Consider the following figures : Which of the following group(s) of fi

Consider the following figures :
Which of the following group(s) of figures fit/fits into the same class ?

  • 1. (1, 7, 8)
  • 2. (4, 5, 6)
  • 3. (2, 3, 9)

Select the correct answer using the code given below :

1 and 2 only
2 and 3
1, 2 and 3
3 only
This question was previously asked in
UPSC CAPF – 2015
The correct answer is C, indicating that groups 1, 2, and 3 fit into the same class based on different classification criteria.
– We need to determine which of the given groups (1, 2, 3) consist of figures belonging to the same class based on some shared property.
– **Group 1: (1, 7, 8)**
– Figure 1: Triangle, single internal line.
– Figure 7: Triangle, multiple radial internal lines from a vertex/near center.
– Figure 8: Circle, multiple radial internal lines from the center.
– One possible classification criterion for this group could be: “Figures which are either a triangle with an internal line originating from a vertex, or a circle with radial lines from the center.” (1 and 7 are triangles with lines from vertex/near center; 8 is a circle with lines from center).
– **Group 2: (4, 5, 6)**
– Figure 4: Triangle, two crossing internal lines dividing into 4 regions.
– Figure 5: Circle, two crossing internal lines dividing into 4 regions.
– Figure 6: Square, two crossing internal lines dividing into 4 regions.
– A clear classification criterion for this group is: “Figures that are divided into four regions by two crossing internal lines.” All figures in Group 2 fit this criterion.
– **Group 3: (2, 3, 9)**
– Figure 2: Circle, single internal line (diameter).
– Figure 3: Square, single internal line (through center).
– Figure 9: Square, multiple radial internal lines from the center.
– One possible classification criterion for this group could be: “Figures which are either a circle with a single line passing through the center, or a square with internal lines passing through or originating from the center.” (2 is a circle with a line through the center; 3 is a square with a line through the center; 9 is a square with lines from the center).
While Group 2 exhibits a very clear and standard classification based on the pattern of internal lines (crossing lines creating 4 regions), the criteria for Groups 1 and 3 are less straightforward and might be based on a combination of shape types and internal line patterns related to the center or vertices. Assuming the provided options are correct and option C implies all three groups represent valid classes, these or similar combination-based rules must be the intended classification criteria, making all three groups fit into ‘the same class’ according to their respective rules.
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