Vikranth is thirty-second from top in a class of 65 students. What is his rank from the bottom?

The total number of students in a ranking configuration is given by the formula:
$$\text{Total}=\text{Rank from Top}+\text{Rank from Bottom}-1$$

Given:

* $\text{Total}=65$
* $\text{Rank from Top}=32$

Substitute these values into the formula:

$$65=32+\text{Rank from Bottom}-1$$

$$65=31+\text{Rank from Bottom}$$

$$\text{Rank from Bottom}=65-31=34$$

Vikranth's rank from the bottom is $34\text{th}$.