 8 took biology and mathematics, 6 took physics and biology, 5 took all three. How many students took biology, physics or mathematics?
Question # 54
Solve:
Question # 55
If A = { 1 , 2 , 4 , 6 , 7 , 8 , 9 } , B = { 1 , 2 , 4 , 6 } , then what is A - B = ?
Question # 56
If A = { x | x is an odd natural number less than 10 } , B = { x | x is an even natural number less than 10 } and C = { 11, 12, 15, 17 } , then A ∪ ( B ∪ C ) = ?
Question # 57
What is the domain of the function, g ( x ) = l n ( x − 4 )?
Question # 58
Classify the set, A = Set consisting of names of men with age 300.
Question # 59
If universal set U = { 1 , 2 , 3 , … 15 } , I = { x | x is a natural number less than 11 } , S = { x | x is a natural number greater than 10 and less than 15 } , then ( I ∪ S )c = ?
Question # 60
Difference between the graphs of:
Question # 61
In a group of 20 students, 5 read statistics, 3 read physics and remaining read mathematics. Find how many read mathematics ?
Question # 62
Identity element of a set X with respect to intersection in P ( X ) is
Question # 63
A survey of 1110 students to know the number of students who use different types of transportation as the means for going school. In the survey, it was reported that 400 students use metro bus and 300 students use bikes, 100 students use both motor car and metro bus, and 80 students use both motor car and bikes. Also, each student uses at least one of the three transportation, 30 students use both metro bus and bikes, 20 students use all the three types of transportation for going school. How many students use motor cars as a transportation for going school?
Question # 64
If universal set U= { 1 , 2 , 3 , … . , 13 } , A = { 1 , 2 , 3 , 4 } , B = { x | x is an even natural number less than 10 } and C = { 1 , 2 , 5 , 7 } , then [ A ∪ ( B ∪ C ) ]c = ?
Question # 65
Let U = { 1 orange, 1 apricot, 1 pineapple, 1 banana, 1 mango, 1 apple, 1 kiwifruit } , B = { 1 orange, 1 pineapple, 1 banana, 1 apple } , then Ac = ?
Question # 66
n ( A ∪ B ∪ C ) = n ( A ) + n ( B ) + n ( C ) - n ( A ∩ B ) - n ( B ∩ C ) - n ( C ∩ A ) + _____?
Question # 67
f(x) has domain from which of the following options?
Question # 68
{ − 3 n : n ∈ Z } is an abelian group under?
Question # 69
Consider given sets P = { 19 , 38 , 57 , 76 , 95 } and Q = { 7 , 19 , 57 , 75 , 94 } . What is the symmetric difference of two sets ?
Question # 70
By using Aristotelian logic, if a and b are non-zero rational numbers. Which one of the following is false?
Total Questions
12345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455565758596061626364656667686970
Question # 1
What inequality is defined in interval notation by ( − ∞ , 3 ] ∩ [ 1 , + ∞ )?
Question # 2
What is the inverse of the function f ( x ):
Question # 3
The graph of y = a | x − h | + k , has vertex ( h , k ) and is symmetric in the line, x = h. The graph is V-shaped. It opens up if?
Question # 4
If universal set U = N, I = { x | x is a natural number less than 10 } , S = { x | x is a natural number greater than 10 and less than 15 } , then ( I ∩ S )c = ?
Question # 5
If A ∪ B = { 1 , 2 , 3 } and C = { 5 , 6 } , then ( A ∪ B ) × C = ?
Question # 6
The theoretical form of ( p ∧ q ) ∧ r = p ∧ ( q ∧ r ) is:
Question # 7
67 × 76 = ?
Question # 8
If S = { a , b , c , d , e } , then how many proper subsets does the set S have?
Question # 9
If universal set U = N, I = { x | x is a natural number less than 10 } , S = { x | x is a natural number greater than 10 and less than 15 } , then ( I ∩ S )c = ?
Question # 10
Which two elements added to set B would make Set A and B equal? A = { March, April, June, November, December } , B = { June, November, April}.
Question # 11
Which of the following is an infinite group?
Question # 12
Fill in the blank, A ∩ ϕ = ϕ ∩ A =_____.
Question # 13
If * is a binary operation in A then:
Question # 14
The logical form of ( A ∪ B ) ∪ C = A ∪ ( B ∪ C ) is ?
