# TYPES OF SET WORKSHEET

## About "Types of Sets Worksheet"

Types of Sets Worksheet :

Here we are going to see some practice questions based on the concept types of set.

## Types of Sets Worksheet - Practice Problems

(1)  Find the cardinal number of the following sets.

(i) M = {p, q, r, s, t, u}

(ii) P = {x : x = 3n + 2, n∈W and x < 15}

(iii) Q = { y : y = 4/3n, n ∈ N and 2 < n ≤ 5}

(iv) R = {x : x is an integers, x ∈ Z and –5 ≤ x < 5}

(v) S = The set of all leap years between 1882 and 1906.

Solution

(2)  Identify the following sets as finite or infinite.

(i) X = The set of all districts in Tamilnadu.

(ii) Y = The set of all straight lines passing through a point.

(iii) A = { x : x ∈ Z and x < 5}

(iv) B = {x : x2–5x+6 = 0, x ∈N}

Solution

(3)  Which of the following sets are equivalent or unequal or equal sets?

(i) A = The set of vowels in the English alphabets.

B = The set of all letters in the word “VOWEL”

(ii) C = {2, 3, 4, 5}

D = { x : x ∈ W, 1 < x < 5}

(iii) E = The set of A={ x : x is a letter in the word “LIFE”}

F = {F, I, L, E}

(iv) G = {x : x is a prime number and 3 < x < 23}

H = {x : x is a divisor of 18

Solution

(4)  Identify the following sets as null set or singleton set.

(i) A = {x : x ∈N, 1 < x < 2}

(ii) B = The set of all even natural numbers which are not divisible by 2

(iii) C = {0}.

(iv) D = The set of all triangles having four sides.

Solution

(5)  State which pairs of sets are disjoint or overlapping?

(i) A = {f, i, a, s} and B={a, n, f, h, s}

(ii) C = {x : x is a prime number, x >2} and D ={x:x is an even prime number}

(iii) E = {x : x is a factor of 24} and F={x : x is a multiple of 3, x < 30}   Solution

(6)  If S = {square, rectangle, circle, rhombus, triangle}, list  the elements of the following subset of S.

(i) The set of shapes which have 4 equal sides.

(ii) The set of shapes which have no sides.

(iii) The set of shapes in which the sum of all interior angles is 180o

(iv) The set of shapes which have 5 sides.

Solution

(7)  If A = {a, {a, b}}, write all the subsets of A.

Solution

(8)  Write down the power set of the following sets.

(i) A = {a, b}

(ii) B = {1, 2, 3}

(iii) D = {p, q, r, s}

(iv) E = ∅              Solution

(9)  Find the number of subsets and the number of proper subsets of the following sets.

(i) W  =  {red, blue, yellow}

(ii) X = { x2 : x ∈ N, x2 ≤ 100}         Solution

(10)  (i) If n(A) = 4, find n [P(A)].

(ii)  If n(A) = 0, find n [P(A)].

(iii) If n[P(A)] = 256, find n(A).         Solution

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