Mathematics
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.
Sets
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Answer
(i) False; it is not a set because it is not known which stamps are included in the collection.
(ii) False; it is not a set because it is not known which fruits are included in the collection.
(iii) False; it is not a set because it is not known which students are included in the group.
(iv) False; it is not a set because it is not known which five rivers of India are included in the collection.
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Related Questions
Given that A = {2, 5, 7, 8, 10}, B = {5, 7, 2, x, 10} and A = B, write the value of x.
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 … .
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.
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