Worksheet on Cardinal Number of a Set

Practice the set of questions given in the worksheet on cardinal number of a set. The question are based on finding the cardinal number of a set.


1. Write the cardinal number of each of the following sets:

(i) A = {0, 1, 2, 4}

(ii) B = {-3, -1, 1, 3, 5, 7}

(iii) C = { }

(iv) D = {3, 2, 2, 1, 3, 1, 2}

(v) E = {Natural numbers between 15 and 20}

(vi) F = {whole numbers from 8 to 14}

2. Given:             A = {Natural numbers less than 10}

                           B = {Letters of the word ‘PUPPET’}

                           C = {Squares of first four whole numbers}

                           D = {Odd numbers divisible by 2}

Find:

(i) n(A)

(ii) n(B)

(iii) n(C)

(iv) n(D)

(v) A ∪ B and n(A ∪ B)

(vi) A ∩ C and n(A ∩ C)

(vii) n(B ∪ D)

(viii) n(C ∩ D)

(ix) n(B ∪ C)

(x) n(A ∪ D)


3. Given: M = Set of letters in the word ‘ALLAHABAD’ and N = Empty set.

Find:

(i) n(M)

(ii) n(N)

(iii) n(M ∪ N)

(iv) n(M ∩ N)

(v) Is n(M) = n(M ∩ N)?

(vi) Is n(N) = n(M ∪ N)?

(vii) Is n(M) = n(M ∪ N)?


4. If A = {4, 8, 12, 16, 20}, B = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20} and C = {a, b, c, d, e}.

State, true or false:

(i) n(A) = n(C)

(ii) n(A) = n(B)

(iii) n(B) - n(C) = n(A)

(iv) n(B) =  2 ∙ n(C)


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


Answers:


1. (i) 4

(ii) 6

(iii) 0

(iv) 3

(v) 4

(vi) 7


2. (i) 9

(ii) 4

(iii) 4

(iv) 0

(v) {1, 2, 3, 4, 5, 6, 7, 8, 9, p, u, e, t}; 13

(vi) {1, 4, 9}; 3

(vii) 4

(viii) 0

(ix) 8

(x) 9


3. (i) 5

(ii) 0

(iii) 5

(iv) 0

(v) No, n(M) ≠ n(M ∩ N)

(vi) No, n(N) ≠  n(M ∪ N)

(vii) Yes, n(M) = n(M ∪ N)


4. (i) True

(ii) False

(iii) True

(iv) True

Sets and Venn-diagrams Worksheets

Worksheet on Set

Worksheet on Elements Form a Set

Worksheet to Find the Elements of Sets

Worksheet on Properties of a Set

Worksheet on Sets in Roster Form

Worksheet on Sets in Set-builder Form

Worksheet on Finite and Infinite Sets

Worksheet on Equal Sets and Equivalent Sets

Worksheet on Empty Sets

Worksheet on Subsets

Worksheet on Union and Intersection of Sets

Worksheet on Disjoint Sets and Overlapping Sets

Worksheet on Difference of Two Sets

Worksheet on Operation on Sets

Worksheet on Cardinal Number of a Set

Worksheet on Venn Diagrams



7th Grade Math Problems

Math Home Work Sheets

From Worksheet on Cardinal Number of a Set to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. Area of Rectangle Square and Triangle | Formulas| Area of Plane Shapes

    Jul 18, 25 10:38 AM

    Area of a Square of Side 1 cm
    Area of a closed plane figure is the amount of surface enclosed within its boundary. Look at the given figures. The shaded region of each figure denotes its area. The standard unit, generally used for…

    Read More

  2. What is Area in Maths? | Units to find Area | Conversion Table of Area

    Jul 17, 25 01:06 AM

    Concept of Area
    The amount of surface that a plane figure covers is called its area. It’s unit is square centimeters or square meters etc. A rectangle, a square, a triangle and a circle are all examples of closed pla…

    Read More

  3. Worksheet on Perimeter | Perimeter of Squares and Rectangle | Answers

    Jul 17, 25 12:40 AM

    Most and Least Perimeter
    Practice the questions given in the worksheet on perimeter. The questions are based on finding the perimeter of the triangle, perimeter of the square, perimeter of rectangle and word problems. I. Find…

    Read More

  4. Formation of Square and Rectangle | Construction of Square & Rectangle

    Jul 16, 25 11:46 PM

    Construction of a Square
    In formation of square and rectangle we will learn how to construct square and rectangle. Construction of a Square: We follow the method given below. Step I: We draw a line segment AB of the required…

    Read More

  5. Perimeter of a Figure | Perimeter of a Simple Closed Figure | Examples

    Jul 16, 25 02:33 AM

    Perimeter of a Figure
    Perimeter of a figure is explained here. Perimeter is the total length of the boundary of a closed figure. The perimeter of a simple closed figure is the sum of the measures of line-segments which hav…

    Read More