Worksheet on Elements of a Set

Practice the set of questions given in the worksheet on elements of a set. The questions are based on whether the statement is true or false on set, find the elements of a set, write sets in the shortest possible way and set of letters, set of vowels & set of consonants used in the word.

1. State whether true or false:

(i) {5, 7, 9} = {9, 7, 5}

(ii) Sets {4, 9, 6, 2} and {6, 2, 4, 9} are not same.

(iii) Sets {0, 1, 3, 9, 4} and {4, 0, 1, 3, 9} are same.

(iv) {a, b, c, c, d}  = {a, b, c}

(v) {2, 3, 3, 4, 4} = {2, 3, 4}

(vi) Sets {5, 4} and {5, 4, 4, 5} are not same.

(vii) Sets {8, 3} and {3, 3, 8} are same.

(viii) {x | x is a vowel in the word ‘EQUATION’} = {x | x is a vowel in the word ‘EDUCATION’}

(ix) Collection of vowels used in the word ‘ALLAHABAD’ forms a set.

(x) If X is the set of letters in the word ‘ROOM’; then X = {r, o, m}.

(xi) If M is the set of letters used in the word ‘KOLKATA’; then M = {k, o, l, a t}.


2.  Write the set containing:

(i) First six counting numbers

(ii) Three types of angles

(iii) Name of any three Prime Ministers of India.

(iv) Three types of triangles

(v) Last six consonants of English alphabets.

(vi) First four vowels of English alphabets.


3. Write each of the following sets in the shortest possible way:

(i) {2, 7, 7, 2, 3, 7, 8}

(ii) {10 - 5, 20 - 15, 30 - 25, 40 - 35, 37 - 32}

(iii) {2 + 8, 3 + 7, 4 + 6, 5 + 5, 6 + 4, 7 + 3}


4. (a) Write the members (elements) of each set given below: 

(i) {3, 8, 5, 15, 12, 7}

(ii) {c, m, n, o, s}

(b) Write the sets whose elements are:

(i) 2, 4, 8, 16, 64 and 128

(ii) 3, 5, 15, 45, 75 and 90       

5. (i) Write the set of letters used in the word ‘GOOGLE’.

(ii) Write the set of vowels used in the word ‘BENGAL’.

(iii) Write the set of consonants used in the word ‘HONG-KONG’.

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


1. (i) True

(ii) False.

 (iii) True.

(iv) False

(v) True

(vi) False.

(vii) True.

(viii) True

(ix) True.

(x) True.

(xi) True.

2. (i) {1, 2, 3, 4, 5, 6}

 (ii) {acute-angle, right-angle, obtuse-triangle}

(iii) {Dr. Monmohan Singh, Indira Ghandhi, Atal Bihari Vajpayee}

(iv) {scalene-triangle, isosceles-triangle, equilateral-triangle}

(v) {t, v, w, x, y, z}

(vi) {a, e, i, o}

3. (i) {2, 3, 7, 8}

(ii) {5}

(iii) {10}

4. (a) (i) 3, 8, 5, 15, 12, and 7

 (ii) c, m, n, o, and s

(b) (i) {2, 4, 8, 16, 64, 128}

(ii) {3, 5, 15, 45, 75, 90}

5. (i) {g, o, l, e}

(ii) {e, a}

(iii) {h, n, g, k}.

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