First, the problem states: "The two colours of this picture are swapped. Then the picture is turned. Which of the pictures below is obtained?" I need to look at the images provided.

There are two images: and . has a circle with a black background and yellow dots and rings. has five options labeled (A) through (E), all with yellow backgrounds and various black shapes, including dots and rings.

The key steps are:

1. Swap the two colors: so black becomes yellow, and yellow becomes black.

2. Then turn the picture (rotate it).

I need to perform these operations on and see which option in matches the result.

Start with : It's a black circle with yellow dots and rings. Specifically, there are several yellow dots of different sizes and one yellow ring (a circle with a yellow outline, so it's hollow).

Now, swap the colors: So the black background should become yellow, and the yellow elements (dots and the ring) should become black.

After swapping:

• The circle outline was black, but since the background is black, the circle is defined by the black boundary. After color swap, the background becomes yellow, and the previous yellow elements become black.

I should think of the image as having a black background and yellow foreground elements. Swapping colors means the background turns yellow, and the foreground turns black.

So, after color swap:

• The circle's boundary: originally black, now yellow (since background was black, now it's part of the background? No, let's think carefully.

In , the circle is filled with black, and the dots and rings are yellow on this black background.

After swapping colors:

• The black background becomes yellow.

• The yellow dots and rings become black.

So, the result should be a yellow circle (since the background is now yellow) with black dots and black rings.

But the ring: originally it was a yellow ring, so after swap, it becomes a black ring on a yellow background.

Now, has options with yellow backgrounds and black elements, which matches this.

In , all options have a yellow background, so that's consistent.

Now, the second step is to "turn the picture". It says "turned", which probably means rotated. But it doesn't specify the direction or angle. In such puzzles, it might mean rotated 180 degrees or something common. I need to assume a standard rotation.

Perhaps "turned" means flipped or rotated. But in the context, it might mean rotated. Let me see the options.

Maybe "turned" means reflected, like flipped.

But the word is "turned", which could imply rotation.

To be safe, I should consider both possibilities, but probably it's a 180-degree rotation, as that's common in such puzzles.

Perhaps I can look for symmetry.

Another thought: after color swap, we have a yellow background with black dots and rings. Then we turn the picture. If we rotate it, say 180 degrees, what do we get?

First, let's describe in detail.

: Black circle. Inside, there are:

• One small yellow ring (hollow circle)

• Several yellow dots: one large, one medium, one small, and another small one? Let me count.

Looking at : It has multiple yellow circles: some filled (dots), one unfilled (ring).

Specifically:

• One yellow dot that is large (towards the bottom right)

• One medium yellow dot (top left area)

• One small yellow dot (upper part)

• Another small yellow dot (lower left)

• And one yellow ring, which is a circle with a yellow outline, so it's like a donut shape, but in this case, it's probably just the outline, so it's a thin ring.

In , the ring is yellow, so after swap, it becomes a black ring.

Also, the positions matter.

Let me sketch this mentally.

Assume the circle is centered. But it might not be perfectly symmetric.

From the image: The black circle has yellow elements:

• A large yellow dot near the bottom right

• A medium yellow dot near the top left

• A small yellow dot near the top center

• Another small yellow dot near the bottom left

• And a yellow ring that is centered or near center? It looks like the ring is slightly off-center, but I need to see.

In , the ring is yellow and seems to be around the center but not perfectly; it's a bit to the left.

Similarly, dots are at various positions.

After color swap, we have a yellow circle with:

• A large black dot near bottom right

• A medium black dot near top left

• A small black dot near top center

• A small black dot near bottom left

• And a black ring (outline) at the center-left or something.

Now, the ring: after swap, it's a black ring on yellow background.

In , we have options:

(A) Yellow circle with several black dots: one large at bottom left, one medium at top right, one small at bottom center, and one small at top left? Let's see.

I should list the elements for each option.

First, after color swap of , we have:

• Yellow background (circle)

• Black elements: multiple black dots and one black ring.

The ring is a circular outline.

