Mathematics
Which of the following collections is a set?
Collection of all tasty fruits
Collection of all good football players of your school
Collection of all months of a year
Collection of 5 most intelligent students of your class.
Answer
Checking all options :
Collection of all tasty fruits — Not a set, since 'tasty' is subjective.
Collection of all good football players of your school — Not a set, since 'good' is subjective.
Collection of all months of a year — This is a set, since the months of a year are well defined: January, February, ……, December.
Collection of 5 most intelligent students of your class — Not a set, since 'most intelligent' is subjective.
Hence, option 3 is the correct option.
Related Questions
Fill in the blanks:
(i) A collection of … objects is called a set.
(ii) If x is a member of the set A, we write it as … .
(iii) The order of listing the elements of a set can be … .
(iv) If one or more elements are repeated, the set remains … .
State whether the following statements are true (T) or false (F). Justify your answer.
(i) A collection of stamps is a set.
(ii) A collection of some fruits is a set.
(iii) A group of boys playing cricket is a set.
(iv) Collection of five rivers of India is a set.
The method of representation used in the set A = {x | x is an even natural number less than 15} is called
Description method
Rule method
Roster method
none of these
The cardinal number of the empty set is
2
1
0
none of these