Question # 15
Which one of the following is correct for all values of x and y by using deductive logic ?
Question # 16
What is the identity element of ( R − { 0 } , x ) ?
Question # 17
If proposition p is false and proposition q is also false then what is the truth value of p ⟷ p ?
Question # 18
The inverse of q → p is ?
Question # 19
The theoretical form of ∼ ( p ∨ q ) =∼ p ∧ ∼ q
Question # 20
How many inverses are there of an element of a group?
Question # 21
What does the diagram represent?
Question # 22
If G = { 1 , − 1 , ι , − ι } is group under multiplication, then inverse of − ι is?
Question # 23
The logical form of ( A ∩ B ) ∩ C = A ∩ ( B ∩ C ) is ?
Question # 24
If cost of one pizza is Rs. 20, then what is the cost of 48 pizzas ?
Question # 25
If universal set U = { 1 , 2 , 3 , … 20 } , A = { 1 , 2 , 3 , … 11 } , B = { x | x is a natural number less than 9 } , then ( A ∪ B )c = ?
Question # 26
What does function { ( 2 , 4 ) , ( 3 , 5 ) , ( 7 , 3 ) } say?
Question # 27
Which of the following is absurdity?
Question # 28
Which of the following disjunction of propositions is true?
Question # 29
Which one of the following functions is even?
Question # 30
Let A = { 1 , 0 , 3 } and B = { 4 , 0 , 2 } , then A ∩ B = ?
Question # 31
If universal set U = { 1 , 2 , 3 , … 15 } , I = { x | x is a natural number less than 11 } , S = { x | x is a natural number greater than 10 and less than 15 } , then ( I ∪ S )c = ?
Question # 32
Which of the following is an example of Aristotelian logic ?
Question # 33
If n ( A × B ) = 7, then possible binary operations of A × B are = ?
Question # 34
See the image and find the set of range.
Question # 35
What is the identity element of ( M2 , x ) ? Where M2 is a set of 2 × 2 matrices.
Question # 36
Stroudsburg middle school awarded 21 medals to students who excelled in art and 35 medals to students for proficiency in dramatics. Fifteen students received medals in both the categories, how many medals in all were awarded to the students?
Question # 37
If A × B = { ( 4 , − 5 ) , ( 7 , − 5 ) , ( 11 , − 5 ) , ( 4 , 3 ) , ( 7 , 3 ) , ( 11 , 3 ) } , then Which of the following is not a binary relation of A × B?
Question # 38
If f(x) = y then f −1 ( y ) is equal to :
Question # 39
The logical form of A ∩ ( B ∪ C ) = ( A ∩ B ) ∪ ( A ∩ C ) is ?
Question # 40
If f = { ( 1 , 3 ) , ( 2 , 1 ) , ( 3 , 4 ) , ( 4 , 6 ) } , and g = { ( 1 , 5 ) , ( 2 , 3 ) , ( 3 , 4 ) , ( 4 , 1 ) , ( 5 , 3 ) , ( 6 , 2 ) } , then g o f =?
Question # 41
Which of the following is not a finite group?
Question # 42
Which one of the following is the null set?
Question # 43
If A × B = { (2,-1), (3,-1), (5,-1), (2,-2), (3,-2), (5,-2) } , then which of the following is a binary relation of A × B ?
Question # 44
Which one of the following is correct for all values of x and y?
Question # 45
Given graph is of a quadratic function when _____.
Question # 46
If universal set U = { 1, 2, 3, 4, 5, 6, 7 } , A = { 1, 3 } and B = { 4, 5, 6 } , then ( A ∩ B )c = ?
Question # 47
Here is a function, written in function notation: F ( x ) = x - 4 , What is the INPUT in this function?
Question # 48
What is the range for the function g(x) = ex + 2 ?
Question # 49
If f is a function defined from R to R , is given by f ( x ) = 3 x − 5 , then f −1 ( x ) is given by
Question # 50
Which of the following is not an example of Aristotelian logic ?
Question # 51
If proposition p is true and proposition q is false then what is the truth value of p ⟷ p ?
Question # 52
Simplify
Question # 53
110 college freshmen were surveyed, 25 took physics, 45 took biology, 45 took mathematics, 10 took physics and mathematics, 8 took biology and mathematics, 6 took physics and biology, 5 took all three. How many students took biology, physics or mathematics?
