Read and download free pdf of CBSE Class 12 Mathematics Relations And Functions Assignment Set B. Get printable school Assignments for Class 12 Mathematics. Class 12 students should practise questions and answers given here for Chapter 1 Relations And Functions Mathematics in Class 12 which will help them to strengthen their understanding of all important topics. Students should also download free pdf of Printable Worksheets for Class 12 Mathematics prepared as per the latest books and syllabus issued by NCERT, CBSE, KVS and do problems daily to score better marks in tests and examinations

## Assignment for Class 12 Mathematics Chapter 1 Relations And Functions

Class 12 Mathematics students should refer to the following printable assignment in Pdf for Chapter 1 Relations And Functions in Class 12. This test paper with questions and answers for Class 12 Mathematics will be very useful for exams and help you to score good marks

### Chapter 1 Relations And Functions Class 12 Mathematics Assignment

**Question. If X = {8 ^{n} – 7 – 1: n ∈ N): n∈N} and Y = {49(n–1): n∈N} then:**

a. X ⊆ Y

b. Y ⊆ X

c. X = Y

d. None of these

**Answer : A**

**Question. If A and B are any two sets, then A ∪ (A ∩ B) is equal to:**

a. A

b. B

c. c A

d. c B

**Answer : A**

**Question. The set of intelligent students in a class is:**

a. A null set

b. A singleton set

c. A finite set

d. Not a well defined collection

**Answer : D**

**Question. Given the sets A = {1, 2, 3}, B = {3, 4} , C = {4, 5, 6}, then: A ∪ (B ∩ C) is**

a. {3}

b. {1, 2, 3, 4}

c. {1, 2, 4, 5}

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

**Answer : B**

**Question. If A ⊆ B , then A ∪ B is equal to:**

a. A

b. B ∩ A

c. B

d. None of these

**Answer : C**

**Question. In a city 20 percent of the population travels by car, 50 percent travels by bus and 10 percent travels by both car ****and bus. Then persons travelling by car or bus is:**

a. 80 percent

b. 40 percent

c. 60 percent

d. 70 percent

**Answer : C**

**Question. If the sets A and B are defined as A = {(x, y) : y 1/x, 0 ≠ x ∈ R} B = {(x, y) : y = −x, x ∈ R} , then:**

a. A ∩B = A

b. A ∩ B = B

c. A ∩ B =φ

d. None of these

**Answer : C**

**Question. Let A = [x : x ∈ R, |x| < 1] B = [x : x ∈ R, |x – 1| ≥ 1] and A ∪ B = R − D, then the set D is:**

a. [x : 1 < x ≤ 2]

b. [x : 1 ≤ x < 2]

c. [x : 1 ≤ x ≤ 2]

d. None of these

**Answer : B**

**Question. If A,B and C are non-empty sets, then (A–B) ∪ (B – A) equals?**

a. (A ∪ B) – B

b. A – (A ∩ B)

c. (A ∪ B) – (A ∩ B)

d. (A ∩ B) ∪ (A ∪ B)

**Answer : C**

**Question. Which of the following is the empty set?**

a. {x : x is a real number and x^{2} −1 = 0}

b. {x : x is a real number and x^{2} +1 = 0}

c. {x : x is a real number and x^{2} − 9 = 0}

d. {x : x is a real number and x^{2} = x + 2}

**Answer : B**

**Question. If the sets A and B are defined as:**

**A = {(x, y) : y = e ^{x} , x∈R}**

**B = {(x, y) : y = x, x∈ R}, then**

a. B ⊆ A

b. A ⊆ B

c. A ∩ B =φ

d. A ∪ B = A

**Answer : C**

**Question. If X = {4 ^{n} – 3n – 1 : n ∈ N} and Y ={9(n – 1) : n ∈ N} then X ∪ Y is equal to:**

a. X

b. Y

c. N

d. None of these

**Answer : B**

**Question. In a class of 55 students, the number of students studying different subjects are 23 in mathematics, 24 in physics, 19 in chemistry, 12 in mathematics and physics, 9 in mathematics and chemistry, 7 in physics and chemistry and 4 in all the three subjects. The number of students who have taken exactly one subject is:**

a. 6

b. 9

c. 7

d. 5

**Answer : D**

**Question. If A,B and C are any three sets, then A×(B∩C) is equal to:**

a. (A × B) ∪ (A × C)

b. (A × B) ∩ (A × C)

c. (A ∪ B) × (A ∪ C)

d. (A ∩ B) × (A ∩ C)

