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IKMC 2027 - Grades 11-12 - Self-study SET 2 - Thematic Batch 3 Question 21

IKMC · IKMC 2027 - Grades 11-12 - Self-study SET 2 - Thematic Batch 3

Question 21

With his older brother’s guidance, Alex studies chicken reproduction. He first buys one hen. Once it lays ten eggs, he sells it and uses an industrial heater to hatch the eggs. When the ten chicks grow up, he sells the roosters and keeps the hens. Each hen is sold immediately after laying ten eggs. This selection process continues, with every hen producing ten eggs that hatch into ten chicks. Eventually all remaining eggs hatch into roosters and all hens have been sold. Exactly 1000 roosters were born. How many hens were born during the experiment?

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  1. 9
  2. 10
  3. 99
  4. 110
  5. 120