Question

In a class among the passed students Amisha is twenty-second from the top and Sajal who is 5 ranks below Amisha is thirty-fourth from the bottom All the students from the class 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?

A. 60
B. 75
C. 90
D. Data inadequate

Answer 1

By analyzing the ranks of the passed students and considering the pass-fail ratio, we determine there are 75 students in total in the class.

Step-by-step explanation:

The question is asking us to find out the total number of students in the class, given certain information about the ranking of passed students and the pass-fail ratio. Amisha is twenty-second from the top among passed students, and Sajal is 5 ranks below Amisha, placing him at twenty-seventh. Since Sajal is thirty-fourth from the bottom, there must be 33 students below him. To find the total number of students, we add the ranks from the top and bottom, and subtract 1, because we have counted the same person (Sajal) twice. So, we have 27 from the top (including Sajal) plus 33 from the bottom (excluding Sajal), which equals 60 students that passed.

Now, if the ratio of students who passed to those who failed is 4:1, we can find the number of failed students by dividing the number of passed students by 4, which gives us 15 failed students. Adding the passed and failed students provides the total number of students in the class: 60 passed + 15 failed = 75 students in total.