Now, positions:

In :

• Large yellow dot: at bottom right

• Medium yellow dot: at top left

• Small yellow dot: at top center (slightly above)

• Small yellow dot: at bottom left

• Yellow ring: centered or center-left; it appears to be around the center but slightly left.

After color swap, same positions but colors swapped.

Now, we need to "turn" the picture. What does "turned" mean?

It might mean rotate 180 degrees. That is common in such puzzles to reverse the positions.

Perhaps flip horizontally or vertically.

But let's assume it's a 180-degree rotation for now, as that might match one of the options.

So, if we rotate the entire image 180 degrees, what happens to the positions?

If we have a point at bottom right, after 180 rotation, it goes to top left.

Similarly, top left goes to bottom right.

Top center goes to bottom center.

Bottom left goes to top right.

And for the ring, if it's at center, it stays, but if off-center, it moves.

In , the ring is not exactly center; it's a bit left. After 180 rotation, a left position would go to right, etc.

Let me define coordinates.

Assume the circle has a center. Let's say the center is at (0,0), with y-axis up, x-axis right.

But in images, often y-axis is down, but for simplicity, let's think of standard coordinates with (0,0) center, positive x right, positive y up.

In :

• Large dot: at (x>0, y<0) so bottom right

• Medium dot: at (x<0, y>0) so top left

• Small dot top center: (x≈0, y>0)

• Small dot bottom left: (x<0, y<0)

• Ring: at (x<0, y≈0) so center-left

Now, after 180-degree rotation around center, each point (x,y) goes to (-x, -y).

So:

• Large dot at (x>0, y<0) → (-x, -y) = (x<0, y>0) so top left

• Medium dot at (x<0, y>0) → (-x, -y) = (x>0, y<0) so bottom right

• Small dot top center (x≈0, y>0) → (-x, -y) ≈ (0, -y) so bottom center

• Small dot bottom left (x<0, y<0) → (-x, -y) = (x>0, y>0) so top right

• Ring at (x<0, y≈0) → (-x, -y) = (x>0, y≈0) so center-right

After color swap and 180 rotation, we have:

Yellow background with:

• A large black dot at top left (from medium dot position)

• A medium black dot at bottom right (from large dot position)

• A small black dot at bottom center (from top center dot)

• A small black dot at top right (from bottom left dot)

• A black ring at center-right (from center-left ring)

Now, let's look at the options in :

(A) Yellow circle with: large black dot at bottom left, medium black dot at top right, small black dot at bottom center, and another small black dot? It has multiple dots: one large, one medium, one small, and another small? Also, no ring, I think. In (A), there is no ring, only dots.

In (A), it has three dots: large at bottom left, medium at top right, small at bottom center. And that's it? No other elements. But in our transformed image, we have four dots and a ring. So (A) has only three dots, no ring. So not matching.

(B) Yellow circle with: several small black dots? It has one medium-black dot? Let's see: (B) has a few small black dots: one at top left, one at bottom right, one at bottom center? And no large dots. Specifically: small dot top left, small dot bottom right, small dot bottom center, and that's all? No ring. But we have a large dot and a ring, so not matching.

(C) Yellow circle with: one large black dot at bottom left, one medium black dot at bottom right? And a small black dot at top center? And a black ring at center? In (C), there is a black ring, which is good. Positions: large dot bottom left, medium dot bottom right? It has two dots at bottom: one large left, one medium right? And a small dot at top center. Also, the ring is at center.

In (C), it seems: large black dot at bottom left, medium black dot at bottom right, small black dot at top center, and a black ring near center.

But in our transformed, we have large dot at top left, medium at bottom right, small at bottom center, small at top right, and ring at center-right.

Not matching: we have dots at top left, bottom right, bottom center, top right, and ring at center-right.

In (C), dots at bottom left, bottom right, top center, and ring center. No dot at top right, and ring is center, not center-right.

(D) Yellow circle with: two black rings? One at center left and one at center right? And dots: large dot at top left, small dot at bottom center? In (D), it has a large black dot at top left, a small black dot at bottom center, and two rings: one at left center and one at right center? But rings are outlines.

