EduSahara™ Assignment
Name : Operations on Sets
Chapter : Sets
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
If A ⊂ B, then which of the following are true?
a)
A ∪ B = B
b)
A ∪ B = A
c)
A ∪ B = ∅
d)
A ∩ B = A
e)
A ∩ B = B
(i)
{c,d}
(ii)
{c,d,a}
(iii)
{e,b,a}
(iv)
{b,a}
(v)
{a,d}
Question
2
2.
If A ⊂ B, then which of the following are true?
a)
B − A = B
b)
A − B = ∅
c)
A − B = B
d)
B − A = A
e)
A ∪ B = ∅
(i)
{a,b}
(ii)
{c,b}
(iii)
{d,e,b}
(iv)
{b}
Question
3
3.
Given 5 sets A =
{3,5,1,8}
, B =
{3,8,5,1}
,
C =
{8,1,2,10,7,4,3}
,
D =
{12,15,17,19,18,16,14}
and E =
{9,5,6,8,7,10,2,1,3,4}
,
which of the following are true?
a)
A ⊂ C
b)
C = D
c)
C ↔ D
d)
A = B
e)
A ↔ C
(i)
{b,d}
(ii)
{b,d,c}
(iii)
{c,d}
(iv)
{e,a,c}
(v)
{a,c}
Question
4
4.
For any two non-empty sets A and B, which of the following are true?
a)
A ∩ B = B ∪ A
b)
A ∪ B = B ∩ A
c)
A ∪ B = B ∪ A
d)
A ∩ B = B ∩ A
e)
A ∪ B = ∅
(i)
{b,d}
(ii)
{c,d}
(iii)
{a,c}
(iv)
{e,a,c}
(v)
{b,d,c}
Question
5
5.
If A = {3,5,0} and B = {1,0,2} , then A ∪ B =
(i)
{5,1,9,0,2,3}
(ii)
{0,1,2,5,3}
(iii)
{1,3,0,2}
(iv)
{1,5,0,3,8}
(v)
{3,2,5,1}
Question
6
6.
If A = {4,1,0,10} and B = {2,8,9,4} , then A ∪ B =
(i)
{2,9,10,1,4,8}
(ii)
{13,9,8,10,1,4,2,0}
(iii)
{8,10,0,2,4,13,1}
(iv)
{10,2,0,8,4,9,1}
(v)
{2,8,10,4,0,1}
Question
7
7.
If A = {14,2,0,6,7} and B = {6,15,13,3,12} , then A ∪ B =
(i)
{14,13,7,2,12,0,3,6}
(ii)
{3,12,6,14,15,13,7,2,17}
(iii)
{7,12,2,3,15,14,13,0,6}
(iv)
{13,15,12,0,7,6,3,14}
(v)
{13,15,7,14,0,2,12,3,18,6}
Question
8
8.
If A = {4,7,10} and B = {2,0,6} , then A ∩ B =
(i)
{4}
(ii)
{15}
(iii)
{}
(iv)
{2,4}
(v)
{2}
Question
9
9.
If A = {7,4,9,1,10} and B = {0,5,3,4,2} , then A ∩ B =
(i)
{0,7,4}
(ii)
{4,10}
(iii)
{4,15}
(iv)
{4}
(v)
{4,3}
Question
10
10.
If A = {15,10,14,2,11,8,1} and B = {9,12,1,0,3,13,5} , then A ∩ B =
(i)
{0,1}
(ii)
{1,20}
(iii)
{1}
(iv)
{11,1}
(v)
{12,2,1}
Question
11
11.
If A = {2,1,3,9} and B = {7,6,3,9} , then A − B =
(i)
{1}
(ii)
{3,1,2}
(iii)
{1,2}
(iv)
{7,6}
(v)
{1,2,14}
Question
12
12.
If A = {10,3,4,1,6} and B = {14,1,8,0,6} , then A − B =
(i)
{4,10,3,19}
(ii)
{10,4}
(iii)
{3,4,10}
(iv)
{0,8,14}
(v)
{4,10,6,3}
Question
13
13.
If A = {12,4,1,0,13,6} and B = {9,10,15,3,0,6} , then A − B =
(i)
{9,3,15,10}
(ii)
{12,13,4,1,6}
(iii)
{12,4,1}
(iv)
{12,4,13,1}
(v)
{12,13,4,1,16}
Question
14
14.
If A = {4,0,7,1} and B = {6,2,10,1} , then B − A =
(i)
{10,6}
(ii)
{6,2,10}
(iii)
{6,1,2,10}
(iv)
{13,10,2,6}
(v)
{}
Question
15
15.
If A = {8,7,13,1,11} and B = {2,5,0,13,11} , then B − A =
(i)
{0,13,5,2}
(ii)
{}
(iii)
{2,5}
(iv)
{5,0,20,2}
(v)
{5,0,2}
Question
16
16.
If A = {2,11,9,7,5,3} and B = {7,2,4,8,13,3} , then B − A =
(i)
{8,13,17,4}
(ii)
{}
(iii)
{8,13,4}
(iv)
{8,13,3,4}
(v)
{4,13}
Question
17
17.
The symmetric difference of set A = {4,2,5,3} and set B = {1,0,5,3} is
(i)
{2,1,0}
(ii)
{1,0}
(iii)
{4,3,1,0,2}
(iv)
{4,2}
(v)
{1,4,0,2}
Question
18
18.
