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All questions of Sets for Class 8 Exam
Which of the following sets is an empty set?- a) {x : x is a natural number less than 1}
- b) {1, 2, 3}
- c) {0}
- d) {a, b, c, d}
Correct answer is option 'A'. Can you explain this answer?
Which of the following sets is an empty set?
a)
{x : x is a natural number less than 1}
b)
{1, 2, 3}
c)
{0}
d)
{a, b, c, d}
|
Trisha Vashisht answered |
The set {x : x is a natural number less than 1} has no elements, thus it is an empty set, often denoted by Ø.
If the universal set U = {1, 2, 3, 4, 5} and set A = {1, 2}, what is the complement of A?- a) {3, 4, 5}
- b) {1, 5}
- c) {2, 3}
- d) {1, 2}
Correct answer is option 'A'. Can you explain this answer?
If the universal set U = {1, 2, 3, 4, 5} and set A = {1, 2}, what is the complement of A?
a)
{3, 4, 5}
b)
{1, 5}
c)
{2, 3}
d)
{1, 2}
|
|
Trisha Vashisht answered |
The complement of A, denoted A', is the set of all elements in U that are not in A. Therefore, A' = {3, 4, 5}.
If A = {2, 4, 6} and B = {4, 5, 6}, what is the intersection of A and B?- a) {2, 4, 6}
- b) {2, 5, 6}
- c) {4, 6}
- d) {5}
Correct answer is option 'C'. Can you explain this answer?
If A = {2, 4, 6} and B = {4, 5, 6}, what is the intersection of A and B?
a)
{2, 4, 6}
b)
{2, 5, 6}
c)
{4, 6}
d)
{5}
|
C K Academy answered |
The intersection A ∩ B includes elements common to both A and B, which are 4 and 6. Thus, A ∩ B = {4, 6}.
If the universal set U = {1, 2, 3, 4, 5, 6} and set A = {1, 2, 3}, what is the value of A'?- a) {1, 4, 5}
- b) {4, 5, 6}
- c) {2, 3}
- d) {1, 2, 3}
Correct answer is option 'B'. Can you explain this answer?
If the universal set U = {1, 2, 3, 4, 5, 6} and set A = {1, 2, 3}, what is the value of A'?
a)
{1, 4, 5}
b)
{4, 5, 6}
c)
{2, 3}
d)
{1, 2, 3}
|
EduRev Class 8 answered |
The complement of A, denoted A', consists of elements in U that are not in A. Therefore, A' = {4, 5, 6}.
Which of the following is an example of a singleton set?- a) {x : x is an integer}
- b) {1, 2, 3}
- c) {a, b, c}
- d) {5}
Correct answer is option 'D'. Can you explain this answer?
Which of the following is an example of a singleton set?
a)
{x : x is an integer}
b)
{1, 2, 3}
c)
{a, b, c}
d)
{5}
|
|
C K Academy answered |
A singleton set contains exactly one element. The set {5} qualifies as a singleton because it has only one element.
What is the result of the operation A ∩ (B ∪ C) if A = {1, 2}, B = {2, 3}, and C = {3, 4}?- a) {1, 2}
- b) {3}
- c) {2, 3}
- d) {2}
Correct answer is option 'D'. Can you explain this answer?
What is the result of the operation A ∩ (B ∪ C) if A = {1, 2}, B = {2, 3}, and C = {3, 4}?
a)
{1, 2}
b)
{3}
c)
{2, 3}
d)
{2}
|
|
Trisha Vashisht answered |
First, calculate B ∪ C = {2, 3, 4}. Then A ∩ (B ∪ C) = {1, 2} ∩ {2, 3, 4} = {2}.
Which of the following laws states that the union of the intersection is the same as the intersection of the unions?- a) De Morgan's Laws
- b) Associative Laws
- c) Distributive Laws
- d) Complement Laws
Correct answer is option 'C'. Can you explain this answer?
Which of the following laws states that the union of the intersection is the same as the intersection of the unions?
a)
De Morgan's Laws
b)
Associative Laws
c)
Distributive Laws
d)
Complement Laws
|
|
Trisha Vashisht answered |
The Distributive Laws describe how union and intersection operations distribute over each other. For example, A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C).
Which of the following statements is true about disjoint sets?- a) They have exactly two elements in common.
- b) They are identical.
- c) They have no elements in common.
- d) They have one element in common.
Correct answer is option 'C'. Can you explain this answer?
Which of the following statements is true about disjoint sets?
a)
They have exactly two elements in common.
b)
They are identical.
c)
They have no elements in common.
d)
They have one element in common.
|
|
Trisha Vashisht answered |
Disjoint sets are defined as sets that do not share any elements. Thus, if A and B are disjoint, A ∩ B = Ø.
