CBSE Class 11 Sets Worksheet C

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1. Write the set   in the set builder form.

2. Is set C = { x : x – 5 = 0} and E = {x : x is an integral positive root of the equation x² – 2x – 15 = 0}

3. Write down all possible proper subsets of the set {1, {2}}. 

4. State whether each of the following statement is true or false.

(i) {2, 3, 4, 5} and {3, 6} are disjoint

(ii) {2, 6, 10} and {3, 7, 11} are disjoint sets

5. Fill in the blanks

(i) (A È B)´ = --------- (ii) (A ∩ B)ʹ = ---------

6. There are 210 members in a club. 100 of them drink tea and 65 drink tea but not coffee, each member drinks tea or coffee.

Find how many drink coffee, How many drink coffee, but not tea.

7. If P (A) = P (B), Show that A = B                    

8. In a class of 25 students, 12 have taken mathematics, 8 have taken mathematics but not biology. Find the no. of students who have taken both mathematics and biology and the no. of those who have taken biology but not mathematics each student has taken either mathematics or biology or both.

9. These are 20 students in a chemistry class and 30 students in a physics class. Find the number of students which are either in physics class or chemistry class in the following cases.

(i) Two classes meet at the same hour

(ii) The two classes met at different hours and ten students are enrolled in both the courses.

10. In a survey of 25 students, it was found that 15 had taken mathematics, 12had taken physics and 11 had taken chemistry, 5 had taken mathematics and chemistry, 9 had taken mathematics and physics, 4 had taken physics and chemistry and 3 had taken all three subjects.

Find the no. of students that had taken

(i) only chemistry (ii) only mathematics (iii) only physics (iv) physics and chemistry but mathematics (v) mathematics and physics but not chemistry (vi) only one of the subjects (vii) at least one of three subjects (viii) None of three subjects.

Click on link below to download CBSE Class 11 Sets Worksheet C.