The symmetric difference of set A = {9,7,0,8,10} and set B = {1,0,3,4,10} is
(i)
{8,1,7,3,4}
(ii)
{4,1,3}
(iii)
{8,7,3,1,9,4}
(iv)
{7,4,9,1,8,3,10}
(v)
{8,7,9}
Question
19
19.
If μ = {-6,7,-4,-7,-2,-5,6,5,-1,9,8}, A = {-6,7,-4} and B = {-7,-2,7,-5,6,5}, find A ∪ B
(i)
{5,-5,-4,-7,-2,6,-6}
(ii)
{-7,-4,6,7,-2,-5,-6,8}
(iii)
{-4,-7,5,-6,-5,6,-2,7}
(iv)
{-2,-7,6,-5,-6,8,5,-4,7}
(v)
{5,-5,-7,-6,-4,7,-2}
Question
20
20.
If μ = {8,-9,-8,1,0,-3,7,-4,3,4,5}, A = {8,-9,-8,1,0} and B = {-3,7,0}, find A ∩ B
(i)
{5}
(ii)
{}
(iii)
{4,0}
(iv)
{0}
Question
21
21.
If μ = {9,-9,-2,5,-6,1,7,4,-4,6,-5,3,8,-7}, A = {9,-9,-2,5,-6,1,7} and B = {9,-9,4}, find A − B
(i)
{}
(ii)
{-2,1,-6,5}
(iii)
{-2,5,-6,-5,7}
(iv)
{-2,1,-6,7,5}
(v)
{1,7,-2,3,5,-6}
Question
22
22.
If μ = {-7,-1,4,-5,-2,6,8,7,3,1}, A = {-7,-1,4} and B = {-5,-2,4,6,8}, find B − A
(i)
{8,-2,1,6}
(ii)
{-2,6,1,-5,8}
(iii)
{8,-2,-5}
(iv)
{}
(v)
{6,-5,8,-2}
Question
23
23.
If μ = {7,-2,8,0,-9,-5,2,-7,-6,3,-4,6,-1,-3}, A = {7,-2,8,0,-9,-5} and B = {2,-7,-6,-5}, find (A − B) ∪ (B − A)
(i)
{7,-2,-7,-9,-6,8,0,2,-4}
(ii)
{-9,8,0,7,-7,-2,-6}
(iii)
{7,3,8,-2,-9,-7,-6,2}
(iv)
{0,-6,2,7,-7,-9,-2}
(v)
{-2,-6,7,8,-9,0,2,-7}
Question
24
24.
If μ = {0,3,-5,4,1,2,-3,5,7,8,-4,-1,-6}, A = {0,3,-5,4,1,2} and B = {0,-3,4}, find (A ∪ B) − (A ∩ B)
(i)
{-3,2,-5,3}
(ii)
{-5,3,1,2}
(iii)
{8,-5,3,1,-3}
(iv)
{-3,1,-5,2,3}
(v)
{-3,-1,2,-5,3,1}
Question
25
25.
If μ = {6,4,1,-4,-8,-7,9,3,0,8,-1,5}, A = {6,4,1} and B = {-4,-8,-7,9,3,4,0}, find n(A ∪ B)
(i)
9
(ii)
12
(iii)
6
(iv)
8
(v)
10
Question
26
26.
If μ = {9,7,-6,5,-3,4,8,3,-7,0,-5,1}, A = {9,7,-6} and B = {5,-3,4,8,3,-6,-7}, find n(A ∩ B)
(i)
1
(ii)
4
(iii)
2
(iv)
(-2)
(v)
0
Question
27
27.
If μ = {-5,0,3,8,-8,-3,-7,9,4,-6}, A = {-5,0,3} and B = {8,-8,-3,-7,0}, find n(A − B)
(i)
5
(ii)
1
(iii)
3
(iv)
0
(v)
2
Question
28
28.
If μ = {-5,-4,0,-9,-1,-2,4,-6,2,-7,8,-3,-8,7,3}, A = {-5,-4,0,-9,-1,-2} and B = {-2,4,-6,2,-1}, find n(B − A)
(i)
1
(ii)
6
(iii)
4
(iv)
3
(v)
2
Question
29
29.
If μ = {-2,0,1,4,-7,-8,7,-9,-6,2,-5,-1,-4}, A = {-2,0,1,4,-7} and B = {-8,7,-9,-6,4}, find n((A − B) ∪ (B − A))
(i)
5
(ii)
9
(iii)
8
(iv)
10
(v)
7
Question
30
30.
If μ = {1,7,-9,-7,3,2,-2,-6,-8,5,-4,-1,8,0}, A = {1,7,-9,-7} and B = {3,1,2,7,-7,-2,-6}, find n((A ∪ B) − (A ∩ B))
(i)
7
(ii)
6
(iii)
5
(iv)
4
(v)
2
Assignment Key
1) (v)
2) (iv)
3) (iii)
4) (ii)
5) (ii)
6) (iv)
7) (iii)
8) (iii)
9) (iv)
10) (iii)
11) (iii)
12) (iii)
13) (iv)
14) (ii)
15) (v)
16) (iii)
17) (v)
18) (iii)
19) (iii)
20) (iv)
21) (iv)
22) (v)
23) (v)
24) (iv)
25) (i)
26) (i)
27) (v)
28) (iv)
29) (iii)
30) (iii)
