CBSE Class 11 Mathematics Sets Assignment Set B

VERY SHORT ANSWER TYPE QUESTIONS 

 

Sets MCQ Questions with Answers Class 11 Mathematics

Question: In a beauty contest, half the number of experts voted for Mr. A and two thirds voted for Mr. B. 10 voted for both and 6 did not vote for either. How many experts were there in all?

More Question

1. List all the element of the set A = { x : x is an integer x2 ≤ 4} [1]

2. From the sets given below pair the equivalent sets.
A = { 1, 2, 3}, B = {x, y, z, t}, C = {a, b, c} D = {0, a} [1]

3. Write the following as interval
(i) {x : x ϵ R, - 4 < x ≤ 6}
(ii) {x : x ϵ R, 3 ≤ x ≤ 4} [1]

4. If A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13}, C = {11, 13, 15}
Find (A ∩ B) ∩ ( B ∪ C) [1]

5. Write the set {1/3, 3/5, 5/7. 7/11, 11/13} in set builder form. [1]

6. In a group of 65 people, 40 like cricket, 10 like both cricket and tennis. How many like tennis only and not cricket? How many like tennis? [4]

7. Let A, B and C be three sets A ∪ B = A ∪ C and A ∩ B = A ∩ C show that B = C [4]

8. If ∪ = {a, e, i. o. u}
A = {a, e, i} And
B = {e, o, u}
C = {a, i, u}
Then verity that A ∩ (B – C) = (A ∩ B) – (A ∩ C) [4]

9. In a town of 10,000 families, it was found that 40% families buy newspaper A, 20% families buy newspaper B and 10% families buy newspaper C. 5% families buy A and B, 3% buy B and C and 4% buy A and C. If 2% families buy all the three papers. Find the no. of families which buy
(i) A only (ii) B only (iii) none of A, B, and C. [6]

10. Two finite sets have m and n elements. The total no. of subsets of the first set is 56 more than the total no. of subsets of second set. Find the value of m and n.