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IMAS 2022–2023 — Junior Division — Round 2 Question 5

IMAS · IMAS 2022–2023 — Junior Division — Round 2

Question 5

In a certain class, more than 40%, but less than 45% of the students are girls. If one of the boys decided to leave the class, the percentage of girls would still be under 45%, but if a new girl joined the class, the percentage of girls would be higher than 45%. What is the smallest possible number of students in the class?
  1. $10$
  2. $20$
  3. $30$
  4. $40$
  5. $50$