Raju ranks $10^{\text{th}}$ from the top and Ravi ranks $32^{\text{th}}$ from the bottom in a class. If Ravi is $3$ positions above Raju, how many students are there in the class?

Raju's rank from the top = $10^{\text{th}}$
Ravi is $3$ positions above Raju (towards the top).
So, Ravi's rank from the top = $10-3=7^{\text{th}}$
Ravi's rank from the bottom = $32^{\text{th}}$

Using the total number of students formula:

$$\text{Total}=\text{Rank from Top}+\text{Rank from Bottom}-1$$

$$\text{Total}=7+32-1=38$$

Therefore, there are $38$ students in the class.