In a class of 24 students, Kamal ranks eighth from the bottom, while Sonu…
2026
In a class of 24 students, Kamal ranks eighth from the bottom, while Sonu ranks ninth from the top. Pavan is exactly midway between them in the ranking. How many positions below Pavan is Kamal?
Answer: A. 4th — ConceptWhen ranks are given from opposite ends, first convert every rank to the same reference. For n people, top rank = n − bottom rank + 1. A person exactly…
- A.
4th
- B.
10th
- C.
11th
- D.
3rd
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Show answer & explanation
Correct answer: A
Concept
When ranks are given from opposite ends, first convert every rank to the same reference. For n people, top rank = n − bottom rank + 1.
A person exactly midway between ranks a and b has rank (a + b) ÷ 2, and the separation between two people is the absolute difference of their ranks.
Application
Convert Kamal’s rank to a top rank: 24 − 8 + 1 = 17, so Kamal is 17th from the top.
Sonu is already 9th from the top.
Find the midpoint rank: (17 + 9) ÷ 2 = 26 ÷ 2 = 13, so Pavan is 13th from the top.
Compare their ranks: 17 − 13 = 4. Because the larger top-rank number is lower in the class, Kamal is 4 positions below Pavan.
Cross-check
Starting at Pavan’s rank 13 and moving four places downward reaches rank 17. Rank 17 is eighth from the bottom because 24 − 17 + 1 = 8.
Result
Kamal is 4 positions below Pavan.