Question # 54
Solve:
Question # 55
If A = { 1 , 2 , 4 , 6 , 7 , 8 , 9 } , B = { 1 , 2 , 4 , 6 } , then what is A - B = ?
Question # 56
If A = { x | x is an odd natural number less than 10 } , B = { x | x is an even natural number less than 10 } and C = { 11, 12, 15, 17 } , then A ∪ ( B ∪ C ) = ?
Question # 57
What is the domain of the function, g ( x ) = l n ( x − 4 )?
Question # 58
Classify the set, A = Set consisting of names of men with age 300.
Question # 59
If universal set U = { 1 , 2 , 3 , … 15 } , I = { x | x is a natural number less than 11 } , S = { x | x is a natural number greater than 10 and less than 15 } , then ( I ∪ S )c = ?
Question # 60
Difference between the graphs of:
Question # 61
In a group of 20 students, 5 read statistics, 3 read physics and remaining read mathematics. Find how many read mathematics ?
Question # 62
Identity element of a set X with respect to intersection in P ( X ) is
Question # 63
A survey of 1110 students to know the number of students who use different types of transportation as the means for going school. In the survey, it was reported that 400 students use metro bus and 300 students use bikes, 100 students use both motor car and metro bus, and 80 students use both motor car and bikes. Also, each student uses at least one of the three transportation, 30 students use both metro bus and bikes, 20 students use all the three types of transportation for going school. How many students use motor cars as a transportation for going school?
Question # 64
If universal set U= { 1 , 2 , 3 , … . , 13 } , A = { 1 , 2 , 3 , 4 } , B = { x | x is an even natural number less than 10 } and C = { 1 , 2 , 5 , 7 } , then [ A ∪ ( B ∪ C ) ]c = ?
Question # 65
Let U = { 1 orange, 1 apricot, 1 pineapple, 1 banana, 1 mango, 1 apple, 1 kiwifruit } , B = { 1 orange, 1 pineapple, 1 banana, 1 apple } , then Ac = ?
Question # 66
n ( A ∪ B ∪ C ) = n ( A ) + n ( B ) + n ( C ) - n ( A ∩ B ) - n ( B ∩ C ) - n ( C ∩ A ) + _____?
Question # 67
f(x) has domain from which of the following options?
Question # 68
{ − 3 n : n ∈ Z } is an abelian group under?
Question # 69
Consider given sets P = { 19 , 38 , 57 , 76 , 95 } and Q = { 7 , 19 , 57 , 75 , 94 } . What is the symmetric difference of two sets ?
Question # 70
By using Aristotelian logic, if a and b are non-zero rational numbers. Which one of the following is false?
Total Questions
12345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455565758596061626364656667686970
Math MCQ Test by Topics
- +2.1 Introduction
- +2.1 Exercise
- +2.2 Operations on Sets
- +2.3 Venn Diagrams
- +2.2 Exercise
- +2.4 Operations on Three Sets
- +2.5 Properties of Union and Intersection
- +2.3 Exercise
- +2.6 Inductive and Deductive Logic
- +2.6.1 Aristotelian and non-Aristotelian logics
- +2.6.2 Symbolic logic
- +2.7 Implication or conditional
- +2.7.1 Biconditional
- +2.7.2 Conditionals related with a given conditional
- +2.7.3 Tautologies
- +2.7.4 Quantifiers
- +2.4 Exercise
- +2.8 Truth Sets, A link between Set Theory and Logic
- +2.5 Exercise
- +2.9 Relations
- +2.10 Functions
- +2.10.1 Linear and Quadratic Functions
- +2.11 Inverse of a function
- +2.6 Exercise
- +2.12 Binary Operations
- +2.12.1 Properties of Binary Operations
- +2.13 Groups
- +2.14 Solution of linear equations
- +2.15 Reversal law of inverses
Math
- Number Systems
- Sets, Functions and Groups
- Matrices and Determinanls
- Quadratic Equations
- Partial Fractions
- Sequences and Series
- Permutation, Combination and Probability
- Mathematical Inductions and Bionomial Theorem
- Fundamentals of Trigonometry
- Trigonometric Identities
- Trigonometric Functions and their Graphs
- Application of Trigonometry
- Inverse Trigonometric Functions
- Solution of Trignometric Equations
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