Question

Which of the following are sets? Justify your answer. 

(i) Collection of even natural less than 8. 

(ii) The collection of big cities in India. 

(iii) The collection of various geometrical figures.

(iv) The collection of all the integers which divides 46.

(v) The collection of the best 20 cricket batsmen of the world.

(vi) The collection of all even integers.

(vii) The collection of literature written by the poet Kali das.

(viii) The collection of Greatmen contributed to Indian culture

Answer 1

(i) Even natural numbers less than 8 are 2, 4, 6.

Hence, {2, 4, 6} is a set. 

(ii) The collection of big cities in India is not a set because there is no scale to measure it. 

(iii) The collection of various geometrical figures is not a set because these figures are not in particular shape. 

(iv) The numbers which divide the numbers 46 are 1, 2, and 23.

Hence, {1, 2, 23} is a set. 

(v) The collection of the best 20 cricket batsman of the world is not a set because there is no scale to measure their qualities. 

(vi) The collection of all even integer is a set because all even integers are 2, 4, 6, 8, 10,……..

(vii) The collection of literature written by the poet Kali das is a set because it is renowned literature.

(viii) The collection of Great men contributed in Indian culture is not a set because we cannot give proper credit for their contribution.

Hence, in above option (i), (iv), (vi) and (vii) are sets.