Sets

If A = {x: x is a natural number}, B ={x: x is an even natural number} C = {x: x is an odd natural number} and D = {x: x is a prime number}, find 

(i) A ∩ B 

(ii) A ∩ C 

(iii) A ∩ D 

(iv) B ∩ C 

(v) B ∩ D 

(vi) C ∩ D 

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? 

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? 

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}