SSLC Maths English Medium - Sets and Functions One Mark Questions Online Test

Mathematics - Sets and Functions

Mathematics - Sets and Functions

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1. For two sets A and B, AUB = A if and only if
   1.   B⊆A
   2.   A⊆B
   3.   A≠B
   4.   A∩B=ᵩ
2. If A ⊂ B then A∩B is
   1.   B
   2.   A\B
   3.   A
   4.   B\A
3. For any two sets P and Q, P∩Q =
   1.   {x:x∈P or x∈Q}
   2.   {x:x∈P and x∉Q}
   3.   {x:x∈P and x∈Q}
   4.   {x:x∉P and x∈Q}
4. If A= { p, q, r, s }, B = { r, s, t, u }, then A\B is
   1.   {p,q}
   2.   {t,u}
   3.   {r,s}
   4.   {p,q,r,s}
5. If n[p(A)] = 64, then n(A) is
   1.   6
   2.   8
   3.   4
   4.   5
6. For any three sets A, B and C, A∩(BUC) is
   1.   (AUB)U(B∩C)
   2.   (A∩B)U(A∩C)
   3.   AU(B∩C)
   4.   (AUB)∩(BUC)
7. For any two sets A and B, {(A\B) U (B\A)} ∩ (AnB) is
   1.   ᵩ
   2.   AUB
   3.   A∩B
   4.   A′∩B′
8. Which one of the following is not true ?
   1.   A\B =AnB′
   2.   A\B=A∩B
   3.   A\B=(AUB)∩B′
   4.   A\B=(AUB)\B
9. For any three sets A, B and C, B\(AUB) is
   1.   (A\B)∩(A\C)
   2.   (B\A)∩(B\C)
   3.   (B\A)∩(A\C)
   4.   (A\B)∩(B\C)
10. If n(A) = 20 , n(B) = 30 and n(AUB) = 40, then n(A∩B) is equal to
    1.   50
    2.   10
    3.   40
    4.   70
11. If { ( x, 2), (4, y) } represents an identity function, then (x,y) is
    1.   (2,4)
    2.   (4,2)
    3.   (2,2)
    4.   (4,4)
12. If { (7, 11), (5, a) } represents a constant function, then the value of ‘a’ is
    1.   7
    2.   11
    3.   5
    4.   9
13. Given f(x)=(-1)^x is a function from N to Z. Then the range of f is
    1.   {1}
    2.   N
    3.   {1,-1}
    4.   Z
14. If f = { (6, 3), (8, 9), (5, 3), (–1, 6) }, then the pre-images of 3 are
    1.   5 and -1
    2.   6 and 8
    3.   8 and -1
    4.   6 and 5
15. Let A = { 1, 3, 4, 7, 11 }, B = {–1, 1, 2, 5, 7, 9 } and f : A ~ B be given by f = { (1, –1), (3, 2), (4, 1), (7, 5), (11, 9) }. Then f is
    1.   one-one
    2.   onto
    3.   bijective
    4.   not a function
16. The given diagram represents
    1.   an onto function
    2.   a constant function
    3.   an one-one function
    4.   not a function
17. If A = { 5, 6, 7 }, B = { 1, 2, 3, 4, 5 } and f(x)=x-2 is defined by f : A ~ B, then the range of f is
    1.   {1,4,5}
    2.   {1,2,3,4,5}
    3.   {2,3,4}
    4.   {3,4,5}
18. If f(x) = X² + 5 , then f (- 4) =
    1.   26
    2.   21
    3.   20
    4.   -20
19. If the range of a function is a singleton set, then it is
    1.   a constant function
    2.   an identity function
    3.   a bijective function
    4.   an one-one function
20. If f : A ~ B is a bijective function and if n(A) = 5 , then n(B) is equal to
    1.   10
    2.   4
    3.   5
    4.   25