Specifically: (D) has large dot top left, small dot bottom center, and two rings: one on the left and one on the right, but not specified center-left/right.

And no medium dot or other dots.

But we have multiple dots including a medium one.

(E) Yellow circle with: large black dot at top right, medium black dot at bottom left? And small dots? In (E), it has large dot top right, medium dot bottom left, small dot bottom center, and another small dot? And a ring? In (E), there is a black ring at center.

Positions: large dot top right, medium dot bottom left, small dot bottom center, and small dot? Top left? And ring center.

In (E), it seems: large black dot at top right, medium black dot at bottom left, small black dot at bottom center, small black dot at top left, and a black ring at center.

That sounds familiar.

In our transformed image: after operations, we have:

• Large black dot at top left

• Medium black dot at bottom right

• Small black dot at bottom center

• Small black dot at top right

• Black ring at center-right

But in (E), it has large at top right, medium at bottom left, small at bottom center, small at top left, and ring at center.

The ring position is different: we have ring at center-right, but in (E) it's at center.

Also, the large and medium dots are swapped in position.

In (E): large top right, medium bottom left

In us: large top left, medium bottom right

So not the same.

Perhaps I have the rotation wrong.

Maybe "turned" means flipped horizontally or vertically.

Let me try that.

First, after color swap, we have yellow background with black elements at:

• Large dot: bottom right

• Medium dot: top left

• Small dot: top center

• Small dot: bottom left

• Ring: center-left

Now, if we flip horizontally (left-right), then x-coordinates reverse.

So (x,y) -> (-x,y)

Thus:

• Large dot bottom right (x>0,y<0) -> (-x,y) = (x<0,y<0) bottom left

• Medium dot top left (x<0,y>0) -> (-x,y) = (x>0,y>0) top right

• Small dot top center (x≈0,y>0) -> (x≈0,y>0) top center

• Small dot bottom left (x<0,y<0) -> (-x,y) = (x>0,y<0) bottom right

• Ring center-left (x<0,y≈0) -> (-x,y) = (x>0,y≈0) center-right

So after horizontal flip: large dot at bottom left, medium dot at top right, small dot top center, small dot bottom right, ring at center-right.

Now, compare to options.

In (C): large dot bottom left, medium dot bottom right? No, in (C) it has large bottom left, but medium is also at bottom? Earlier I thought (C) has large bottom left, medium bottom right, small top center, and ring center.

But here we have medium at top right, not bottom right.

In (C), the medium dot is at bottom right, but we have it at top right.

Not matching.

After vertical flip.

Vertical flip: (x,y) -> (x,-y)

After color swap:

• Large dot bottom right (x>0,y<0) -> (x,-y) = (x>0,y>0) top right

• Medium dot top left (x<0,y>0) -> (x,-y) = (x<0,y<0) bottom left

• Small dot top center (x≈0,y>0) -> (x,-y) = (x≈0,y<0) bottom center

• Small dot bottom left (x<0,y<0) -> (x,-y) = (x<0,y>0) top left

• Ring center-left (x<0,y≈0) -> (x,-y) = (x<0,y≈0) center-left still? y≈0, so -y≈0, so center-left.

After vertical flip: large dot at top right, medium dot at bottom left, small dot at bottom center, small dot at top left, ring at center-left.

Now, look at (E): in (E), it has large dot top right, medium dot bottom left, small dot bottom center, small dot top left, and ring at center.

But we have ring at center-left, while in (E) it's at center.

Close but not exact; ring position.

Perhaps in the original, the ring is at center, so it doesn't move.

In , is the ring at center?

Let me look back at the image.

In , the yellow ring is not exactly at center; it's a bit to the left. Similarly, in the options, the rings might not be perfectly centered.

But in (E), the ring is at center, I think.

Perhaps for the purpose of this puzzle, we can assume the ring is at center.

In , the ring appears to be near the center, but not perfectly. However, in such puzzles, we often consider it at center for simplicity.

Similarly, in the options.

After color swap and 180 rotation, we had ring at center-right, but if we assume center, it might be okay.

But in (E), ring is at center, so let's see the dot positions.

