Question

D=xlx is a whole number)

E = {xlx is a perfect square between 1 and 9)
F={xlx is an even number greater than or equal to 2 and less than 9)
Which of the following is an element of D n (E n F)?
16
3
6
4

Answer 1

Option (4)

Explanation:

D = x is a whole number

D = {1, 2, 3, 4..........}

E = x is a perfect square between 1 and 9

E = {4}

F = x is an even number greater than 2 and less than 9

F = {2, 4, 6, 8}

(E ∩ F) = Set of common numbers of E and F

= {4}

D ∩ (E ∩ F} = Set of common numbers in the sets of D and (E ∩ F)

= {4}

Therefore, Option (4) will be the answer.