ICSE Class 11 Maths by Pavan | Practice Test to Test Your Knowledge
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ICSE Class 11 Maths

ICSE Class 11 Maths

ICSE Class 11 Maths Syllabus

2025-07-19
Pavan Pavan
ICSE Class 11 Mathematics Grade 11

Duration

30 min

Questions

30

Marking

Negative

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Questions Preview

What is a set?

A
A collection of distinct objects or elements
B
A collection of similar objects
C
A collection of numbers only
D
A collection of infinite objects only

Which of the following represents an empty set?

A
{ }
B
{}
C
Ø
D
∅

What is an example of a finite set?

A
{1, 2, 3, 4, 5}
B
{x | x is a natural number}
C
{1, 2, 3, 4, 5, ...}
D
{x | x is a real number}

Which of the following is a property of equal sets?

A
They have the same elements
B
They are subsets of each other
C
They must contain infinite elements
D
They can only have different numbers of elements

What is a subset?

A
A set that contains only some elements of another set
B
A set that contains exactly the same elements as another set
C
A set that contains all elements of another set
D
A set that contains no elements

Which of the following represents the power set of a set?

A
The set of all possible subsets of a set
B
The set of elements of a set
C
The set of elements that are not in the set
D
The set containing only the null set

Which of the following is true about the universal set?

A
It contains all possible elements relevant to the discussion
B
It contains only the elements from a particular set
C
It contains no elements
D
It contains only one element

Which of the following represents the union of two sets A and B?

A
A ∩ B
B
A ∪ B
C
A – B
D
A ⊆ B

What is the intersection of two sets A and B?

A
The set of elements that are in A but not in B
B
The set of elements that are in both A and B
C
The set of all elements that are in either A or B
D
The set of all elements that are in neither A nor B

What is the difference of sets A and B (A – B)?

A
The set of elements that are in B but not in A
B
The set of elements that are in A but not in B
C
The set of all elements in A or B
D
The set of elements that are in neither A nor B

What is the complement of set A?

A
The set of all elements not in A
B
The set of elements that are in A but not in B
C
The set of all elements that are in A and B
D
The set of elements that are in A or B

Which of the following is a property of the complement of sets?

A
The complement of the complement of a set is the set itself
B
The complement of a set is always a subset of the universal set
C
The complement of a set is the union of the set and the universal set
D
Both A and B are true

What is the universal set symbolized by?

A
U
B
Ø
C
∅
D
∩

How is the Venn diagram used in set theory?

A
To represent elements of sets visually and their relationships
B
To calculate the complement of a set
C
To find the universal set
D
To calculate the number of subsets of a set

What does the union of two sets A and B represent?

A
The set of elements that are in A or in B or in both
B
The set of elements that are in both A and B
C
The set of elements that are only in A
D
The set of elements that are only in B

What is the symbol for intersection of sets A and B?

A
A ∪ B
B
A ∩ B
C
A – B
D
A ⊆ B

What is a practical problem involving the union of two sets?

A
Finding the total number of students enrolled in two courses
B
Finding the students who have enrolled in both courses
C
Finding the students who have not enrolled in either course
D
Finding the students who have enrolled only in the second course

What does the symbol 'A – B' represent?

A
The set of elements that are in both A and B
B
The set of elements that are in A but not in B
C
The set of elements that are in B but not in A
D
The union of A and B

Which of the following operations is represented by 'A ∪ B'?

A
Union
B
Intersection
C
Difference
D
Complement

What is the complement of a set A?

A
All elements that are not in A, relative to the universal set
B
The elements that are only in A
C
The elements that are common to A and B
D
The elements that are in both A and B

What is the correct notation for the complement of set A?

A
A'
B
A^C
C
A∩
D
A⊂

Which of the following is an example of a Venn diagram operation?

A
Finding the union of two sets
B
Finding the difference of two sets
C
Finding the intersection of two sets
D
All of the above

Which of the following sets is a subset of every set?

A
Empty set
B
Universal set
C
Any non-empty set
D
Any set with no elements

What does 'A ⊆ B' represent?

A
A is a subset of B
B
A is the complement of B
C
A is equal to B
D
A is the union of B

What does the Venn diagram of A ∩ B represent?

A
The area where sets A and B overlap
B
The area outside both A and B
C
The union of A and B
D
The area only in A, not in B

What is the symbol for the union of sets A and B?

A
A ∪ B
B
A ∩ B
C
A ⊆ B
D
A – B

Which of the following statements is true?

A
Every set is a subset of itself
B
Only non-empty sets are subsets of themselves
C
The empty set is not a subset of any set
D
A set is a subset of another set only if it has common elements

Which of the following operations is used to find common elements in two sets?

A
Union
B
Intersection
C
Difference
D
Complement

What does 'A ∪ B' represent?

A
The set of elements that are in either A or B or in both
B
The set of elements that are in both A and B
C
The set of elements that are only in A
D
The set of elements that are only in B

What does the symbol 'A ⊆ B' mean?

A
A is a subset of B
B
A is a superset of B
C
A is disjoint with B
D
A is equal to B