Question 45

Ajay: "Prajita occupies $$7^{th}$$ position from the top in Economics test in our class"
Raju: "Yes, you are correct and Prajita also occupies 35th position from the bottom in the same test"
Ajay and Raju study in the same class with Prajita and "N" others. Find the total number of students in the class, other than Prajita, Raju and Ajay.

Solution

Let there be a total of n students in the class including Prajita, Raju and Ajay.

For student ranked $$1^{st}$$, his rank from bottom = n; Sum of his ranks from top as well as bottom = n+1

For student ranked $$2^{nd}$$, his rank from bottom = n-1; Sum of his ranks from top as well as bottom = n+1

Similarly for Parajit; 7+ 35 = n+1 or n = 41

The total number of students in the class, other than Prajita, Raju and Ajay are 38


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