Discussion
Manoj and Sachin are ranked seventh and eleventh respectively from the top in a class of 31 students. What will be their respective ranks from the bottom in the class?
Answer: C
Correct answer: 25th and 21st
In a class of 31, a rank of \( r \) from the top is \( 31 - r + 1 \) from the bottom. So Manoj, 7th from the top, is \( 31-7+1 = \mathbf{25} \)th, and Sachin, 11th, is \( 31-11+1 = \mathbf{21} \)st.
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