Select the figure from the given options that can replace the question mark (?) in the following series.
Correct Answer :
Solution :
To find the correct figure that replaces the question mark (?) in the series, we can analyze the movement of the outer frames, the inner symbols, and the bottom elements step-by-step:
1. Movement of the Outer Frames (Top-Left, Top-Right, Center):
Let us trace the positions of the three frames (Square, Oval, and Hexagon) across the steps:
- Square: Starts at Top-Left (Step 1) ⇒ moves to Top-Right (Step 2) ⇒ moves to Center (Step 3) ⇒ returns to Top-Left (Step 4).
- Oval: Starts at Top-Right (Step 1) ⇒ moves to Center (Step 2) ⇒ moves to Top-Left (Step 3) ⇒ returns to Top-Right (Step 4).
- Hexagon: Starts at Center (Step 1) ⇒ moves to Top-Left (Step 2) ⇒ moves to Top-Right (Step 3) ⇒ returns to Center (Step 4).
Thus, the frames cycle through the three positions with a period of 3. In the fourth step, the frame positions must be: Top-Left = Square, Top-Right = Oval, Center = Hexagon.
2. Inner Symbols (Inside the Frames):
The pattern of the symbols inside the top frames also follows a periodic rotation of 3 steps. Thus, in the fourth step, the symbols return to their initial configurations relative to the frames:
- The right-angled triangle pointing bottom-right is inside the Square (at the Top-Left).
- The triangle pointing upwards is inside the Oval (at the Top-Right).
- The arrow pointing to the right is inside the Hexagon (at the Center).
3. Movement of the Bottom Elements (Bottom-Left, Bottom-Right):
The two elements at the bottom (concentric circles and the solid black rectangle) alternate positions in each step:
- Step 1: Concentric circles (Bottom-Left), Solid rectangle (Bottom-Right)
- Step 2: Solid rectangle (Bottom-Left), Concentric circles (Bottom-Right)
- Step 3: Concentric circles (Bottom-Left), Solid rectangle (Bottom-Right)
- Step 4: Solid rectangle (Bottom-Left), Concentric circles (Bottom-Right)
Combining these observations, the correct figure must have a square containing a bottom-right triangle at the top-left, an oval containing an upward triangle at the top-right, a hexagon containing a right arrow in the center, a solid rectangle at the bottom-left, and concentric circles at the bottom-right. This matches the layout of Option 1.
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