Set Language Model Questions

9th Standard

    Reg.No. :
  •  
  •  
  •  
  •  
  •  
  •  

Maths

Time : 01:00:00 Hrs
Total Marks : 50
    5 x 1 = 5
  1. If U={x:x\(\in \)N and x<10}, A={1, 2, 3, 5, 8} and B={2, 5, 6, 7, 9}, then \(n\{ (A\cup B)'\} \) is

    (a)

    1

    (b)

    2

    (c)

    4

    (d)

    8

  2. If J = Set of three sided shapes, K = Set of shapes with two equal sides and L = Set of shapes with right angle, then J ∩ K ⋂ L is

    (a)

    Set of isoceles triangles

    (b)

    Set of equilateral triangles

    (c)

    Set of isoceles right triangles

    (d)

    Set of right angled triangles

  3. If A,B,C are non-overlapping sets,then n \(\left( A\cap B\cap C \right) \) is ___________

    (a)

    n(A) + n(B) + n(C)

    (b)

    \(n\left( A\cup B\cup C \right) \)

    (c)

    0

    (d)

    \(n\left( A\cap B \right) \)

  4. \(\left( A\cup B\cup C \right) \cup \left( A\cup BC \right) ^{ ' }\)=_______

    (a)

    \(\Phi \)

    (b)

    A

    (c)

    U

    (d)

    \(A\cap B\cap C\)

  5. \(n(A\cup B\cup C)\)=________

    (a)

    n(A) + n(B) + n(C)

    (b)

    n(A) + n(b) + n(C) -\(n\left( A\cap B\cap C \right) \)

    (c)

    \(n\left( A\cap B\cap C \right) \)

    (d)

    n(A) + n(B) + n(C) -\(n\left( A\cap B \right) \)-\(n\left( B\cap A \right) -n\left( A\cap C \right) +n\left( A\cap B\cap C \right) \)

  6. 6 x 2 = 12
  7. If A = {2, 3, 4, 5}, B = {2, 3, 5, 7} and C = {1, 3, 5}, then verify \(A\cup (B\cup C)=(A\cup B)\cup C\).

  8. If A = {p,q,r,s}, B = {m,n,q,s,t} and C = {m,n,p,q,s}, then verify the associative property of union of sets.

  9. If A={ x : x = 2n, n \(\in \) W and n<4}, B = {x : x = n, n  2 \(\in \) N and n ≤ 4} and C = {0, 1, 2, 5, 6} , then verify the associative property of intersection of sets.

  10. If A = {0, 2, 4, 6, 8},B ={x : x is a prime number and x < 11} and C={x:x\(\in \)N and 5 ≤ x < 9} then verify \(A\cup (B\cap C)=(A\cup B)\cap (A\cup C)\).

  11. State Associative property of sets.

  12. State the formula to find \(n\left( A\cup B\cup C \right) \)

  13. 6 x 3 = 18
  14. 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)

  15. Verify \(A\cup (B\cap C)=(A\cup B)(A\cup C)\) using Venn diagrams.

  16. 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.

  17. If A={2,5,6,7} and B={3,5,7,8}, then verify the commulative property of : union sets

  18. If A={2,5,6,7} and B={3,5,7,8}, then verify the commulative property of : intersection of sets

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

  20. 3 x 5 = 15
  21. Using the adjacent Venn diagram, find the following sets:
    (i) A-B
    (ii) B-C
    (iii) A'\(\cup \)B')
    (iii) A'\(\cap \)B'
    (iv) (B\(\cup \)C)'
    (vi) A-(B\(\cup \)C)
    (vii) A-(B\(\cap \)C)

  22. If U = {x :x \(\in \)  Z, -3 \(\le \) x \(\le \) 9 },A = {x : x = 2P +1, \(\in \) Z, -2 \(\le \) P\(\le \) 3}, B ={x : x = q + 1, q \(\in \) Z, 0 \(\le \) q \(\le \) 3}, verify De Morgan's law's for complementation.

  23. If A = {b, c, d, e} and B = {b, c, e, g} and C= {a, c, e}, then verify \(A\cup \left( B\cup C \right) \) = \(\left( A\cup B \right) \cup C\)

*****************************************

Reviews & Comments about 10th Maths Term 2 Set Language Model Question Paper

Write your Comment