Write the following sets in roster form:

(i) the set of first five odd counting numbers

(ii) the set of all even natural numbers less than 101

(iii) {months of year whose names begin with a vowel}

(iv) {one digit natural numbers which are perfect squares}

(v) the set of multiples of 7 which lie between -20 and 25

(vi) {factors of 36}

(vii) {prime factors of 360}

(viii) the set of whole numbers which are multiples of 5

(ix) the set of all letters in the word 'CHENNAI'

(x) the set of all vowels in the word 'MUSSOORIE'

(xi) the set of all consonants in the word 'MATHEMATICS'

Write the following sets in tabular form:

(i) {x : x is a natural number and x < 7}

(ii) {x : x ∈ W and x ≤ 5}

(iii) {x : x is a month of a year having less than 31 days}

(iv) {x | x is a letter in the word 'CIRCUMFERENCE'}

(v) {x | x is a vowel in the word 'NOTATION'}

(vi) {x : x is a digit in the numeral 110526715}

(vii) {x : x is a factor of 48}

(viii) {x : x is a multiple of 11 and 0 ≤ x < 80}

(ix) {y : y is a two digit natural number divisible by 10}

State whether the following sets are empty, finite or infinite sets. In case of (non-empty) finite sets, mention the cardinal number.

(i) {all colours of a rainbow}

(ii) {x | x is a prime number between 7 and 11}

(iii) {x | x is a digit in the numeral 550131527}

(iv) {x | x is a letter in the word 'SUFFICIENT'}

(v) {x | x is a vowel in the word MATHEMATICS}

(vi) {x : x is an even whole number and x ≤ 20}

(vii) {x : x ∈ I and -2 ≤ x < 5}

(viii) {x : x is a prime number less than 25}

(ix) {x : x is a prime factor of 180}

(x) {x : x ∈ N and x is a composite number < 12}

State whether the following pairs of sets are equal or not:

(i) A = {2, 4, 6, 8, 10}, B = {even natural numbers}

(ii) A = {3, 5, 7, 9, 11, 13}, B = {odd natural numbers between 2 and 14}

(iii) A = {PUPPET}, B = {P, U, E, T}

(iv) A = {x | x is a letter in the word SOPHIA}, B = {x | x is a letter in the word MUMTAZ}

(v) A = {kids 5 metres tall}, B = {x : x ∈ N and 2x = 3}