Counting Theorems, Class 11 Mathematics Sample Papers

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

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

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

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

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

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

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

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

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)

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

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

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

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

Question 13 of 15

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

 1

 2

 3

 7

Question 14 of 15

15. Find n (A – B) from the figure

 1

 2

 4

 3

Question 15 of 15

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