Practice the set of questions provided in the worksheet on set operations. The questions are based on finding the union and intersections of the given sets.

**1.** Write down the union and intersection of the following pairs of sets:

(i) A = {1, 2, 3, 4, 5, 6}

B = {1, 3, 5, 7, 9}

(ii) X = {a, b, c, d, e}

Y = {c, e, f, g}

(iii) P = {x : x is a multiple of 2 between 9 and 21}

Q = {x : x is a multiple of 3 between 10 and 20}

(iv) M = {letters in the word ‘COMPUTER’}

N = {letters in the word ‘CALCULATOR’}

**2.**
Let A = set of natural numbers less than 8,

B = {even natural numbers less than 12}

C = {Multiples of 3 between 5 and 15}

and D = {Multiples of 4 greater than 6 and less than 20};

**Find:**

(i) B ∪ C

(ii) A ∪ D

(iii) C ∪ D

(iv) A ∩ C

(v) (B ∩ C) ∪ A

(v) (D ∪ A) ∩ B

(vii) (A ∩ C) ∪ (B ∩ D)

(viii) (B ∪ D) ∩ (C ∪ A)

Answers for the worksheet on set operations are given below to check the exact answers of the above questions.

**Answers:**

**1.**
(i) A ∪ B = {1, 2, 3, 4, 5, 6, 7, 9};

A ∩ B = {1, 3, 5}

(ii) X ∪ Y = {a, b, c, d, e, f, g}

X ∩ Y = {c, e}

(iii) P ∪ Q = {10, 12, 14, 15, 16, 18, 20}

P ∩ Q = {12, 18}

(iv) M ∪ N = {c, o, m, p, u, t, e, r, a, l}

M ∩ N = {c, u, t, o, r}

**2.**
(i) {2,4, 6, 8, 9, 10, 12}

(ii) {1, 2, 3, 4, 5, 6, 7, 8, 12, 16}

(iii) {6, 8, 9, 12, 16}

(iv) {6}

(v) {1, 2, 3, 4, 5, 6, 7}

(vi) {2, 4, 6, 8}

(vii) {6, 8}

(viii) {2, 4, 6, 12}

● **Sets and Venn-diagrams** - Worksheets

** ● **Worksheet on
Elements of a Set

** ● **Worksheet on
Representation on Set

** ● **Worksheet to Find the Cardinal Number
of the Sets

** ● **Worksheet on Cardinal Properties of Sets

** ● **Worksheet on Sets using Venn Diagram

** ● **Worksheet on Union and Intersection
using Venn Diagram

**Math Home Work Sheets**

**From Worksheet on Set Operations to HOME PAGE**

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