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
The logical form of ( A ∪ B ) ∪ C = A ∪ ( B ∪ C ) is ?
Question # 2
The theoretical form of ( p ∧ q ) ∧ r = p ∧ ( q ∧ r ) is:
Question # 3
67 × 76 = ?
Question # 4
Let A = { 1 , 0 , 3 } and B = { 4 , 0 , 2 } , then A ∩ B = ?
Question # 5
What is the inverse of the function f ( x ):
Question # 6
What is the identity element of ( M2 , x ) ? Where M2 is a set of 2 × 2 matrices.
Question # 7
If * is a binary operation in A then:
Question # 8
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 # 9
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 # 10
Which one of the following is the null set?
Question # 11
Fill in the blank, A ∩ ϕ = ϕ ∩ A =_____.
Question # 12
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 # 13
Simplify
Question # 14
Solve:
Question # 15
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 # 16
If universal set U = { 1, 2, 3, 4, 5, 6, 7 } , A = { 1, 3 } and B = { 4, 5, 6 } , then ( A ∩ B )c = ?
Question # 17
If G = { 1 , − 1 , ι , − ι } is group under multiplication, then inverse of − ι is?
Question # 18
The logical form of ( A ∩ B ) ∩ C = A ∩ ( B ∩ C ) is ?
Question # 19
Which of the following is absurdity?
Question # 20
If S = { a , b , c , d , e } , then how many proper subsets does the set S have?
Question # 21
If proposition p is true and proposition q is false then what is the truth value of p ⟷ p ?
Question # 22
What is the range for the function g(x) = ex + 2 ?
Question # 23
What does function { ( 2 , 4 ) , ( 3 , 5 ) , ( 7 , 3 ) } say?
Question # 24
The theoretical form of ∼ ( p ∨ q ) =∼ p ∧ ∼ q
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
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 # 27
Which one of the following functions is even?
Question # 28
If n ( A × B ) = 7, then possible binary operations of A × B are = ?
Question # 29
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 # 30
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 # 31
How many inverses are there of an element of a group?
Question # 32
Which of the following is not an example of Aristotelian logic ?
Question # 33
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 # 34
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 # 35
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 # 36
What is the domain of the function, g ( x ) = l n ( x − 4 )?
Question # 37
If f(x) = y then f −1 ( y ) is equal to :
Question # 38
In a group of 20 students, 5 read statistics, 3 read physics and remaining read mathematics. Find how many read mathematics ?
Question # 39
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 # 40
Here is a function, written in function notation: F ( x ) = x - 4 , What is the INPUT in this function?
Question # 41
Identity element of a set X with respect to intersection in P ( X ) is
Question # 42
The inverse of q → p is ?
Question # 43
Given graph is of a quadratic function when _____.
Question # 44
What does the diagram represent?
Question # 45
Which of the following is not a finite group?
Question # 46
Which of the following is an infinite group?
Question # 47
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 # 48
By using Aristotelian logic, if a and b are non-zero rational numbers. Which one of the following is false?
Question # 49
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 # 50
If cost of one pizza is Rs. 20, then what is the cost of 48 pizzas ?
Question # 51
Difference between the graphs of:
Question # 52
The logical form of A ∩ ( B ∪ C ) = ( A ∩ B ) ∪ ( A ∩ C ) is ?
Question # 53
f(x) has domain from which of the following options?
Question # 54
What inequality is defined in interval notation by ( − ∞ , 3 ] ∩ [ 1 , + ∞ )?
Question # 55
n ( A ∪ B ∪ C ) = n ( A ) + n ( B ) + n ( C ) - n ( A ∩ B ) - n ( B ∩ C ) - n ( C ∩ A ) + _____?
Question # 56
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 # 57
If A = { 1 , 2 , 4 , 6 , 7 , 8 , 9 } , B = { 1 , 2 , 4 , 6 } , then what is A - B = ?
Question # 58
Which of the following disjunction of propositions is true?
Question # 59
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 # 60
{ − 3 n : n ∈ Z } is an abelian group under?
Question # 61
Which one of the following is correct for all values of x and y by using deductive logic ?
Question # 62
What is the identity element of ( R − { 0 } , x ) ?
Question # 63
Which of the following is an example of Aristotelian logic ?
Question # 64
If proposition p is false and proposition q is also false then what is the truth value of p ⟷ p ?
Question # 65
See the image and find the set of range.
Question # 66
If A ∪ B = { 1 , 2 , 3 } and C = { 5 , 6 } , then ( A ∪ B ) × C = ?
Question # 67
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 # 68
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 # 69
Classify the set, A = Set consisting of names of men with age 300.
Question # 70
Which one of the following is correct for all values of x and y?
