In a class, among the passed students Neeta is 22nd from the top and Kalyan, who is 5 ranks below Neeta is 34th from the bottom. All the students from the class have appeared for the exam. If the ratio of the students who passed in the exam to those who failed is 4 : 1 in that class, how many students are there in the class ?
Among the passed students, Neeta's rank from top = 22nd
Kalyan is 5 ranks below Neeta, => Kalyan's rank from top = 22 + 5 = 27th
Also, Kalyan's rank from bottom = 34th
=> Total number of passed students in the class = 34 + 27 - 1 = 60
Ratio between passed and failed students = 4 : 1
$$\therefore$$ Total number of students in the class = $$60 \times \frac{5}{4} = 75$$
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