Identify the option figure that when put in place of the question mark (?) will logically complete the series.
Correct Answer :
Solution :
To determine the next figure in the series, we observe the pattern of movement of the shapes across the corners of the box:
Let the positions of the shapes in the outer corners be defined as:
- TL: Top-Left
- TR: Top-Right
- BL: Bottom-Left
- BR: Bottom-Right
The center shape (Diamond) remains fixed throughout the series.
Now, let's analyze the transitions between consecutive boxes:
1. From Box 1 to Box 2: The shapes in the top positions (TL and TR) swap places (Star and Pentagon swap, while Triangle and Oval remain in their positions).
2. From Box 2 to Box 3: The shapes in the left positions (TL and BL) swap places (Pentagon and Triangle swap, while Star and Oval remain in their positions).
3. From Box 3 to Box 4: The shapes in the bottom positions (BL and BR) swap places (Pentagon and Oval swap, while Triangle and Star remain in their positions).
Following this clockwise sequence of edge swaps:
Top Edge Swap ⇒ Left Edge Swap ⇒ Bottom Edge Swap ⇒ Right Edge Swap
The next transition (from Box 4 to Box 5) must involve swapping the shapes along the right edge, which are in the TR and BR positions.
In Box 4:
- TR: Star
- BR: Pentagon
- TL: Triangle (remains unchanged)
- BL: Oval (remains unchanged)
Swapping TR and BR gives:
- TR: Pentagon
- BR: Star
- TL: Triangle
- BL: Oval
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