Select the figure that will come in place of the question mark (?) in the following figure series.
Correct Answer :
Solution :
To find the correct figure that replaces the question mark (?), we can analyze the two main components of the series: the central star and the letters in the corners.
1. Analysis of the Central Star Shape:
- Number of points: The number of points on the star increases by 1 in each step of the series:
- Box 1: 4-pointed star
- Box 2: 5-pointed star
- Box 3: 6-pointed star
- Box 4: 7-pointed star
- Box 5 (?): Must contain an 8-pointed star.
- Shading: The shading of the star alternates between filled (black) and empty (white):
- Box 1: Filled (Black)
- Box 2: Empty (White)
- Box 3: Filled (Black)
- Box 4: Empty (White)
- Box 5 (?): Must be Filled (Black).
2. Analysis of the Letters in the Corners:
In each transition, one letter from the previous box is retained and moves to a new position, while a new letter is introduced in alphabetical order.
- Movement of the retained letter:
- From Box 1 to Box 2: The letter 'B' moves from the bottom-right corner to the top-right corner (shifts UP).
- From Box 2 to Box 3: The letter 'C' moves from the bottom-left corner to the bottom-right corner (shifts RIGHT).
- From Box 3 to Box 4: The letter 'D' moves from the top-left corner to the bottom-left corner (shifts DOWN).
- From Box 4 to Box 5: Following the counter-clockwise directional cycle (UP → RIGHT → DOWN → LEFT), the letter 'E' must move from the top-right corner to the top-left corner (shifts LEFT).
- Placement of the new letter:
- In Box 2, the new letter 'C' is introduced at the bottom-left corner.
- In Box 3, the new letter 'D' is introduced at the top-left corner.
- In Box 4, the new letter 'E' is introduced at the top-right corner.
- Following the clockwise rotation of the entry positions (bottom-left → top-left → top-right → bottom-right), the next alphabetical letter 'F' must be introduced at the bottom-right corner in Box 5.
Thus, the final figure must have:
- The letter 'E' in the top-left corner.
- The letter 'F' in the bottom-right corner.
- A filled (black) 8-pointed star in the center.
This corresponds exactly to the figure in Option 4.
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