Answer :

A = {x : x is a natural number} = {1, 2, 3, 4, …..}

B = {x : x is an even natural number} = {2, 4, 6, 8, …….}

C = {x : x is an odd natural number} = {1, 3, 5, 7, 9, …….}

D = {x : x is a prime number} = {2, 3, 5, 7, ………}

(i) A ∩ B = {2, 4, 6, 8, …….} = B

(ii) A ∩ C = {1, 3, 5, 7, 9, …….} = C

(iii) A ∩ D = {2, 3, 5, 7, ………} = D

(iv) B ∩ C = {}

(v) B ∩D = {2}

(vi) C ∩ D = {3, 5, 7, ………} = {x : x is an odd prime number}

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