CBSE Class 11 Mathematics Sets Worksheet Set B

Read and download free pdf of CBSE Class 11 Mathematics Sets Worksheet Set B. Download printable Mathematics Class 11 Worksheets in pdf format, CBSE Class 11 Mathematics Chapter 1 Sets Worksheet has been prepared as per the latest syllabus and exam pattern issued by CBSE, NCERT and KVS. Also download free pdf Mathematics Class 11 Assignments and practice them daily to get better marks in tests and exams for Class 11. Free chapter wise worksheets with answers have been designed by Class 11 teachers as per latest examination pattern

Chapter 1 Sets Mathematics Worksheet for Class 11

Class 11 Mathematics students should refer to the following printable worksheet in Pdf in Class 11. This test paper with questions and solutions for Class 11 Mathematics will be very useful for tests and exams and help you to score better marks

Class 11 Mathematics Chapter 1 Sets Worksheet Pdf

 

1. Write the set represented by A = {x : x єR, x2 = 9, 2x = 4}

 

2. Are the following pairs of sets equal? A = {1, 2} , B = { x : x is a solution of x2 + 3x +2 = 0}

 

3. How many subsets are there in {- 1 , 0 , 1} . List all its subsets.

 

4. What does the following sets represent;

i) R – Q      ii) Z0 – N , where Z0 is set of all non zero integers.

 

5. Let A = {1, 2, 3, 4, 5, 6} and B = {3, 4, 5, 6, 7, 8} , find (A – B ) ᴜ (B – A )

 

6. If A = {1, 2 ,3} , B = {4, 5, 6} and C = {7, 8, 9}, verify that :A U (B ∩ C) = (A U B) ∩ {A U C}

 

7. Verify De Morgan’s laws :-

U = { 1,2,3,4,5,6,7,8,9,10 } , A = { 1,3,4,5,7,9,10,}, B = { 1,3,4,5,7,8,10 }

 If set A = {{1, 2, 3} , {1, 2} , {1, 2,4}, 3 }then in the questions 8 to 11, insert anyone of the relevant symbols in the provided blank:є, =, ≠, ⊂, ⊄, ∉

 

8.Φ _____ A

 

9. {{1, 2}, 1} _______ A

 

10. {1, 3,4} _______ A

 

11. {{1, 2, 3} , 3} __________ A

 

12. Draw a venn diagram to represent the given sets with elements and shade A – B – C in it.

U = { a , b , c , d , e , f , g , h , i , j , k }

A = { c , e , f , h , i , j }, B = { a ,b , d , f , i }, C = { a ,c , e , g , h , i }.

 

13. For any two sets A and B

i) If n(A - B) = 18, n(A ∪ B) = 70 and n(A ∩ B) = 25, then find n(B).

ii) If n(A - B) = 20 + x, n(B – A) = 3x and n(A ∩ B) = x + 1, if n(A) = n(B) then find x and n(A ∩ B).

 

14. The number of students who takes both mathematics and chemistry is 30. This represents 10 % of the total students taking mathematics and 12% of the total students taking chemistry. How many students takes atleast one of these two subjects?

 

15. If X = {4n – 3n – 1 : n є N} and Y = {9(n – 1 ), n є N }, where N is the set of natural numbers, then show that X U Y = Y

 

16. 150 college freshmen were interviewed, 85 were registered for a Math class, 70 were registered for an English class, 50 were registered for both Math and English

a) How many signed up only for a Math Class?

b) How many signed up only for an English Class?

c) How many signed up for Math or English?

d) How many signed up neither for Math nor English?

 

17. 100 students were interviewed

28 took PE, 31 took BIO, 42 took ENG, 9 took PE and BIO, 10 took PE and ENG, 6 took BIO and ENG, 4 took all three subjects.
a) How many students took none of the three subjects?
b) How many students took PE but not BIO or ENG?
c) How many students took BIO and PE but not ENG?

 

18. A school has 63 students studying Physics, Chemistry and Biology. 33 study Physics, 25 Chemistry and 26 Biology. 10 study Physics and Chemistry, 9 study Biology and Chemistry
while 8 study both Physics and Biology. Equal numbers study all three subjects as those who learn none of the three.

 

19. An insurance company is surveying travellers, to learn how much of their summer travel is taken with an airplane, a train or a car. The following data is known; make a complete Venn Diagram with all the data. The number of people who flew was 1307. The number of people who both flew and used a train was 602. The people who used all three were 398 in number. Those who flew but didn’t drive came to a total of 599. Those who drove but did not use a train were 1097. There were 610 people who used both trains and cars. The number of people who used either a car or a train or both was 2050. Lastly, 421 people used none of these. Find

i) how many people travelled by car but used neither a train nor an airplane?
ii) how many people were in the entire survey.

 

20. The following information was observed during a survey of 100 television viewers:- 18 watch programme P only,23 watch programme P but not Q, 8 watch programme P and R, 26 watch programme P, 48 watch programme R, 8 watch programme Q and R , 14 watch none of these programmes. Find the number of people who watch

a) exactly two programmes   b) Only one programme   c) only Q .

 

ANSWERS:

1. Φ  2. No  3. 8  4. Irrational numbers, Negative integers  5. {1, 2, 7, 8}  8. ⊂9. ⊄10. ∉11.⊂13. i) 52, ii) 11; 1214. 520. 18. 319. 787; 2866 20. a) 10 b) 73 c) 20

 

Please click on below link to download CBSE Class 11 Mathematics Sets Worksheet Set B

Chapter 1 Sets CBSE Class 11 Mathematics Worksheet

The above practice worksheet for Chapter 1 Sets has been designed as per the current syllabus for Class 11 Mathematics released by CBSE. Students studying in Class 11 can easily download in Pdf format and practice the questions and answers given in the above practice worksheet for Class 11 Mathematics on a daily basis. All the latest practice worksheets with solutions have been developed for Mathematics by referring to the most important and regularly asked topics that the students should learn and practice to get better scores in their examinations. Studiestoday is the best portal for Printable Worksheets for Class 11 Mathematics students to get all the latest study material free of cost. Teachers of studiestoday have referred to the NCERT book for Class 11 Mathematics to develop the Mathematics Class 11 worksheet. After solving the questions given in the practice sheet which have been developed as per the latest course books also refer to the NCERT solutions for Class 11 Mathematics designed by our teachers. After solving these you should also refer to Class 11 Mathematics MCQ Test for the same chapter. We have also provided a lot of other Worksheets for Class 11 Mathematics which you can use to further make yourself better in Mathematics.

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