If A = {x : x is a letter in the English alphabet} and B = {x : x is a vowel}, what is A - B?- a) {B, C, D, F, G, H, J, K, L, M, N, P, Q, R, S, T, V, W, X, Y, Z}
- b) {A, E, I, O, U}
- c) {A, B, C, D, E, F, G}
- d) {X, Y, Z}
Correct answer is option 'A'. Can you explain this answer?
If A = {x : x is a letter in the English alphabet} and B = {x : x is a vowel}, what is A - B?
a)
{B, C, D, F, G, H, J, K, L, M, N, P, Q, R, S, T, V, W, X, Y, Z}
b)
{A, E, I, O, U}
c)
{A, B, C, D, E, F, G}
d)
{X, Y, Z}
|
|
EduRev Class 8 answered |
The difference A - B includes all letters in the alphabet that are not vowels. Therefore, A - B consists of all consonants.
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
Correct answer is option 'A'. Can you explain this answer?
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
|
|
C K Academy answered |
The union of two sets A and B is denoted as A ∪ B, which includes all elements that are in A, in B, or in both.
Which of the following represents a proper subset?- a) A = {2, 3}, B = {2, 3}
- b) A = {1, 2}, B = {1, 2, 3}
- c) A = {1, 2, 3}, B = {1, 2, 3}
- d) A = {4, 5}, B = {1, 2, 4, 5}
Correct answer is option 'B'. Can you explain this answer?
Which of the following represents a proper subset?
a)
A = {2, 3}, B = {2, 3}
b)
A = {1, 2}, B = {1, 2, 3}
c)
A = {1, 2, 3}, B = {1, 2, 3}
d)
A = {4, 5}, B = {1, 2, 4, 5}
|
|
C K Academy answered |
A is a proper subset of B because all elements of A (1 and 2) are in B, and B has additional elements (3). A proper subset cannot be identical to the set it is a subset of.
What type of set is represented by A = {x : x is a prime number greater than 10}?- a) Finite Set
- b) Singleton Set
- c) Empty Set
- d) Infinite Set
Correct answer is option 'D'. Can you explain this answer?
What type of set is represented by A = {x : x is a prime number greater than 10}?
a)
Finite Set
b)
Singleton Set
c)
Empty Set
d)
Infinite Set
|
|
Trisha Vashisht answered |
The set of prime numbers greater than 10 is infinite since there is no upper limit to prime numbers. Thus, it is classified as an infinite set.
If A = {1, 2, 3} and B = {3, 4, 5}, what is the difference A - B?- a) {3}
- b) {1, 2}
- c) {1, 2, 4, 5}
- d) {4, 5}
Correct answer is option 'B'. Can you explain this answer?
If A = {1, 2, 3} and B = {3, 4, 5}, what is the difference A - B?
a)
{3}
b)
{1, 2}
c)
{1, 2, 4, 5}
d)
{4, 5}
|
|
C K Academy answered |
The difference A - B consists of elements in A that are not in B. Thus, A - B = {1, 2}.
What is the result of the operation A - B if A = {1, 2, 3, 4} and B = {2, 4}?- a) {4}
- b) {1, 2, 3}
- c) {2, 4}
- d) {1, 3}
Correct answer is option 'D'. Can you explain this answer?
What is the result of the operation A - B if A = {1, 2, 3, 4} and B = {2, 4}?
a)
{4}
b)
{1, 2, 3}
c)
{2, 4}
d)
{1, 3}
|
|
EduRev Class 8 answered |
The difference A - B includes elements that are in A but not in B. Thus, A - B = {1, 3}.
What is the complement of the set A = {1, 3, 5} if the universal set U = {1, 2, 3, 4, 5, 6}?- a) {1, 3, 5}
- b) {1, 2, 3}
- c) {3, 5, 6}
- d) {2, 4, 6}
Correct answer is option 'D'. Can you explain this answer?
What is the complement of the set A = {1, 3, 5} if the universal set U = {1, 2, 3, 4, 5, 6}?
a)
{1, 3, 5}
b)
{1, 2, 3}
c)
{3, 5, 6}
d)
{2, 4, 6}
|
|
EduRev Class 8 answered |
The complement of A, denoted A', includes all elements in the universal set U that are not in A. Therefore, A' = {2, 4, 6}.
Chapter doubts & questions for Sets - Mathematics Class 8 ICSE 2025 is part of Class 8 exam preparation. The chapters have been prepared according to the Class 8 exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Class 8 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.
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Mathematics Class 8 ICSE
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