Statement I: The cardinal number of the set A = {x | x ∈ N, x² < 26} is 6.

Statement II: The number of different elements in a finite set is called its cardinal number.

1. Statement I is true but statement II is false.

2. Statement I is false but statement II is true.

3. Both Statement I and statement II are true.

4. Both Statement I and statement II are false.

State which of the given collections are sets:

(i) collection of all poor people of Dhanbad

(ii) collection of all difficult problems in your maths book

(iii) collection of all popular cinema actors of India

(iv) collection of all countries of Asia

(v) collection of four countries of Asia

(vi) collection of three cities of India whose name start with the letter 'J'

(vii) collection of all people in this world over 50 years of age.

Write the following sets in the roster form:

(i) A = {x | x is a month of a year having 30 days}

(ii) B = {x | x = 2n, n ∈ W and n < 5}

(iii) C = {x | x ∈ N and x² < 40}

(iv) D = {all letters in the word PERMISSION}

(v) E = {x : x ∈ I and x² < 10}

(vi) F = {x : x ∈ N, 15 < x < 50 and x is divisible by 6}

(vii) the set of whole numbers which are greater than 14 and divisible by 7

(viii) the set of signs of four fundamental operations of arithmetic.

Write the following sets in set builder form:

(i) A = {2, 3, 5, 7, 11, 13, 17, 19}

(ii) B = {all months of a year}

(iii) C = {Monday, Tuesday, Wednesday}