Practice the set of questions provided in the worksheet on representation on set. The questions are based on representing the set using both the methods Roster Form and Set-Builder Form.

**Write each of the following sets in Roster (tabular) Form and also in Set-Builder Form:**

**(i)** Set of all natural numbers which can divide 24 completely.

**(ii)** Set of odd numbers between 20 and 35.

**(iii)** Set of even natural numbers less than 25.

**(iv)** Set of letters used in the word ‘MASSACHUSETTS’.

**(v)** Set of names of the first five months of a year.

**(vi)** Set of all two digit numbers which are perfect square also.

**(vii)** Set of letters used in the word ‘EDUCATION’.

Set of natural numbers divisible by 7

Roster Form: {7, 14, 21, 28, 35, 42, 49, …….}

Set-Builder Form: {x : x is a natural number divisible by 7}

Answers for the worksheet on representation on set are given below to check the exact answers of the above questions to express the sets in Roster and Set-Builder Form.

**Answers:**

**(i)** Roster Form: {1, 2, 3, 4, 6, 8, 12, 24};

Set-Builder Form:** **{x
: x is a natural number which divides 24 completely}

**(ii)** Roster Form: {21, 23, 25, 27, 29, 31, 33};

Set-Builder Form:** **{x
: x is an odd natural number between 20 and 35}.

**(iii)** Roster Form: {2, 4, 6, 8, 10, 12, 12, 14, 16, 18, 20,
22, 24};

Set-Builder Form:** **{x
: x is an even natural number less than 25}.

**(iv)** Roster Form: {m, a, s, c, h, u, e, t};

Set-Builder Form: {x : x is a letter used in the word ‘MASSACHUSETTS’}.

**(v)** Roster Form**:** {January,
February, March, April, May};

Set-Builder Form:** **{x
: x is name of the first five months of a year}

**(vi)** Roster Form: {16, 25, 36, 49, 64, 81};

Set-Builder Form:** **{x
: x is a perfect square two digit number}

**(vi)** Roster Form: {e, d, u, c, a, t, i, o, n};

Set-Builder Form: {x : x is a letter used in the word ‘EDUCATION’}.

● **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**

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