Question

If U = {x : x $ϵ$ N}, A = {x : x = 2n, n $\in$ N} and B = {x : x is a prime number}, then A $\cap$ B is ___.

• A. a singleton set
• B. a null set
• C. an infinite set
• D. none of the above

Answer 1

The correct option is A

a singleton set

U = {x : x $ϵ$ N}

U = {1,2,3, 4,5,……..}

A = {x : x = 2n, n $ϵ$ N}

A = {2, 4,6,8,…….}

B = {x : x is a prime number}

B = {2, 3, 5, 7, 11,……}

A $\cap$ B = {2}

Hence A $\cap$ B is a singleton set