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SSC CHSL 2025 · PYQ · Geometry (Similarity) · medium

A triangular-shaped park and a model of the park are similar. The ratio of their corresponding side lengths is 1:200. If a path in the parks is 100 meters long, what's the length of the corresponding path in the model?

  1. A.15 cm
  2. B.43 cm
  3. C.29 cm
  4. D.50 cm✓ Correct

Explanation

The scale ratio is 1:200, meaning 1 cm in model = 200 cm in real. 100 meters = 10,000 cm in real. Model length = 10,000/200 = 50 cm.
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