Consider the following figures:
In the figures (I) to (VI) above, some parts are shown to change their positions in regular directions. Following the same sequence, which of the figures given below will appear at (VII) stage?
Correct Answer :
Solution :
The correct option is the second figure (Option 2), which displays the square symbol in the top sector and the triangle symbol in the bottom-left sector.
To understand why this is correct, we can analyze the movement of each shape step-by-step across the sequence of circles divided into 6 equal sectors (stages I to VI):
1. Movement of the Square (□):
- In figure (I), the square is in the top sector.
- In figure (II), it moves to the top-right sector.
- In figure (III), it moves to the bottom-right sector.
- In figure (IV), it moves to the bottom sector.
- In figure (V), it moves to the bottom-left sector.
- In figure (VI), it moves to the top-left sector.
- Observing this sequence, the square moves by shifting exactly:
sector in the clockwise direction at each consecutive stage. Following this rule, in stage (VII), the square must move from the top-left sector to the top sector.
2. Movement of the Triangle (△):
- In figure (I), the triangle is in the bottom-left sector.
- In figure (II), it moves to the bottom sector.
- In figure (III), it moves to the bottom-right sector.
- In figure (IV), it moves to the top-right sector.
- In figure (V), it moves to the top sector.
- In figure (VI), it moves to the top-left sector.
- Observing this sequence, the triangle moves by shifting exactly:
sector in the counter-clockwise direction at each consecutive stage. Following this rule, in stage (VII), the triangle must move from the top-left sector to the bottom-left sector.
Conclusion:
By combining the two rules for stage (VII), the square must occupy the top sector and the triangle must occupy the bottom-left sector. This configuration matches the figure represented in Option 2.
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