What is the maximum possible number of students who could have joined the school in 2020?
Explanation:
To maximise the number of students who could have joined the school in 2021, we need to maximise the number of students that exit the school in 2021.
∴ We need to minimise the number of students failing in class 6.
There are 48 students in class 6 in 2021. Out of these 48, maximum 44 could have passed in class 5 and moved to class 6. Hence, minimum 4 students need to fail in class 6.
Now, since all 44 students passed from class 5 to class 6, no student failed in class 5 in 2020.
Now in 2021 all 49 students in class 5 could have come from passing class 4. Hence, out of 59 students in class 4 in 2020, at most 49 passed to next class and hence at least 10 failed and stayed in class 4.
Similarly, we can draw the following chart.
Hence, maximum number of students who could have joined the school in 2021 is 77.
Hence, 77.
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