Set Language - Important Question Paper

9th Standard

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Maths

Time : 01:00:00 Hrs
Total Marks : 50

    Part A

    15 x 1 = 15
  1. The set P = {x | x ∈ Z , –1 < x < 1} is a

    (a)

    Singleton set

    (b)

    Power set

    (c)

    Null set

    (d)

    Subset

  2. If U ={x | x ∈ N, x < 10} and A = {x | x ∈ N, 2 ≤ x < 6} then (A′)′ is

    (a)

    {1, 6, 7, 8, 9}

    (b)

    {1, 2, 3, 4}

    (c)

    {2, 3, 4, 5}

    (d)

    { }

  3. If B ⊆ A then n(A∩B) is

    (a)

    n(A – B)

    (b)

    n(B)

    (c)

    n(B – A)

    (d)

    n(A)

  4. If A = {x, y, z} then the number of non - empty subsets of A is

    (a)

    8

    (b)

    5

    (c)

    6

    (d)

    7

  5. Which of the following is correct?

    (a)

    ∅ ⊆ {a, b}

    (b)

    ∅ ∈ {a, b}

    (c)

    {a} ∈ {a, b}

    (d)

    a ⊆ {a, b}

  6. The shaded region in the adjacent diagram represents

    (a)

    (A∪B)′

    (b)

    (A∩B)′

    (c)

    A′∩B′

    (d)

    A∩B

  7. From the adjacent diagram n[P(AΔB)] is

    (a)

    8

    (b)

    16

    (c)

    32

    (d)

    64

  8. In a class of 50 boys, 35 boys play Carrom and 20 boys play Chess then the number of boys play both games is

    (a)

    5

    (b)

    30

    (c)

    15

    (d)

    10

  9. A = {set of odd natural numbers}, B = {set of even natural numbers}, then A and B are ___________

    (a)

    equal set

    (b)

    equivalent sets

    (c)

    overlapping sets

    (d)

    disjoint sets

  10. Number of subsets in set A = {1,2,3} is ________

    (a)

    3

    (b)

    6

    (c)

    8

    (d)

    9

  11. The set (A - B) U(B - A) is ___________

    (a)

    AΔB

    (b)

    AUB

    (c)

    A∩B

    (d)

    A'UB'

  12. The set of (A U B) - (A ก B) is ____________

    (a)

    (AUB)'

    (b)

    AΔB

    (c)

    (A∩B)'

    (d)

    A'UB'

  13. The set {x: x ∈ A, x ∈ B, x ∉ A ∩ B} is___________.

    (a)

    A ∩ B

    (b)

    A U B

    (c)

    A - B

    (d)

    A Δ B

  14. The number of elements of the set {x : x ∈ Z, x2 = I} is ________

    (a)

    0

    (b)

    1

    (c)

    2

    (d)

    3

  15. The shade region with adjoint diagram represents ___________

    (a)

    A - B

    (b)

    B - A

    (c)

    A'

    (d)

    B'

  16. Part B

    5 x 2 = 10
  17. Insert the appropriate symbol \(\subseteq \) or \(\nsubseteq \) in each blank to make a true statement.
    {10, 20, 30} ____ {10, 20, 30, 40}

  18. Find the number of subsets and the number of proper subsets of a set X={a, b, c, x, y, z}.

  19. If U = {c, d, e, f, g, h, i, j} and A = { c, d, g, j} , find A′.

  20. If A={1, 2, 6} and B={2, 3, 4} , find A∪B.

  21. If P={m, n} and Q= {m, i, j}, represent P and Q in Venn diagram and find P∪Q.

  22. Part C

    5 x 3 = 15
  23. Out of 500 car owners investigated, 400 owned car A and 200 owned car B, 50 owned both A and B cars. Is this data correct?

  24. Insert the appropriate symbol ∈ (belongs to) or ∉ (does not belong to) in the blanks.

  25. Given that A = {1,3,5,7} B = {1,2,4,6,8}. Find (i) AΔB and (it) BΔA

  26. From the venn-diagram, list the following:

    (i) A
    (ii) B
    (iii) A ∩ B
    (iv) AU B
    (v) A-B
    (vi) B-A
    (vii) (A - B) ∩ (B - A)

  27. In a class there are 40 students. 26 have opted for Mathematics and 24 have opted for Science. How many student have opted for Mathematics and Science.

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