Test Series Test 01 (Sets) Welcome to your Test 01 (Sets) Name Email Phone 1. If A={x∈Z:−2≤x≤5}A={x∈Z:−2≤x≤5} and B={x∈Z:x2−3x−4=0}B={x∈Z:x2−3x−4=0}, then A∩BA∩B is: a) {−1,4}{−1,4} b) {−1,4}{−1,4} c) {−4,1}{−4,1} d) {−2,5}{−2,5} None 2. If n(A)=20n(A)=20, n(B)=18n(B)=18, (A∩B)=7n(A∩B)=7, then n(A∪B)n(A∪B) equals: a) 32 b) 31 c) 45 d) 27 None 3. If U={1,2,3,...,20}U={1,2,3,...,20}, A=A= multiples of 2, B=B= multiples of 3, then n(A′∩B)n(A′∩B) is: a) 2 b) 3 c) 4 d) 5 None 4. If A⊆BA⊆B, then A∪BA∪B is always: a) AA b) A∩BA∩B c) BB d) A−BA−B None 5. If A={1,2,3}A={1,2,3}, then power set P(A)P(A) has: a) 6 elements b) 8 elements c) 9 elements d) 3 elements None 6. Number of subsets of a set having 5 elements is: a) 10 b) 25 c) 32 d) 64 None 7. If A={x:x is prime a) {2,3,5,7} b) {3,5,7} c) {4,6,8} d) {2} None 8. If A∩B=∅A∩B=∅, then A and B are: a) equal sets b) overlapping sets c) universal sets d) disjoint sets None 9. If n(U)=50n(U)=50, n(A)=28n(A)=28, then n(A′)n(A′) is: a) 20 b) 22 c) 18 d) 78 None 10. Which law is represented by (A∪B)′=A′∩B′(A∪B)′=A′∩B′ ? a) Associative law b) Distributive law c) De Morgan’s law d) Identity law None 11. If A={1,2,3,4}A={1,2,3,4}, B={2,4,6}B={2,4,6}, C={1,3,5}C={1,3,5}, Then (A∩B)∪(A∩C)(A∩B)∪(A∩C) is: a) {2,4} b) {1,3} c) {1,2,3,4} d) {5,6} None 12. If A−B=AA−B=A, then: a) A=BA=B b) B⊂AB⊂A c) A∩B=∅A∩B=∅ d) A⊂BA⊂B None 13. Number of proper subsets of a set with 4 elements: a) 8 b) 15 c) 16 d) 14 None 14. If A={x:x2=16}A={x:x2=16}, then A is: a) {4} b) {-4,4} c) {-16,16} d) {0,4} None 15. If n(A∪B)=40n(A∪B)=40, n(A)=25n(A)=25, n(B)=20n(B)=20. then n(A∩B)n(A∩B) is: a) 10 b) 5 c) 15 d) 45 None 16. If A⊆BA⊆B and B⊆AB⊆A, then: a) disjoint b) complements c) A = B d) universal None 17. If a set has 2n=1282n=128 subsets, then number of elements is: a) 6 b) 7 c) 8 d) 5 None 18. If A={x:x even natural number a) 4 b) 5 c) 6 d) 7 None 19. Which is always true? a) A−B=B−AA−B=B−A b) A∩(A∪B)=AA∩(A∪B)=A c) A∪B=A∩BA∪B=A∩B d) A′=AA′=A None 20. If AA has 6 elements and BB has 3 elements, total relations from A to B are: a) 2929 b) 218218 c) 3636 d) 6363 None 21. In a class: 30 like Math, 25 like Physics, 10 like both. How many like only one subject? a) 25 b) 35 c) 45 d) 55 None 22. If AΔB=(A−B)∪(B−A)AΔB=(A−B)∪(B−A) and A={1,2,3},B={2,3,4}A={1,2,3},B={2,3,4}. Then AΔBAΔB is: a) {2,3} b) {1,4} c) {1,2,4} d) {4} None 23. If P(A)P(A) has 64 elements, then number of 2-element subsets of A: a) 10 b) 15 c) 20 d) 6 None 24. Number of subsets containing exactly 3 elements from a set of 7 elements: a) 21 b) 35 c) 28 d) 49 None 25. If A={1,2,3,4,5}A={1,2,3,4,5}. Number of subsets containing element 2 is: a) 8 b) 16 c) 10 d) 32 None 1 out of 25 Time's up
