Test Series Test 01 (Sets) -

Welcome to your Test 01 (Sets)

Name

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}

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8. If A∩B=∅A∩B=∅, then A and B are:

a) equal sets

b) overlapping sets

c) universal sets

d) disjoint sets

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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

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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

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17. If a set has 2n=1282n=128 subsets, then number of elements is:

a) 6

b) 7

c) 8

d) 5

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18. If A={x:x even natural number

a) 4

b) 5

c) 6

d) 7

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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

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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

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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

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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

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1 out of 25

Time’s up Temel Capvex