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

Your comments:

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

Your comments:

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}

{3, 15, 18, 21}

{3, 6, 12, 18, 21}

Your comments:

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}

Your comments:

Question 4 of 20

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

{5,10}

{5,10, 15}

Your comments:

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

Your comments:

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}

Your comments:

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}

Your comments:

Question 8 of 20

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

A.

Your comments:

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}

Your comments:

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}

Your comments:

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}

Your comments:

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}

Your comments:

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

Your comments:

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

Your comments:

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}

Your comments:

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}

Your comments:

Question 17 of 20

18.

{1,2,3,4,5,}

{2,4,6,8}

{1,3,5,7,9}

{1,2,3,}

Your comments:

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}

{1, 3, 5, 7, 9, 10}

Your comments:

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}

Your comments:

Question 20 of 20