pattern - Raven's style IQ question

What is the correct answer to this problem, and what is the reasoning behind your solution?

Answer

I came across this puzzle a while back and it gave me a hard time but I think I solved it.

The answer is 1

Here is my logic

The images follow a particular trend as you go from left to right in each row. In the first row, the first image is two circles which are overlapping and the number of enclosed regions are 3 + 1(the region outside the circles but inside the square). The second image, has just one circle which is intersected with a line, but the line doesn't affect the number of enclosed regions. So, the number of enclosed regions is 1 + 1(again the region outside the circle but inside the square). The third image has just some intersecting curves and a line, so the number of enclosed regions is just 1.

We see a trend.

In the first row, the number of enclosed regions goes as 4,2,1. Now for the second row, following the same logic as the first row we see that the first image has 8 enclosed regions, the second image has 4 enclosed regions and the third image has 2 enclosed regions. Again, we see the trend in 2nd row going as 8,4,2.

Now for the missing image

In the third row, the first image has 3 enclosed regions, the second image has 2 enclosed regions and following the logic the last image must have 1 enclosed region so that it goes as 3,2,1. The only image with one enclosed region is option 1.