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NDA 2026 · PYQ · Combinatorics / Geometry · easy

What is the maximum number of points of intersection of 5 circles?

  1. A.10
  2. B.15
  3. C.20✓ Correct
  4. D.25

Explanation

Two circles can intersect in at most 2 points. With 5 circles, the number of pairs is C(5,2) = 10, and each pair contributes at most 2 intersection points. Hence maximum number of intersection points = 10 × 2 = 20.
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