Exactly 36% of the numbers in set S are even multiples of 3. If 40% of the even integers in set S are not multiples of 3, what percent of the numbers in set S are not even integers?  Choose the most appropriate option:
A) 76%  B) 60%  C) 50%  D) 40%  E) 24%
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.   Therefore:   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 = 40%
<result>D</result>
Exactly 36% of the numbers in set S are even multiples of 3. If 40% of the even integers in set S are not multiples of 3, what percent of the numbers in set S are not even integers?