Question

Match List-I with List-II and select the correct answer using the codes given below for the lists:

List - I	List - II
(A) (E – A) ∪ (Ε – A′)	1. ϕ
(Β) (Ε – [(Α ∪ A′) – (Α ∩ A′)]	2. A
(C) (Ε ∩ (Α – A′) ∪ Α	3. A′
(D) [(E – ϕ) ∪ (ϕ – E)] – A	4. Ε

Here A′ is the complement set of A, E is the universal set and ϕ is an empty set. 

Codes: 

	A	B	C	D
(a)	4	1	2	3
(b)	4	3	2	1
(c)	2	3	4	1
(d)	2	1	4	3

Answer 1

(a) A- 4, B- 1, C- 2, D- 3

(A) (E – A) ∪ (E – A′) = A′ ∪ A = E 

(B) E – {(A ∪ A′) – (A ∩ A′)} 

= E – { E – ϕ } 

= E – E + ϕ = ϕ 

(C) {E ∩ (A – A′) } ∪ A 

= {E ∩ A} ∪ A = A ∪ A = A 

(D) {(E – ϕ) ∪ (ϕ – E)} – A 

= {E ∪ ϕ} – A = E – A = A′