From above, after vertical flip: large at top right, medium at bottom left, small at bottom center, small at top left, ring at center-left.

In (E): large top right, medium bottom left, small bottom center, small top left, ring center.

So the only difference is ring position: we have center-left, (E) has center.

But in the original , the ring is center-left, so after vertical flip, it should be center-left, not center.

Similarly, in (E), the ring is not at center; let's check the image.

In (E): the ring is at the center, I believe. It's a black ring at the center.

In (D), there are two rings, one left and one right.

But in (E), it seems one ring at center.

Perhaps I need to count the elements.

Another idea: perhaps "turned" means rotated 180 degrees, but I have a mistake in the color swap.

Let's list the elements in again.

: black background.

• One large yellow filled circle (dot) at bottom right

• One medium yellow dot at top left

• One small yellow dot at top center

• One small yellow dot at bottom left

• One yellow ring (outline) at center-left

After color swap: yellow background, so the circle is now yellow with black elements:

• Large black dot at bottom right (was large yellow dot)

• Medium black dot at top left (was medium yellow dot)

• Small black dot at top center (was small yellow dot)

• Small black dot at bottom left (was small yellow dot at bottom left)

• Black ring at center-left (was yellow ring)

Now, "the picture is turned" – let's assume 180-degree rotation.

After 180 rotation:

• Large black dot was at bottom right -> moves to top left

• Medium black dot was at top left -> moves to bottom right

• Small black dot was at top center -> moves to bottom center

• Small black dot was at bottom left -> moves to top right

• Black ring was at center-left -> after 180 rotation, center-left becomes center-right, because (x,y) -> (-x,-y), so if center-left is (-c,0), it becomes (c,0) which is center-right.

So:

• Large black dot at top left

• Medium black dot at bottom right

• Small black dot at bottom center

• Small black dot at top right

• Black ring at center-right

Now, look at the options.

In , (D) has: large black dot at top left, small black dot at bottom center, and two black rings: one at center-left and one at center-right? In (D), it has a large dot at top left, a small dot at bottom center, and two rings: one on the left and one on the right, which could be center-left and center-right.

Also, in (D), are there medium dots? No, only large and small dots, and two rings.

But in our transformed, we have a medium dot at bottom right, which is not in (D).

(D) has no dot at bottom right; it has only large at top left and small at bottom center.

So missing the medium dot and the small at top right.

Not matching.

(C) has large at bottom left, medium at bottom right, small at top center, and ring at center.

But we have large at top left, etc.

(E) has large at top right, medium at bottom left, small at bottom center, small at top left, and ring at center.

But we have large at top left, medium at bottom right, small at bottom center, small at top right, ring at center-right.

So positions are different.

Perhaps the ring is considered at center, and the dots are symmetric.

Another thought: in , the ring might be at the center, and the dots are symmetric.

But in the image, the ring is not exactly center; it's a bit left.

Similarly, in the options, for (E), the ring is at center.

But let's count the number of dots.

In , there are four dots: one large, one medium, two small, and one ring.

After operations, same.

In (E), it has two large? No, large and medium, which are different sizes, and two small, and one ring.

Sizes: large, medium, small, small, ring.

In our case, after 180 rotation, we have dots at top left (large), bottom right (medium), bottom center (small), top right (small), and ring at center-right.

In (E), it has top right (large), bottom left (medium), bottom center (small), top left (small), ring center.

So the large and medium are swapped, and the small dots are at different corners, and ring position.

But if we consider that the ring is at center in original, then after rotation, it should be at center.

Assume that in , the ring is at the center for simplicity.

Then after color swap and 180 rotation:

• Large dot bottom right -> top left

• Medium dot top left -> bottom right

• Small dot top center -> bottom center

• Small dot bottom left -> top right

• Ring at center -> center

So we have: large black dot at top left, medium black dot at bottom right, small black dot at bottom center, small black dot at top right, black ring at center.

Now, compare to (E): (E) has large at top right, medium at bottom left, small at bottom center, small at top left, ring at center.

Not the same; (E) has large top right, medium bottom left, whereas we have large top left, medium bottom right.

