CBSE Class 11 Sets Worksheet B

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1. Write the set in roster form A = The set of all letters in the word T R I G N O M E T R Y

2. Ate the following pair of sets equal? Give reasons

A, the set of letters in “ALLOY” and B, the set of letters in “LOYAL”.

3. Write down the power set of A

A = {1, 2, 3}

4. A = {1, 2, {3, 4}, 5} which is incorrect and why. (i) {3, 4} Ì A (ii) {3, 4} Î [1]

5. Fill in the blanks.

(i) AÈA =--------

(ii) (A')' = ---------

(iii) A∩A'= --------

6. Let U = {1, 2, 3, 4, 5, 6} A = {2, 3} and B = {3, 4, 5} Find A'∩'B, AÈB and hence show that (AÈB)  = A' ∩ B' .

7. For any two sets A and B prove by using properties of sets that:

(A ∩ B) È (A - B) = A

8. If A, B, and C, are three sets and U is the universe set such that n(U) = 1000, n(A) = 300, n (B) 300 and n(A∩B) = 200 find n (A' ∩ B') .

9. A college awarded 38 medals in football, 15 in basketball and 20 in cricket. If these medals went to a total of 58 men and only three men got medal in all the three sports, how many received medals in exactly two of the three sports?

10. In a survey of 60 people, it was found that 25 people read news paper H, 26 read newspaper T, 26 read newspaper I, 9 read both H and I, 11 read both H and T, 8 read both T and I, 3 read all three newspaper. Find

(i) The no. of people who read at least one of the newspapers. 

(ii) The no. of people who read exactly one news paper.

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