I get D, here is how I did it.
forget about round table just make the sitting that no 2 men are adjacent or women like wise
so the seating looks like this, first chair 4 ways men can sit on it, second chair 4 ways women can sit on it, third chair 3 ways men can sit, fourth chair 3 ways women can sit.
- - - -
M W M W
4 4 3 3 = 144
Can you explain you reasoning a little bit more. I am confused because there are 8 chairs, not 4??