So it's like a reflection.

Perhaps "turned" means flipped horizontally.

After color swap: large dot bottom right, medium dot top left, small dot top center, small dot bottom left, ring center-left.

After horizontal flip: large dot bottom left, medium dot top right, small dot top center, small dot bottom right, ring center-right.

Now, this looks like: large at bottom left, medium at top right, small at top center, small at bottom right, ring at center-right.

But in the options, (C) has large at bottom left, medium at bottom right, small at top center, ring at center.

But in (C), the medium dot is at bottom right, but we have medium at top right.

Not matching.

(D) has large at top left, small at bottom center, and rings at left and right, but no medium dot.

Not.

(E) has large top right, medium bottom left, etc.

Perhaps for the small dots, in some options, they are not both present.

Let's list all options clearly.

From the image:

:

(A) : Yellow circle. Black dots: one large at bottom left, one medium at top right, one small at bottom center. No ring.

(B) : Yellow circle. Black dots: one small at top left, one small at bottom right, one small at bottom center. All small, no large or medium, no ring.

(C) : Yellow circle. Black dots: one large at bottom left, one medium at bottom right, one small at top center. And one black ring at center.

(D) : Yellow circle. One large black dot at top left, one small black dot at bottom center. And two black rings: one at center-left and one at center-right.

(E) : Yellow circle. One large black dot at top right, one medium black dot at bottom left, one small black dot at bottom center, one small black dot at top left. And one black ring at center.

In our transformed image with 180 rotation and center ring, we have: large at top left, medium at bottom right, small at bottom center, small at top right, ring at center.

But in (E), we have large at top right, medium at bottom left, small at bottom center, small at top left, ring at center.

So it's almost a mirror image.

Perhaps the original ring is not at center, so after rotation, it's at center-right, and in (D), there is a ring at center-right.

In (D), it has a ring at center-right and one at center-left, but we have only one ring at center-right.

In (D), it has two rings, but in original, only one ring.

So not.

Unless after color swap and rotation, we have one ring, but in (D) there are two.

So not matching.

Perhaps "turned" means rotated 90 degrees, but that might not make sense with the dots.

Another idea: perhaps "the two colours are swapped" means only the background and foreground are swapped, but the ring might be considered differently.

Or perhaps the ring is part of the background or something, but that seems unlikely.

Let's think about the ring. In , the ring is yellow, so after swap, it should be black on yellow.

In the options, (C) and (E) have a ring.

In (C), the ring is at center, in (E) at center.

But in our case, after operations, the ring is at center-right for 180 rotation.

But in the options, only (D) has a ring at center-right, but (D) has two rings and only two dots.

Not matching.

Perhaps for the turn, it's not rotation, but reflection.

Or perhaps "turned" means flipped vertically.

After color swap: large dot bottom right, medium dot top left, small dot top center, small dot bottom left, ring center-left.

After vertical flip: large dot top right (since bottom right to top right), medium dot bottom left (top left to bottom left), small dot bottom center (top center to bottom center), small dot top left (bottom left to top left), ring center-left (vertical flip, x same, y inverted, but if ring at (x<0,y=0), after vertical flip, (x<0,y=0) still, so center-left.

So: large at top right, medium at bottom left, small at bottom center, small at top left, ring at center-left.

This is exactly what is in (E): (E) has large at top right, medium at bottom left, small at bottom center, small at top left, and ring at center.

But in (E), the ring is at center, not center-left.

In the image, for (E), the ring is at the center, I think.

Let's look: in (E), the black ring is at the center of the circle.

Similarly, in original, the ring is not exactly at center; it's a bit left.

But in (E), it is at center.

Perhaps in the puzzle, we should consider the ring at center for matching.

Or perhaps in the vertical flip, if the ring is at (x<0,y=0), after vertical flip, it should be at (x<0,y=0), same position, but since it's a circle, it might look centered if symmetric, but it's not.

I think there's a mistake.

Perhaps "turned" means the picture is rotated 180 degrees, and we need to find which option matches after that.

But let's try to generate the image after operations.

