Worksheet on Elements Form a Set

Practice the questions provided in the worksheet on elements form a set. The questions are based on whether the given objects form a set or the objects do not form a set.

State, whether the following elements form a set or not; if not given reason:

1. All easy problems in your text book.

2. Capitals of all countries in Asia   

3. All three sided figures.

4. First five counting numbers.

5. All the tall boys of your class.

6. Last three days of the week.

7. Five red flowers

8. All triangles that is difficult to draw.

9. First three letters of the English alphabet.

10. Numbers divisible by 5

11. All tasty fruits.

12. All clever boys of class VI

13. Tall buildings in Mumbai

14. All good schools in Florida.

15. No, it is not mentioned which four planets are included and which are excluded.

16. All the girls in your class, whose heights are less than the height of Maria.

17. All the boys in your class, whose heights are more than the height of Maria.

18. All the problems in your Mathematics book, which are difficult to Ron.

19. All the planets in the solar system


Answers for the worksheet on elements form a set are given below to check the exact answers of the above questions on whether the objects are well-defined or not.


Answers:


1. No, some problems may be easy for one person but may not be easy to some other person. Objects are not well-defined.

2. Yes

3. Yes

4. Yes

5. No, it is not mention that the boys must be taller than which boy. If we consider three boys A, B and C: boy A can be taller than B but not necessarily taller than C.

6. Yes

7. No, it is not mentioned which flowers is to be included and which is to be excluded so, the objects are not well-defined.

8. No, it may be difficult for one boy to draw a given triangle but to some other boy it may not be difficult to draw the same triangle.

9. Yes

10. Yes

11. No, a fruit may be tasty for one person and may not be tasty to the other person.

12. No, clever in what respect?

13. No, it is not mention that the buildings must be taller than which building.

14. No, all the people cannot find the same schools as good schools so, the objects are not well-defined.

15. No, it is not mentioned which four planets are included and which are excluded.

16. Yes

17. Yes

18. Yes

19. Yes

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