MCQ Counting Theorems, Class 11 Mathematics

1. There will be total 15  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. If n (P) = 5, n(Q) = 12 and n(PUQ) = 14 then n(P∩Q) =

3

4

5

7

Your comments:

Question 1 of 15

2. In a certain class 15 students play basket-ball, 13 play chess and 5 play both the games. How many students are there in the class assuming that each students play at least one of the game?

23

43

48

33

Your comments:

Question 2 of 15

3. Let A and B be two finite disjoint sets such that n(A ∪ B) = 475 and n(A) = 435, then n(B) is

75

35

900

40

Your comments:

Question 3 of 15

4. If n(A) + n(B) + n(C) = n(AUBUC) then what are the sets A, B, C are called?

joint

disjoint

equivalent

equal

Your comments:

Question 4 of 15

5. If in class XI of a certain school, 24 students got distinction in mathematics, 19 students got distinction in physics and 15 students got distinction in both the subjects,then the number of students in class XI is :

43

58

28

39

Your comments:

Question 5 of 15

6. Let P and Q be two finite sets such that n(P Q) = 12, n(P - Q) = 24, n(Q - P) = 45. Then n(P) and n(Q) are:

12,21

36,57

57,36

33,21

Your comments:

Question 6 of 15

7. If P and Q are two sets such that n(P) = 120, n(Q) = 50 and n(P ∪ Q) = 140 then, n(P ∩ Q) is:

20

30

70

90

Your comments:

Question 7 of 15

8. A die is thrown. The event A is that a number less than or equal to 3 appears
Event B is that a number between 3 and 5 appears
Event C is that a number greater 3 appears.
So what are A, B and C called ?

disjoint events

complementary events

Mutually exclusive events

exhaustive events

Your comments:

Question 8 of 15

9. Find n(A) + n(B) + n(C) - (A ∩ B) - n(B ∩ C) - n(C ∩ A) = ?

n(A ∪ B ∩ C)

n(A ∩ B)

n(A ∩ B ∩ C)

n(A ∪ B ∪ C)

Your comments:

Question 9 of 15

10. Out of 900 modules tested, 400 modules are from mathematics and 200 are from physics, how many modules are tested from both the subjects:

200

600

500

300

Your comments:

Question 10 of 15

11. A group of 120 students, 90 take mathematics and 72 take economics. If 10 students take neither of the two, how many students take both:

20

62

52

30

Your comments:

Question 11 of 15

12. In a class of 50 students, 35 students play cricket and 30 students play football; identify the students playing both the games.

20

115

15

65

Your comments:

Question 12 of 15

13. In a class of 40 students 14 take physics and 29 take chemistry. If 5 students take both, how many students take neither of the subjects?

5

14

38

2

Your comments:

Question 13 of 15

14. If A = {1, 4, 9, 16} then n (A) = _____

1

2

3

7

Your comments:

Question 14 of 15

15. Find n (A - B) from the figure

1

2

4

3

Your comments:

Question 15 of 15

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