ICSE ICSE Class 8 - CISCE Question Bank Solutions

If P = {x : x ∈ W and 4 ≤ x ≤ 8}, and Q = {x : x ∈ N and x < 6}. Find: Is (P ∪ Q) ⊃ (P ∩ Q)?

If A = {5, 6, 7, 8, 9}, B = {x : 3 < x < 8 and x ∈ W} and C = {x : x ≤ 5 and x ∈ N}.
Find: A ∪ B and (A ∪ B) ∪ C

If A = {5, 6, 7, 8, 9}, B = {x : 3 < x < 8 and x ∈ W} and C = {x : x ≤ 5 and x ∈ N}. Find:

B ∪ C and A ∪ (B ∪ C)

If A = {5, 6, 7, 8, 9}, B = {x : 3 < x < 8 and x ∈ W} and C = {x : x ≤ 5 and x ∈ N}. Find: 
A ∩ B and (A ∩ B) ∩ C

If A = {5, 6, 7, 8, 9}, B = {x : 3 < x < 8 and x ∈ W} and C = {x : x ≤ 5 and x ∈ N}. Find:

B ∩ C and A ∩ (B ∩  C)
Is (A ∪ B) ∪ C = A ∪ (B ∪ C)?
Is (A ∩ B) ∩ C = A ∩ (B ∩ C)?

Given A = {0, 1, 2, 4, 5}, B = {0, 2, 4, 6, 8} and C = {0, 3, 6, 9}. Show that  A ∪ (B ∪ C) = (A ∪ B) ∪ C i.e. the union of sets is associative.

Given A = {0, 1, 2, 4, 5}, B = {0, 2, 4, 6, 8} and C = {0, 3, 6, 9}. Show that  A ∩ (B ∩ C) = (A ∩ B) ∩ C i.e. the intersection of sets is associative.

If A = {x ∈ W : 5 < x < 10}, B = {3, 4, 5, 6, 7} and C = {x = 2n; n ∈ N and n ≤4}. Find:

A ∩ (B ∪ C)

If A = {x ∈ W : 5 < x < 10}, B = {3, 4, 5, 6, 7} and C = {x = 2n; n ∈ N and n ≤4}. Find:

(B ∪ A) ∩  (B ∪ C)

If A = {x ∈ W : 5 < x < 10}, B = {3, 4, 5, 6, 7} and C = {x = 2n; n ∈ N and n ≤4}. Find:

B ∪ (A ∩ C)

If A = {x ∈ W : 5 < x < 10}, B = {3, 4, 5, 6, 7} and C = {x = 2n; n ∈ N and n ≤4}. Find:

(A ∩  B) ∪ (A ∩ C)

If P = {factors of 36} and Q = {factors of 48}; Find: P ∩ Q

If P = {factors of 36} and Q = {factors of 48}; Find: Q - P.

From the given diagram find : 
A ∪ B

From the given diagram find : 
A' ∩ B

From the given diagram find : 
A - B

From the given diagram find : 
B - A

From the given diagram find : 
(A ∪ B)'

From the given diagram, find: 
(i) A’ 
(ii) B’ 
(iii) A' ∪ B' 
(iv) (A ∩ B)'

Is A' ∪ B' = (A ∩ B)' ?

Also, verify if A' ∪ B' = (A ∩ B)'.

Use the given diagram to find:

(i) A ∪ (B ∩ C)

(ii) B - (A - C)

(iii) A - B

(iv) A ∩ B'

Is A ∩ B' = A - B?