Meena and Reena are ranked 7th and 11th from the top, respectively, in a class…
2024
Meena and Reena are ranked 7th and 11th from the top, respectively, in a class of 41 students. What are their respective ranks from the bottom?
Answer: D. 35, 31 — ConceptIn a list of N people, the top rank and bottom rank of the same person include that person in both counts. Therefore, top rank + bottom rank = N + 1,…
- A.
36, 32
- B.
35, 33
- C.
33, 35
- D.
35, 31
Show answer & explanation
Correct answer: D
Concept
In a list of N people, the top rank and bottom rank of the same person include that person in both counts.
Therefore, top rank + bottom rank = N + 1, or bottom rank = N - top rank + 1.
Application
Here N = 41.
For Meena, bottom rank = 41 - 7 + 1 = 35.
For Reena, bottom rank = 41 - 11 + 1 = 31.
Cross-check
For each person, top rank + bottom rank must equal 42. Meena: 7 + 35 = 42; Reena: 11 + 31 = 42.
Result
Their respective ranks from the bottom are 35 and 31.