EduSahara™ Assignment
Name : Set Algebra
Chapter : Sets
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Which of the following are true?
a)
A ∩ A' = μ
b)
A ∪ A' = ∅
c)
A ∪ A' = μ
d)
A ∩ A' = A
e)
A ∩ A' = ∅
f)
A ∪ A' = A
(i)
{c,e}
(ii)
{d,f,c}
(iii)
{b,e}
(iv)
{a,c}
(v)
{a,e,c}
Question
2
2.
Which of the following are true with respect to set operations?
a)
Union distributes over intersection
b)
Intersection distributes over union
c)
Intersection is not associative
d)
Intersection is associative
e)
Union does not distribute over intersection
(i)
{a,b,d}
(ii)
{c,a,b}
(iii)
{e,b}
(iv)
{c,a}
(v)
{c,e,d}
Question
3
3.
Which of the following are true with respect to set operations?
a)
Union is commutative
b)
Union is not commutative
c)
Intersection is commutative
d)
Union is associative
e)
Intersection is not commutative
(i)
{b,e,d}
(ii)
{b,a}
(iii)
{b,a,c}
(iv)
{e,c}
(v)
{a,c,d}
Question
4
4.
Which of the following are true?
a)
A' ∩ B' = (A ∩ B)'
b)
A' ∪ B' = (A ∩ B)'
c)
A' ∪ B' = (A ∪ B)'
d)
A' ∩ B' = (A ∪ B)'
e)
A' ∩ B' = A' ∪ B'
(i)
{c,d,b}
(ii)
{a,b}
(iii)
{b,d}
(iv)
{e,a,b}
(v)
{c,d}
Question
5
5.
Which of the following are true?
a)
A ∩ (B ∪ C) = (A ∪ B) ∩ (A ∪ C)
b)
A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)
c)
(A ∩ B) ∩ C = A ∩ (B ∩ C)
d)
(A ∪ B) ∪ C = A ∪ (B ∪ C)
e)
A ∪ (B ∩ C) = (A ∩ B) ∪ (A ∩ C)
f)
A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)
(i)
{a,e,d}
(ii)
{a,f,b}
(iii)
{b,c,d,f}
(iv)
{a,b}
(v)
{e,c}
Question
6
6.
If A = {3,9,1,10,4}, which of the following are true?
a)
3
∈
A
b)
3
∉
A
c)
{3,1}
⊂
A
d)
A
⊃
3
e)
3
⊂
A
(i)
{e,b,a}
(ii)
{a,c}
(iii)
{b,a}
(iv)
{d,c}
(v)
{d,c,a}
Question
7
7.
If A and B are disjoint sets, which of the following are true?
a)
A ⊂ B
b)
A ∩ B= ∅
c)
B ⊂ A
d)
A ∪ B = A
e)
A ∩ B = A
(i)
{b}
(ii)
{d,e,b}
(iii)
{c,b}
(iv)
{a,b}
Question
8
8.
If A = {j,f,y,a,e}, which of the following are true?
a)
A
⊃
j
b)
j
∈
A
c)
j
∉
A
d)
{e,f}
⊂
A
e)
j
⊂
A
(i)
{a,b}
(ii)
{b,d}
(iii)
{c,d}
(iv)
{c,d,b}
(v)
{e,a,b}
Question
9
9.
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
(i)
{c,d}
(ii)
{b,a,d}
(iii)
{a,d,e}
(iv)
{b,c,e}
(v)
{b,a}
Question
10
10.
Which of the following are true?
a)
A ∪ ∅ = ∅
b)
A ∪ A = ∅
c)
A ∩ ∅ = A
d)
A ∪ ∅ = A
e)
A ∪ A = A
(i)
{c,a,d}
(ii)
{d,e}
(iii)
{a,d}
(iv)
{b,e,d}
(v)
{b,e}
Question
11
11.
If A ⊂ B, then which of the following are true?
a)
A' ⊂ B
b)
B ⊂ A
c)
A' = B
d)
A = B
e)
B ⊃ A
(i)
{c,d,e}
(ii)
{e}
(iii)
{b,e}
(iv)
{a,e}
Question
12
12.
If A ⊂ B, then which of the following are true?
a)
A ∪ B = ∅
b)
A ∩ B = A
c)
A ∪ B = A
d)
A ∩ B = B
e)
A ∪ B = B
(i)
{c,e}
(ii)
{c,e,b}
(iii)
{b,e}
(iv)
{a,b}
(v)
{d,a,b}
Question
13
13.
If A ⊂ B, then which of the following are true?
a)
B − A = A
b)
A − B = B
c)
A − B = ∅
d)
B − A = B
e)
A ∪ B = ∅
(i)
{b,c}
(ii)
{d,e,c}
(iii)
{a,c}
(iv)
{c}
Question
14
14.
Given 5 sets A =
{6,5,8,1}
, B =
{5,8,1,6}
,
C =
{4,10,7,6,3,8,2}
,
D =
{13,14,11,12,16,19,17}
and E =
{9,6,7,3,5,4,1,10,8,2}
,
which of the following are true?
a)
A = B
b)
C ↔ D
c)
A ↔ C
d)
C = D
e)
A ⊂ C
(i)
{d,b,a}
(ii)
{c,a}
(iii)
{d,b}
(iv)
{e,c,a}
(v)
{a,b}
Question
15
15.
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,b}
(iii)
{e,a,b}
(iv)
{a,b}
(v)
{c,d}
Assignment Key
1) (i)
2) (i)
3) (v)
4) (iii)
5) (iii)
6) (ii)
7) (i)
8) (ii)
9) (iii)
10) (ii)
11) (ii)
12) (iii)
13) (iv)
14) (v)
15) (i)
