Question

1. Which of the following are sets?
(i) The collection of prime numbers upto 100.
(ii) The collection of rich people in India.
(iii) The collection of all rivers in India.
(iv) The collection of good Hockey players.​

Answer 1

ANSWERS

(i) Collection of  prime numbers up to 100 is a set , because it has a collection of well defined objects as the set of collection of prime numbers will be same

for every one .

Set of Prime numbers upto 100

P = { 2, 3 , 5, ....... 89, 97 }

(ii) The collection of rich people in India is not a set , because it is not a collection of well defined objects as the set of collection of rich people in India will be different for different people .

(iii) The collection of all rivers in India is a set , because it is a collection of well defined objects as the set of collection of all rivers in India will not differ from person to person .

(iv) The collection of good Hockey players is not a set , because it is not a collection of well defined objects as the set of collection of good hockey person varies in the opinions of different people .