9th Standard English Medium Maths Subject Set Language Book Back 3 Mark Questions with Solution Part - II

9th Standard

    Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 30

    3 Marks

    10 x 3 = 30
  1. If K = {a,b,d e f }  L = {b,c,d,g} and M = {a,b,c,d,h}, then find the following:
    (i) K \(\cup \)(L \(\cap \) M)
    (ii) K \(\cap \)(L \(\cup \) M)
    (iii) (K\(\cup \)L)\(\cap \)(K\(\cup \)M)
    (iv)
    (K\(\cap \)L)\(\cup \)(K\(\cap \)M)

  2. Draw: Venn diagram for each of the following:
    (i) \(A\cup (B\cap C)\)
    (ii) \(A\cap (B\cup C)\)
    (iii) \((A\cup B)\cap C\)
    (iv) \((A\cap B)\cup C\)

  3. If A = {b,c,e,g,h}, B = {a,c,d,g,i} and C = {a,d,e,g,h}, then show that \(A-(B\cap C)=(A-B)\cup (A-C)\).

  4. In the adjacent diagram, if n(U) = 125, y is two times of x and z is 10 more than x, then find the value of x,y and z.

  5. If P = {x : x\(\in \)W and 0 < x < 10} Q = {x : x = 2n+1, n\(\in \)W and n < 5} and R = {2, 3, 5, 7, 11, 13}  then verify P −(Q ⋂ R) = (P − Q) U (P − R).

  6. In a residential area with 600 families \(\frac{3}{5}\) owned scooter, \(\frac{1}{3}\) owned car, \(\frac{1}{4}\) owned bicycle, 120 families owned scooter and car, 86 owned car and bicylce while 90 families owned scooter and bicylce. If \(\frac{1}{15}\) of families owned all the three types of vehicles, then find
    (i) the number of families owned atleast two types of vehicle.
    (ii) the number of families owned no vehicle.

  7. If A = {x : x ∈ Z, -2 < x ≤ 4}, B = {x : x ∈ W, x ≤ 5}, C = {-4,-1,0,2,3,4}, then verify A∪(B∩C)=(A∪B)∩(A∪C).

  8. Verify A -(BUC) = (A-B)∩(A-C) using Venn diagrams.

  9. Verify \(\left( A\cup B \right) '\)=\(A'\cap B'\) using Venn diagrams

  10. In a mathematics class, 20 children forgot to bring their rulers,17 children forgot to bring their pencil and 5 children forgot to bring both ruler and pencil. Then find the number of children
    (i) who forgot to bring only pencil 
    (ii) who forgot to bring only ruler 
    (iii) in the class

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