Sets Test

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   c   1. Which of the following are sets? (4 marks) i.| he collection of all girls in your class. ii.| he collection of all clever students of your school. 2. Write the following sets in the roster form. i.| A = {x / x is an inter and -4 < x < 4}. ii.| D = {x / x is an inter and x2 < 5}

(4 marks)

3. Write the following sets in the set builder form. (4 marks) i.| A = {2, 4, 6, 8, 10, 12} ii.| D = {red, orange, yellow, green, blue, indigo, violet} 4. Write the following symbolic statements in words. (4 marks) i.| -3 I ii.| 0 N 5. Show the following sets with the help of Venn diagrams. i.| P = { a / a is a prime number less than 17} ii.| X = { a, b, c, d, e, f, g, h, i }

(4 marks)

6. State which of the following are singleton sets. i.| A = {b} ii.| B = { x / x is a square root of 100}

(4 marks)

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   1. Which of the following are sets? (4 marks) i.| he collection of all boys in your class. ii.| he collection of all punctual students of your school. 2. Write the following sets in the roster form. i.| A = {x / x is a Natural number and 2 < x < 4}. ii.| D = {x / x is an Natural number and x2 < 5}

(4 marks)

3. Write the following sets in the set builder form. i.| A = {1, 3, 5, 7, 9, 11, 13, 15, 17} ii.| D = {Red, Orange, Green}

(4 marks)

4. Write the following symbolic statements in words. (4 marks) i.| 43 I ii.| -74 N 5. Show the following sets with the help of Venn diagrams. i.| P = { a / a is a prime number less than 29} ii.| X = { z, y, x, w, v, u, t, s, r, q } 6. State which of the following are singleton sets. i.| A = {245} ii.| B = { x / x is a square root of 1}

(4 marks)

(4 marks)

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   c   7. State which of the following sets are empty. i.| A = { x / x + 5 = 5 and x is a natural number} ii.| C = { a / a is a end point of a line}

(4 marks)

8. State which of the following sets are finite or infinite. i.| A = { 1, 2, 3, 4, 5, «, 10} ii.| B = { 2, 4, 6, «}

(4 marks)

9. In the following sets, state whether A = B or A B i.| A = {1, 3, 5, 7}; B = { x / x is a positive odd integer < 8 } ii.| A = {a, b, c, d, e, f}; B = { c , d, a, f, b, e} 10. Write the subset relation between the following sets. A = the set of students in Dharavi. C = the set of students in Mumbai. E = the set of students in India.

B = the set of students in Omtex classes. D = the set of students in Maharashtra F = the set of students in world. .

11. In a school hostel there are 100 students out of which 50 drink tea, 40 drink coffee and 20 drink both tea and coffee. Find the number of students who take at least one of the two drinks and also find the number of students who do not take tea or coffee. 12. A class of std IX has two teams, a kho ± kho team and a cricket team containing 19 and 21 players respectively. If the total number of students in these teams is 28, find the number of student playing in both the teams.

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   7. State which of the following sets are empty. (4 marks) i.| A = { x / x + 5 = 5 and x is a real number} ii.| C = { a / a is a point common to two distinct parallel lines} 8. State which of the following sets are finite or infinite. i.| A = { 1, 2, 3, 4, 5, «, 100000000} ii.| B = { 2, 4, 6, «}

(4 marks)

9. In the following sets, state whether A = B or A B i.| A = {1, 3, 5, 7}; B = { x / x is a positive odd integer < 8 } ii.| A = {a, b, c, d, e, f}; B = { c , d, a, f, b, e} 10. Write the subset relation between the following sets. A = the set of all residents in Mumbai. C = the set of all resident in Maharashtra E = the set of all residents in Madhya Pradesh.

B = the set of all residents in Bhopal D = the set of all residents in India F = the set of all residents in World.

11. In a school hostel there are 100 students out of which 60 drink tea, 50 drink coffee and 30 drink both tea and coffee. Find the number of students who take at least one of the two drinks and also find the number of students who do not take tea or coffee. 12. A class of std IX has two teams, a kho ± kho team and a cricket team containing 9 and 11 players respectively. If the total number of students in these teams is 15, find the number of student playing in both the teams.