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NDA 2025 · PYQ · Functional equations · easy

A function f is such that f(xy) = f(x + y) for all real values of x and y, and f(5) = 10. What is f(0) equal to?

  1. A.0
  2. B.1
  3. C.5
  4. D.10✓ Correct

Explanation

Set x = 5, y = 0: f(5·0) = f(5 + 0), so f(0) = f(5) = 10.
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