SSC Board Practice

SSC Grade X - Sets
Question 1
1.
Which of the following diagrams represent equal sets?
  • figure 4
  • figure 1
  • figure 3
  • figure 2
Question 2
2.
Which of the following are true?
a)
A ∪ A = A
b)
A ∪ ∅ = A
c)
A ∪ ∅ = ∅
d)
A ∪ A = ∅
e)
A ∩ ∅ = A
  • {c,a}
  • {e,c,a}
  • {d,b,a}
  • {d,b}
  • {a,b}
Question 3
3.
Which of the following is a proper subset of A = {4,0,3}?
  • {2,4}
  • {3,1}
  • {4,0,3}
  • {3,4}
  • {5,3,4}
Question 4
4.
If A = {3,-2,-6} and μ = {3,-2,-6,5,8}, find A ∩ A
  • {3,-2,-3}
  • {-6,3}
  • {1,-6,3}
  • {-2,-6,3}
  • {-6,4,-2,3,1}
Question 5
5.
Which of the following are null sets?
a)
{}
b)
{empty}
c)
{3,7,4}
d)
e)
{∅}
  • {a,d}
  • {e,b,a}
  • {c,d}
  • {b,a}
  • {c,d,a}
Question 6
6.
Which of the following is equal to set A = {2,9,3,6,-1,-3}?
  • {-9,4,-1,-7,6}
  • {4,-2,5,-9,0,8}
  • {6,9,-1,2,-3,3}
  • {2,9,3,6,-1,0}
  • {0,3,-9,9,-6,-8,-4}
Question 7
7.
Find A ∪ μ
  • {12,-9,3,0,4,2,-1,6,8}
  • {8,12,4,-9,6,-1,3}
  • {}
  • {8,3,6,-9,-7,7,4,-1}
  • {3,8,-1,6,4,-9,7}
Question 8
8.
Which of the following symbols represent the set of Irrational numbers ?
  • R
  • Q
  • W
  • N
  • Q'
Question 9
9.
If A = {-6,7,-4} and μ = {-6,7,-4,-2,2}, find A ∪ A
  • {7,-4}
  • {7,-6,0,-4,2}
  • {1,-5,7}
  • {-6,7,-4}
  • {11,-4,-6}
Question 10
10.
Given sets A, B and C, where A ⊂ B ⊂ C, which of the following are true?
a)
B ⊂ A
b)
B ⊃ A
c)
C ⊂ A
d)
C ⊃ B
e)
∅ ⊂ B
  • {c,d}
  • {a,b,d}
  • {b,d,e}
  • {a,c,e}
  • {a,b}