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Let's solve this IQ Test: Figure Completion puzzle step by step.

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🔍 Step 1: Understand the Pattern

We are given a 3x3 grid of figures, with the top two rows showing patterns and the third row having three options (A, B, C) to complete the sequence. The goal is to determine which figure completes the pattern logically.

Each figure consists of:
- A central small triangle.
- Several curved segments (like arcs or "pie slices") arranged in concentric rings around the center.
- The segments are colored in pink/purple, and their positions vary.

Let’s analyze the structure:

#### First Row:
- Figure 1: Three outer arcs (top-left, bottom-left, bottom-right), one inner arc (top-right).
- Figure 2: Two outer arcs (top-left, bottom-right), one inner arc (bottom-left), and one very small arc near the center.
- Figure 3: Combines elements from first two — appears to be a combination or transformation.

Wait — actually, let’s reframe: this looks like a sequence of transformations across the rows.

But more likely, it's a pattern across columns.

Let’s look at the columns instead.

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🧩 Analyze Column-wise

Let’s label the figures:

```
Row 1: F1 F2 F3
Row 2: F4 F5 ?
Row 3: A B C
```

We need to find the missing figure in the third column, second row, such that the column pattern is preserved.

So focus on Column 3:
- Top: F3 (first row, third column)
- Middle: ? (second row, third column)
- Bottom: Options A, B, C (but only one fits)

But wait — actually, the third row contains the answer choices (A, B, C), so the missing figure is in the second row, third column.

So we have:

| Col 1 | Col 2 | Col 3 |
|-------|-------|-------|
| F1 | F2 | F3 |
| F4 | F5 | ? |
| A | B | C |

But looking at the layout:
- The first two rows show two figures, then a third that seems to be a result.
- Then the third row has three answer choices.

Wait — perhaps it's row-based?

Let’s reconsider.

Actually, the layout is:

- Top row: Three figures → possibly a pattern or transformation
- Middle row: Two figures, then a question mark → we need to find the third
- Bottom row: Answer choices labeled A, B, C

But the middle row has:
- First: purple figure (F4)
- Second: another purple figure (F5)
- Third: ?

And the answer choices are below.

So likely, the pattern is in the middle row, and we're to find the third figure based on the first two.

Alternatively, could it be column-based? Let’s check.

Wait — maybe it's each row is a sequence of three figures, where the third is derived from the first two.

That makes sense.

So:
- Row 1: F1 + F2 → F3
- Row 2: F4 + F5 → ?
- Row 3: A + B → C (but that’s not helpful unless we’re comparing)

But no — Row 3 has only A, B, C as answer choices for the missing figure in Row 2, Column 3.

So the correct interpretation is:

> Each row shows a transformation: the third figure is a combination or transformation of the first two.

So:
- In Row 1: Figure 1 + Figure 2 → Figure 3
- In Row 2: Figure 4 + Figure 5 → ???
- We must choose the correct option (A, B, or C) to complete Row 2.

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✔ Step 2: Analyze Row 1 – What is the rule?

Let’s examine Row 1:

- Figure 1 (left):
- Outer ring: 3 arcs (top-left, bottom-left, bottom-right)
- Inner ring: 1 arc (top-right)
- Center: small triangle pointing up

- Figure 2 (middle):
- Outer ring: 2 arcs (top-left, bottom-right)
- Inner ring: 1 arc (bottom-left)
- Also has a small arc near center (maybe same as center triangle?)

Wait — actually, all figures have a small central triangle.

Let’s ignore color differences (all are pink/magenta), and focus on position and rotation.

But notice: Figure 3 (rightmost in Row 1) looks like a combination of the other two.

Let’s try to see if there's a rotation or superimposition.

Alternatively, think about which parts are present.

Let’s define the positions of arcs.

Assume the circle is divided into 8 segments (like a clock), but simplified.

But better: observe symmetry.

Look at Figure 3 in Row 1:
- It has:
- Outer ring: top-left, bottom-left, bottom-right → same as Figure 1
- But also has top-right arc in outer ring?
- Wait — no: Figure 3 has:
- Outer: top-left, bottom-left, bottom-right, and top-right? No — it has only three outer arcs.

Wait — let’s count:

- Figure 1:
- Outer: 3 arcs (top-left, bottom-left, bottom-right)
- Inner: 1 arc (top-right)
- Center: triangle

- Figure 2:
- Outer: 2 arcs (top-left, bottom-right)
- Inner: 1 arc (bottom-left)
- And a small arc near center (maybe part of inner ring)

- Figure 3:
- Outer: top-left, bottom-left, bottom-right → same as Figure 1
- Inner: top-right, bottom-left → both from Figure 1 and Figure 2
- So: outer arcs from Figure 1, inner arcs from both Figure 1 and Figure 2

Wait — Figure 3 has:
- Outer: top-left, bottom-left, bottom-right → same as Figure 1
- Inner: top-right (from F1) and bottom-left (from F2)
- So: outer = F1, inner = union of F1 and F2 inner arcs

Yes!

So Rule:
> The outer ring comes from the first figure, and the inner ring is the union of inner arcs from both first and second figures.

Let’s test this.

🔁 Apply Rule to Row 1:

- Outer ring: from F1 → top-left, bottom-left, bottom-right → ✔ matches F3
- Inner ring: F1 has top-right; F2 has bottom-left → F3 has both → ✔

Perfect.

Now apply to Row 2:

- Figure 4 (left):
- Outer: top-left, bottom-left
- Inner: top-right, bottom-right
- Center triangle

- Figure 5 (middle):
- Outer: top-right, bottom-right
- Inner: top-left, bottom-left
- Center triangle

Now, according to the rule:

> Result should have:
- Outer ring: from Figure 4 → top-left, bottom-left
- Inner ring: union of inner arcs from F4 and F5 →
- F4 inner: top-right, bottom-right
- F5 inner: top-left, bottom-left
- Union: all four directions → full inner ring

So result should have:
- Outer: top-left, bottom-left
- Inner: top-left, top-right, bottom-left, bottom-right → full inner ring

Now check options:

Option A:

- Outer: top-left, bottom-left, bottom-right → has extra bottom-right
- Inner: top-right, bottom-right, bottom-left → missing top-left → ✘

Option B:

- Outer: top-left, bottom-left → ✔
- Inner: top-left, top-right, bottom-left, bottom-right → ✔ (full inner ring)
- Looks perfect!

Option C:

- Outer: top-left, bottom-left, top-right → has top-right → not from F4 → ✘
- Inner: top-right, bottom-right, bottom-left → missing top-left → ✘

So only Option B matches:
- Outer: only top-left and bottom-left (from F4)
- Inner: all four quadrants (union of F4 and F5)

✔ Correct Answer: B

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✔ Final Answer: B

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📌 Explanation Summary:

The pattern is:
- In each row, the third figure combines:
- Outer arcs from the first figure
- Inner arcs from the union of inner arcs of the first and second figures.

Applying this to Row 2:
- First figure (F4): outer = top-left, bottom-left
- Second figure (F5): inner = top-left, bottom-left
- First figure (F4): inner = top-right, bottom-right
- So combined inner = all four directions
- Result: outer = top-left, bottom-left; inner = full ring → Option B

✔️ Therefore, the correct answer is B.