If U = (1, 2, 3, 6, 7, 8, 9, 10) is the universal set. E = (10, 4, 6, 8, 10) and F = {x: 1x(^{2}) = 2(^{6}, x is odd}. Find (E ∩ F)’, where ‘ means the complement of a set.

A.
(0) 
B.
U 
C.
(8) 
D.
(phi)
Correct Answer: Option D
Explanation
U = (1, 2, 3, 6, 7, 8, 9, 10)
E = (10, 4, 6, 8, 10)
F = (x : x(^2) = 2(^6), x is odd)
∴ F = (phi) Since x(^2) = 2(^6) = 64
x = (pm 8) which is even
∴ E ∩ F = (phi) Since there are no common elements