After color swap: yellow background, black large dot at bottom right, black medium dot at top left, black small dot at top center, black small dot at bottom left, black ring at center-left.

Then after 180 rotation: each point (x,y) -> (-x,-y)

So large dot at bottom right (x>0,y<0) -> (-x,-y) = (x<0,y>0) top left

Medium dot at top left (x<0,y>0) -> (-x,-y) = (x>0,y<0) bottom right

Small dot at top center (x=0,y>0) -> (0,-y) = (0,y<0) bottom center

Small dot at bottom left (x<0,y<0) -> (-x,-y) = (x>0,y>0) top right

Ring at center-left (x<0,y=0) -> (-x,0) = (x>0,y=0) center-right

So: yellow circle with:

• Black large dot at top left
• Black medium dot at bottom right
• Black small dot at bottom center
• Black small dot at top right
• Black ring at center-right

Now, look at the options. None of them have a dot at bottom right or top right specifically, but (D) has a ring at center-right and one at center-left, but only two dots.

(C) has dots at bottom left, bottom right, top center.

Not.

(E) has dots at top right, bottom left, bottom center, top left, and ring center.

But we have medium at bottom right, not bottom left.

Unless the medium dot is considered at bottom right, but in (E) it's at bottom left.

Perhaps the size is different.

Another idea: in , the medium dot and large dot are both dots, but after swap and rotation, the position of medium is at bottom right.

But in the options, for example, (C) has a medium dot at bottom right, but in (C) it has large at bottom left, not top left.

I think I need to consider that "turned" might mean flipped horizontally.

After color swap: large dot bottom right, medium dot top left, small dot top center, small dot bottom left, ring center-left.

After horizontal flip: large dot at bottom left ( since right to left), medium dot at top right (left to right), small dot top center (same), small dot bottom right (left to right), ring center-right (left to right).

So: large black dot at bottom left, medium black dot at top right, small black dot at top center, small black dot at bottom right, black ring at center-right.

Now, this has large at bottom left, medium at top right, small at top center, small at bottom right, ring at center-right.

Compare to (C): (C) has large at bottom left, medium at bottom right, small at top center, ring at center.

But in (C), the medium is at bottom right, but we have medium at top right, and we have an additional small at bottom right.

In (C), there is a medium dot at bottom right, which could be the small dot in our case? No, sizes are different.

In (C), it has one large and one medium, both at bottom, and one small at top center.

But we have a medium at top right and a small at bottom right, so different.

Not matching.

Perhaps for the small dots, they are not distinguished, but in the image, they are different sizes.

I think I have to accept that for the ring position, in the puzzle, it is considered at center.

So let's assume that in , the ring is at the center.

Then after color swap and 180 rotation:

• Large dot bottom right -> top left

• Medium dot top left -> bottom right

• Small dot top center -> bottom center

• Small dot bottom left -> top right

• Ring at center -> center

So: large at top left, medium at bottom right, small at bottom center, small at top right, ring at center.

Now, this is not directly in the options, but (E) has large at top right, medium at bottom left, small at bottom center, small at top left, ring at center.

So if we swap the large and medium positions, it's different.

But notice that the small dots: we have one at top right and one at bottom center, in (E) small at top left and bottom center.

Bottom center is common.

Top left in (E), top right in us.

But in (E), there is a small at top left, which in us is at top right.

Perhaps it's a mirror image.

Maybe the original image has the ring not at center, but after operations, it matches (D) with the ring at center-right.

But (D) has only two dots and two rings.

I think I found a possibility.

In , the yellow ring might be considered as a hole or something, but I think it's a yellow outline.

Another thought: when colors are swapped, the ring might change, but I think it's straightforward.

Perhaps " the two colours are swapped" means that black and yellow are swapped, so the background becomes yellow, and the yellow elements become black, including the ring.

Then " the picture is turned" might mean rotated 180 degrees.

Then the resulting image should have the dots in rotated positions.

But as above.

Let's look at the number of dots.

In , there are four dots: sizes large, medium, small, small.

After operations, same.

In (E), there are four dots: large, medium, small, small, and a ring.

