Hi, there. I'm happy to help with this.
Let S be the total number of elements in set S.
We know that 0.36*S is the number of even multiples of three.
Let N be the number of even numbers.
We know 0.40*N are even numbers not multiple of three. This also means, 0.60*N are even numbers that are
multiples of three.
0.06*N = 0.36*S
N = (0.36/0.60)*S = (36/60)*S = (6/10)*S = 0.60*S = 60% of S
So even numbers are 60% of S. That means, 40% of S are not even integers. Answer = D
(Bunuel, thanks for catching that
Does that make sense? Please let me know if you have any questions on this.
Magoosh Test Prep