Keerthi ranked 17 th from the top in a class of thirty-one students. What is his rank from the bottom?
15
This question asks us to find Keerthi's rank from the bottom of the class, given his rank from the top and the total number of students in the class.
We can solve this type of ranking problem using a simple formula that relates the rank from one end, the rank from the other end, and the total number of items (students in this case).
The formula to find the rank from the opposite end of a list when you know the rank from one end and the total number of items is:
\[ \text{Rank from bottom} = \text{Total number of students} - \text{Rank from top} + 1 \]
Let's apply the formula using the information given in the question:
Now, substitute these values into the formula:
\[ \text{Keerthi's rank from bottom} = 31 - 17 + 1 \]
First, calculate the difference between the total number of students and Keerthi's rank from the top:
\[ 31 - 17 = 14 \]
This value (14) represents the number of students ranked below Keerthi. To find Keerthi's rank from the bottom, we need to add 1 to this number because Keerthi himself is the next position after these 14 students.
\[ \text{Keerthi's rank from bottom} = 14 + 1 \]
\[ \text{Keerthi's rank from bottom} = 15 \]
Based on the calculation, Keerthi's rank from the bottom of the class is 15.
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