Algebra of Sets, Class 11 Mathematics NCERT Solutions

1. There will be total 10  MCQ in this test.
2. Please keep a pen and paper ready for rough work but keep your books away.
3. The test will consist of only objective type multiple choice questions requiring students to mouse-click their correct choice of the options against the related question number.
4. No negative marking for incorrect choice.
5. Please click on “Finish the Test” when you want to exit.
6. All the best – Happy Studying.

1. U= set of all teachers in a school

B= Set of all Mathematics teachers in a school
So B’=?

 set of all non mathematics teachers

 set of all language teachers

 set of all non science teachers

 Set of all science teachers

Question 1 of 20

2. If U, the universal set, is the set of all students of a school which are in classes from I to X and B = set of all students of class X.
What is B’?

  set of all students from classes I to IX

 set of all students of class I to VIII

 set of all students of class VIII

 set of all students of class IX

Question 2 of 20

3. If A = {3, 6, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, then A – B is

  {3, 6, 15, 18, 21}

 Φ

 {3, 15, 18, 21}

 {3, 6, 12, 18, 21}

Question 3 of 20

4. If U= set of all whole numbers less than 12, A=set of all whole numbers less than 10, B= Set of all odd natural numbers less than 10, then what is (A∩B)’?

  {3,5,7,9}

 {0,1,3,5,7,9}

 {0,2,4,6,8,10,11}

 {1,3,5,7}

Question 4 of 20

5. If A = {5, 10, 15}, B = ϕ, then B – A is

 5

 {5,10}

 ϕ

 {5,10, 15}

Question 5 of 20

6. A = set of all triangles

B = set of all right triangles
A – B=?

 set of all equilateral triangles

 set of all triangles which have all three angles different

 set of all isosceles triangles

 set of all triangles which do not have one right angle

Question 6 of 20

7. If A = {2, 4, 6, 8} and U = {1, 2, 3, 4, 5, 6, 7, 8, 9,}, then A’=

 {1,3,5,7,9}

 {1,3,5,7}

 {1,3,5,6,9}

 {1,3,5,8,9}

Question 7 of 20

8. If U = {1, 2, 3, .. ,15}, A = {2, 4}, B = {3, 4, 6, 10, 12, 15}, then is:

  {1,2, 3, 5,15}

 {1, 5, 7, 8, 9, 11, 13, 14}

 {1,3, 5, 6,7, 8, 9, 10,11, 12, 13,14, 15}

 {3, 4, 6, 10, 12,15}

Question 8 of 20

9. If U is universal set, then which of the following is not true ?

A.   B.   C.   D.   

 A

 B

 C

 D

Question 9 of 20

10. A = {1, 2, 3, 4, 5} and B = {2, 3, 7} So A – B=?

  {1,2,3}

 {1,4,5}

 {2,3,4}

 {2,3,7}

Question 10 of 20

11. If A = {1, 2, 3, 4}and B = {4, 5, 6, 7, 8}, then AUB = ?

 {1, 2, 3, 4, 4, 5, 6, 7, 8}

 {1, 2, 3, 4, 5, 6, 7, 8}

 {1, 2, 3, 5, 6, 7, 8}

 {1, 2, 5, 6, 7, 8}

Question 11 of 20

12. If U = {1,2, 3, ….,10}, A = {2, 4, 6}, B = {3, 4, 6, 8, 10,}, then (A ∩ B)’ is

 {1,2, 3, 5, 7, 8, 9, 10}

 {1, 3, 5, 7, 8, 9, 10}

 {1, 5, 7, 9}

 {1,2, 3, …,10}

Question 12 of 20

13. If A = {2,4,6,8,10}

B = {3,4,5,6,7}

So A-B= ?

 {2,3,4,5,6,7,8,10}

 {2,6,8,10}

  {2,4,5,6,7}

 {2,8,10}

Question 13 of 20

14. Which of the following is incorrect?

  If A = Φ , then A – B = Φ .

 A – B and B – A are equal sets

  If A ∩ B = Φ, then A – B = A and B – A = B

 If A = Φ , then B – A = B

Question 14 of 20

15. U = set of all triangles
A = set of all equilateral triangles
So, A^⊂ = ?

 set of all triangles which are not right triangles

 A set of all triangles which are not equilateral triangles

 set of all scalene triangles

 set of all isosceles triangles

Question 15 of 20

16. From the following Venn diagram, A’ is

  {2, 4, 6, 8, 9, 10}

 {1, 3, 5, 7}

 {1, 3, 5, 7, 9}

 {2, 4, 6, 8, 10}

Question 16 of 20

17. If A = { x : x = 2ⁿ , n ≤ 6, n ∈ N} and B = { x : x = 4ⁿ , n ≤ 2, n ∈ N}, then A – B is

 {3, 4, 5, 6}

 {4, 16}

 { 2, 4, 8,16, 32, 64 }

 {2, 8, 32, 64}

Question 17 of 20

18.

  {1,2,3,4,5,}

 {2,4,6,8}

 {1,3,5,7,9}

 {1,2,3,}

Question 18 of 20

19. If universal set U = {1, 2, 3, 4, 5, 6,7, 8, 9, 10}, A = {2, 4, 6, 8}, then is:

 {2,4, 6, 8, 10}

 {1, 3, 5, 7, 9}

 Φ

  {1, 3, 5, 7, 9, 10}

Question 19 of 20

20. From the following Venn diagram A – B is:

 {1, 6, 9}

  {3, 4, 9, 10, 14}

 {1, 3, 4, 6, 9, 10, 14}

 {1, 3, 4, 6, 9}

Question 20 of 20

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