Anil and Sunil are ranked seventh and eleventh respectively from the top in a…
2022
Anil and Sunil 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. 25th and 21st — ConceptIn a single ranking where everyone has a distinct position, the rank from the top and the rank from the bottom are linked by one identity: rank from…
- A.
20th and 20th
- B.
24th and 20th
- C.
25th and 21st
- D.
26th and 22nd
Show answer & explanation
Correct answer: C
Concept
In a single ranking where everyone has a distinct position, the rank from the top and the rank from the bottom are linked by one identity: rank from top + rank from bottom = total number of people + 1. Rearranged, rank from bottom = (Total + 1) - rank from top. The '+1' appears because the person themself is counted once in each direction.
Application
Total number of students = 31, so Total + 1 = 32.
Anil is 7th from the top, so his rank from the bottom = 32 - 7 = 25th.
Sunil is 11th from the top, so his rank from the bottom = 32 - 11 = 21st.
Cross-check
Verify Anil: counting from the top he occupies position 7, and counting from the bottom position 25; 7 + 25 = 32 = 31 + 1, which matches the total-plus-one identity. The same holds for Sunil: 11 + 21 = 32. Hence their ranks from the bottom are 25th and 21st respectively.