Total Questions
12345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455565758596061626364656667686970
Question # 1
The logical form of ( A ∪ B ) ∪ C = A ∪ ( B ∪ C ) is ?
Question # 2
The theoretical form of ( p ∧ q ) ∧ r = p ∧ ( q ∧ r ) is:
Question # 3
67 × 76 = ?
Question # 4
Let A = { 1 , 0 , 3 } and B = { 4 , 0 , 2 } , then A ∩ B = ?
Question # 5
What is the inverse of the function f ( x ):
Question # 6
What is the identity element of ( M2 , x ) ? Where M2 is a set of 2 × 2 matrices.
Question # 7
If * is a binary operation in A then:
Question # 8
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 # 9
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 # 10
Which one of the following is the null set?
Question # 11
Fill in the blank, A ∩ ϕ = ϕ ∩ A =_____.
Question # 12
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 # 13
Simplify
Question # 14
Solve:
Question # 15
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 # 16
If universal set U = { 1, 2, 3, 4, 5, 6, 7 } , A = { 1, 3 } and B = { 4, 5, 6 } , then ( A ∩ B )c = ?
Question # 17
If G = { 1 , − 1 , ι , − ι } is group under multiplication, then inverse of − ι is?
Question # 18
The logical form of ( A ∩ B ) ∩ C = A ∩ ( B ∩ C ) is ?
Question # 19
Which of the following is absurdity?
Question # 20
If S = { a , b , c , d , e } , then how many proper subsets does the set S have?
Question # 21
If proposition p is true and proposition q is false then what is the truth value of p ⟷ p ?
Question # 22
What is the range for the function g(x) = ex + 2 ?
Question # 23
What does function { ( 2 , 4 ) , ( 3 , 5 ) , ( 7 , 3 ) } say?
Question # 24
The theoretical form of ∼ ( p ∨ q ) =∼ p ∧ ∼ q
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
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 # 27
Which one of the following functions is even?
Question # 28
If n ( A × B ) = 7, then possible binary operations of A × B are = ?
Question # 29
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 # 30
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 # 31
How many inverses are there of an element of a group?
Question # 32
Which of the following is not an example of Aristotelian logic ?
Question # 33
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 # 34
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 # 35
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 # 36
What is the domain of the function, g ( x ) = l n ( x − 4 )?
Question # 37
If f(x) = y then f −1 ( y ) is equal to :
Question # 38
In a group of 20 students, 5 read statistics, 3 read physics and remaining read mathematics. Find how many read mathematics ?
Question # 39
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 # 40
Here is a function, written in function notation: F ( x ) = x - 4 , What is the INPUT in this function?
Question # 41
Identity element of a set X with respect to intersection in P ( X ) is
Question # 42
The inverse of q → p is ?
Question # 43
Given graph is of a quadratic function when _____.
Question # 44
What does the diagram represent?
Question # 45
Which of the following is not a finite group?
Question # 46
Which of the following is an infinite group?
Question # 47
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 # 48
By using Aristotelian logic, if a and b are non-zero rational numbers. Which one of the following is false?
Question # 49
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 # 50
If cost of one pizza is Rs. 20, then what is the cost of 48 pizzas ?
Question # 51
Difference between the graphs of:
Question # 52
The logical form of A ∩ ( B ∪ C ) = ( A ∩ B ) ∪ ( A ∩ C ) is ?
Question # 53
f(x) has domain from which of the following options?
Question # 54
What inequality is defined in interval notation by ( − ∞ , 3 ] ∩ [ 1 , + ∞ )?
Question # 55
n ( A ∪ B ∪ C ) = n ( A ) + n ( B ) + n ( C ) - n ( A ∩ B ) - n ( B ∩ C ) - n ( C ∩ A ) + _____?
Question # 56
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 # 57
If A = { 1 , 2 , 4 , 6 , 7 , 8 , 9 } , B = { 1 , 2 , 4 , 6 } , then what is A - B = ?
Question # 58
Which of the following disjunction of propositions is true?
Question # 59
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 # 60
{ − 3 n : n ∈ Z } is an abelian group under?
Question # 61
Which one of the following is correct for all values of x and y by using deductive logic ?
Question # 62
What is the identity element of ( R − { 0 } , x ) ?
Question # 63
Which of the following is an example of Aristotelian logic ?
Question # 64
If proposition p is false and proposition q is also false then what is the truth value of p ⟷ p ?
Question # 65
See the image and find the set of range.
Question # 66
If A ∪ B = { 1 , 2 , 3 } and C = { 5 , 6 } , then ( A ∪ B ) × C = ?
Question # 67
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 # 68
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 # 69
Classify the set, A = Set consisting of names of men with age 300.
Question # 70
Which one of the following is correct for all values of x and y?
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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