Sets - The Complete Guide

Sets
Beginner level - Sums (with answers)


1. W hich of the follow in g ar e sets?

(a) The collection of all the days in a week beginning with the letter ‘T’.

(b) The collection of all difficult questions in the chapter on sets.

(c) The collection of girls in your class.

(d) The collection of all rivers in India.

(e) The collection of all active teachers in the school.

(f) The collection of all integers more than -3.

(g) The collection of all the beautiful flowers in the park.



2. If,

A = {3, 5, 7, 9}

B = {2, 4, 6, 8, 10}

C = {12, 14, 18, 20, 24}

D = {21, 26, 31, 36}

(a) State whether true or false.

(i) 13 ∈ C

(ii) 6 ∉ A

(iii) 9 ∉ A

(iv) 24 ∈ C

(v) 31 ∈ D

, (vi) 36 ∉ D

(vii) 20 ∉ C

(viii) 9 ∈ A


(b) Fill in the blanks.

(i) 3 ∈ ___

(ii) 4 ___ B

(iii) 26 ___ C

(iv) 8 ∈ ___

(v) 5 ___ A

(vi) 6 ___ C

(vii) 21 ___ D

(viii) 18 ___ B



3. W r ite the follow in g sets in the r oster for m .

(a) A = The set of all even numbers less than 12

(b) B = The set of all prime numbers greater than 1 but less than 29

(c) C = The set of integers lying between -2 and 2

(d) D = The set of letters in the word LOYAL

(e) E = The set of vowels in the word CHOICE

(f) F = The set of all factors of 36

(g) G = {x : x ∈ N, 5 < x < 12}

(h) H = {x : x is a multiple of 3 and x < 21}

(i) I = {x : x is perfect cube 27 < x < 216}

(j) J = {x : x = 5n - 3,n ∈ W, and n < 3}