If A = {x : x is a natural number}, B = {x : x is an even natural number}, C = {x : x is an odd natural number} and D = {x : x is a prime number}, Find :
(i) `A cap B`
(ii) `A cap C`
(iii) `A cap D`
(iv) `B cap C`
(v) `B cap D`
(vi) `C cap D`.

Options

A. `AnnB`
B. `AnnC`
C. `BnnD`
D. `CnnD`

Answer

A, B, C, D

Explanation

A = {x : x is a natural number}
B = {x : x is an even natural number}
C = {x : x is an odd natural number}
D = {x : x is a prime number}
(i) `AnnB` = {x : x = 2n, `n in N`} = B
(ii) `AnnC` = {x : x is an odd natural number} = C
(iii) `BnnD` = {x : x is prime natural number} ={2}
(iv) `C nn D` = {x : x is odd prime natural number}