Positions in (E): large top right, medium bottom left, small bottom center, small top left, ring center.

In our rotated version with center ring: large top left, medium bottom right, small bottom center, small top right, ring center.

So if we compare, the large and medium are diagonal opposites, but in (E) large top right and medium bottom left, in us large top left and medium bottom right, so it's the other diagonal.

And the small dots: in (E) small at bottom center and top left, in us small at bottom center and top right.

So if the top left and top right are symmetric, but in the image, it might not matter, but the ring is at center in both.

But in the original, the ring is not at center, so perhaps for the puzzle, it is.

Perhaps "turned" means flipped horizontally, and we have the image as: after color swap and horizontal flip: large at bottom left, medium at top right, small at top center, small at bottom right, ring at center-right.

Then this has ring at center-right, and in (D), there is a ring at center-right, but (D) has a ring at center-left as well, and only two dots.

Not.

I think I need to consider that the small dots are identical, so their positions might not be distinguished, but the sizes are different for large and medium.

Let's assume that the ring is at center for both.

Then after color swap and 180 rotation, we have large at top left, medium at bottom right, small at bottom center, small at top right, ring at center.

Now, this can be seen as similar to (E) but with large and medium swapped.

But in the options, there is no such thing.

Perhaps for the turn, it's not done, or I have a different interpretation.

Another idea: "the picture is turned" might mean that it is flipped, and "turned" could be ambiguous.

Perhaps in the context, "turned" means reversed or something.

Let's try to see which option, after color swap and turn, gives back the original or something, but the question is to find which one is obtained after the operations on the first image.

The question: "Then the picture is turned. Which of the pictures below is obtained?" after swapping colors and turning the first picture.

So we need to apply to .

Perhaps I can apply the operations to the options and see which one matches after inverse operations, but that might be complicated.

Let's think about the ring.

In , there is one ring.

After color swap, it becomes a black ring on yellow.

Then after turn, if rotated, position changes.

In the options, (C) and (E) have one ring, (D) has two rings.

So likely (C) or (E).

Now for the dots.

In , there are four dots of different sizes: large, medium, small, small.

Positions: large bottom right, medium top left, small top center, small bottom left.

After color swap and 180 rotation: large top left, medium bottom right, small bottom center, small top right, ring center.

In (E): large top right, medium bottom left, small bottom center, small top left, ring center.

So the difference is that the large and medium are swapped in position, and the small dots are swapped in position.

But since the small dots are the same size, perhaps they are indistinguishable, so the image has a large dot at top left, a medium dot at bottom right, a small dot at bottom center, a small dot at top right, and ring at center.

In (E), it has a large at top right, a medium at bottom left, a small at bottom center, a small at top left, and ring at center.

So if we ignore the specific positions of the small dots, the large and medium are at opposite corners, but in different orientations.

Perhaps for the puzzle, (E) is the intended answer, and the ring is at center.

Maybe in the original, the ring is at center, so after rotation, it is.

I think I should go with (E) as the closest match.

Perhaps "turned" means flipped vertically.

After color swap: large bottom right, medium top left, small top center, small bottom left, ring center-left.

After vertical flip: large at top right (bottom to top), medium at bottom left (top to bottom), small at bottom center (top center to bottom center), small at top left (bottom left to top left), ring at center-left (same position).

So large at top right, medium at bottom left, small at bottom center, small at top left, ring at center-left.

This is exactly as in (E), but in (E) the ring is at center, not center-left.

But in the image, for (E), the ring is at the center, so it might be considered the same.

Perhaps in the vertical flip, if the ring is not on the axis, it moves, but in this case, for a ring at center-left, vertical flip keeps it at center-left if the center is the same.

But in terms of visual, it might look like center if not paying attention.

I think for the purpose of this puzzle, (E) is the answer.

Perhaps the ring is always at center for simplicity.

So I'll go with (E).

But let's check the other option.

(C) has the medium dot at bottom right, which in our case is at bottom right for medium after rotation, but in (C) it's at bottom right with large at bottom left, but we have large at top left.

Not.

So (E) seems the best match.

So the answer should be (E).