**Answer : B**

**Question. Given two finite sets A and B such that n(A) = 2, n(B) = 3.**

**Then total number of relations from A to B is?**

a. 4

b.8

c. 64

d. 9

**Answer : C**

**Question. If A = {2, 4, 5}, B = {7, 8, 9}, then n(A× B) is equal to:**

a. 6

b. 9

c. 3

d. 0

**Answer : B**

**Question. In a town of 10,000 families it was found that 40% family buy newspaper A, 20% buy newspaper B and 10% ****families buy newspaper C, 5% families buy A and B, 3% ****buy B and C and 4% buy A and C. If 2% families buy all ****the three newspapers, then number of families which buy: ****A only is**

a. 3100

b. 3300

c. 2900

d. 1400

**Answer : B**

**Question. If P, Q and R are subsets of a set A, then R×(P ^{c}UQ^{c})c =?**

a. (R × P) ∩ (R × Q)

b. (R × Q) ∩ (R × P)

c. (R × P) ∪ (R × Q)

d. None of these

**Answer : A, B**

**Question. If the set A has p elements, B has q elements, then the number of elements in A × B is:**

a. p + q

b. p + q + 1

c. pq

d. p^{2}

**Answer : C**

**Question. With reference to a universal set, the inclusion of a subset in another, is relation, which is?**

a. Symmetric only

b. Equivalence relation

c. Reflexive only

d. None of these

**Answer : D**

**Question. Let A = {1, 2, 3}. The total number of distinct relations that can be defined over A is:**

a. 9 2

b. 6

c. 8

d. 5

**Answer : A**

**Question. Let X = {1, 2, 3, 4,5} and Y = {1, 3,5, 7, 9} . Which of then following is/are relations from X to Y?**

a. R_{1} = {(x, y) | y = 2 + x, x∈ X, y∈Y}

b. R_{2} = {(1,1), (2,1), (3, 3), (4, 3), (5, 5)}

c. R_{3} = {(1,1), (1, 3)(3, 5), (3, 7), (5, 7)}

d. R_{4} = {(1, 3), (2, 5), (2, 4), (7, 9)}

**Answer : ABC**

**Question. Let X be a family of sets and R be a relation on X defined by ‘A is disjoint from B’. Then R is:**

a. Reflexive

b. Symmetric

c. Anti-symmetric

d. Transitive

**Answer : B**

**Question. Let A = {1, 2, 3}, B = {1, 3, 5}. A relation R : A → B is defined by R = {(1, 3), (1, 5), (2, 1)}. Then −1 R is defined by:**

a. {(1,2), (3,1), (1,3), (1,5)}

b. {(1, 2), (3, 1), (2, 1)}

c. {(1, 2), (5, 1), (3, 1)

d. None of these

**Answer : C**

**Question. The relation R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)} on set A = {1, 2, 3} is:**

a. Reflexive but not symmetric

b. Reflexive but not transitive

c. Symmetric and Transitive

d. Neither symmetric nor transitive

**Answer : A**

**Question. Let R and S be two non-void relations on a set A. Which of the following statements is false:**

a. R and S are transitive ⇒ R ∪ S is transitive

b. R and S are transitive ⇒ R ∩ S is transitive

c. R and S are symmetric ⇒ R ∪ S is symmetric

d. R and S are reflexive ⇒ R ∩ S is reflexive

**Answer : A**

**Question. Let P = {(x, y) | x ^{2} + y^{2} = 1, x, y∈R} .Then P is:**

a. Reflexive

b. Symmetric

c. Transitive

d. Anti-symmetric

**Answer : B**

**Question. Let R be a relation on the set N of natural numbers defined by nRm ⇔ n is a factor of m (i.e., n|m). Then R is:**

a. Reflexive and symmetric

b. Transitive and symmetric

c. Equivalence

d. Reflexive, transitive but not symmetric

**Answer : D**

**Question. The solution set of 8 x ≡ 6(mod 14), x ∈ Z , are:**

a. [8] ∪ [6]

b. [8] ∪ [14]

c. [6] ∪ [13]

d. [8] ∪ [6] ∪ [13]

**Answer : C**

**Please click the below link to access CBSE Class 12 Mathematics Relations And Functions Assignment Set B**

## More Study Material

### CBSE Class 12 Mathematics Chapter 1 Relations And Functions Assignment

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