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BEBRAS 2025 Grade 7-8 Round 2 Ext Question 6

BEBRAS · BEBRAS 2025 Grade 7-8 Round 2 Ext

Question 6

A beaver uses this decision chart to test whether a number is beautiful. The tests ask divisibility by 4, then by 100, then by 400. A failed first test is not beautiful; passing 4 but failing 100 is beautiful; passing 100 is beautiful only if 400 also divides it.

Question illustration

For example 83 is not beautiful because 4 does not divide it. How many of 1900,2000,2024,2025,2200 are beautiful?
  1. 3
  2. 1
  3. 4
  4. 2