Step 1: Understanding the ranking system.
The total number of students is 31.
Manoj’s rank from the top is 7th. To find his rank from the bottom, we use the formula:
\[
\text{Rank from bottom} = \text{Total students} - \text{Rank from top} + 1
\]
\[
= 31 - 7 + 1 = 25
\]
So, Manoj’s rank from the bottom is 25th.
Sachin’s rank from the top is 11th. Similarly, we use the formula to find his rank from the bottom:
\[
\text{Rank from bottom} = 31 - 11 + 1 = 21
\]
So, Sachin’s rank from the bottom is 21st.
Step 2: Conclusion.
The correct answer is (3) 25th and 21st.