Which of the following sets are finite or infinite 

(i) The set of months of a year 

(ii) {1, 2, 3 …} 

(iii) {1, 2, 3 … 99, 100} 

(iv) The set of positive integers greater than 100 (v) The set of prime numbers less than 99 

State whether each of the following set is finite or infinite: 

(i) The set of lines which are parallel to the x-axis 

(ii)The set of letters in the English alphabet 

(iii) The set of numbers which are multiple of 5 

(iv) The set of animals living on the earth 

(v)The set of circles passing through the origin (0, 0) 

In the following, state whether A = B or not: 

(i) A = {a, b, c, d}; B = {d, c, b, a} 

(ii) A = {4, 8, 12, 16}; B = {8, 4, 16, 18} 

(iii) A = {2, 4, 6, 8, 10}; B = {x: x is positive even integer and x ≤ 10} 

(iv) A = {x: x is a multiple of 10}; B = {10, 15, 20, 25, 30 …} 

Question 6: From the sets given below, select equal sets: 

A = {2, 4, 8, 12}, B = {1, 2, 3, 4}, C = {4, 8, 12, 14}, D = {3, 1, 4, 2} 

E = {–1, 1}, F = {0, a}, G = {1, –1}, H = {0, 1} 

Are the following pair of sets equal? Give reasons. 

(i) A = {2, 3}; B = {x: x is solution of x2 + 5x + 6 = 0} 

(ii) A = {x: x is a letter in the word FOLLOW}; B = {y: y is a letter in the word WOLF} 

In a survey of 600 students in a school, 150 students were found to be taking tea and 225 taking coffee, 100 were taking both tea and coffee. Find how many students were taking neither tea nor coffee? 

Which of the following relations are functions? Give reasons. If it is a function, 

determine its domain and range. 

(i) {(2, 1), (5, 1), (8, 1), (11, 1), (14, 1), (17, 1)} 

(ii) {(2, 1), (4, 2), (6, 3), (8, 4), (10, 5), (12, 6), (14, 7)} 

(iii) {(1, 3), (1, 5), (2, 5)}

In a group of 65 people, 40 like cricket, 10 like both cricket and tennis. How many like tennis only and not cricket? How many like tennis? 

In a group of 70 people, 37 like coffee, 52 like tea, and each person likes at least one of the two drinks. How many people like both coffee and tea? 

If X and Y are two sets such that X has 40 elements, X ∪Y has 60 elements and X ∩Y has 10 elements, how many elements does Y have?