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IMSO 2024 Mathematics — International Short Answer Question 9

IMSO Science · IMSO 2024 Mathematics — International Short Answer

Question 9

Fifty students take a test with four questions. The numbers of students who correctly answer the questions are given in the following table:

| Question | Number of students |
|---|---|
| Q1 | 48 |
| Q2 | 42 |
| Q3 | 45 |
| Q4 | 15 |

If no student can solve all questions, what is the largest possible number of students who solve both Q3 and Q4 correctly?