How many positive integers less than 255 are multiple of 4 but NOT multiples of 6?
Choose the correct choice from the following answers:  A) 20  B) 31  C) 42  D) 43  E) 64
From here, it might be easier to go up in bounds of 60, so we know that 61-120 gives 10 more numbers. 121-180 and 181-240 as well. This brings us up to 240 with 40 numbers. A cursory glance at the answer choices should confirm that it must be 42, as all the other choices are very far away. The numbers 244 and 248 will come and complete the list that’s (naughty or nice) under 250. Answer choice 43 is correct here.
<result>D</result>
How many positive integers less than 255 are multiple of 4 but NOT multiples of 6?