In a class of 20 students, Shreya is 5th from the top and Annie is 7 ranks…
2023
In a class of 20 students, Shreya is 5th from the top and Annie is 7 ranks below Shreya. Find Annie's rank from the bottom.
- A.
3
- B.
6
- C.
9
- D.
None of these
Attempted by 1 students.
Show answer & explanation
Correct answer: C
Concept: For a group of n people arranged in a single order, if a person's rank counted from one end is r, their rank counted from the other end is n − r + 1. When someone is a given number of ranks below a reference position, that difference is added to the reference rank (moving further from the top), not subtracted.
Application:
Shreya's rank from the top is 5.
Annie is 7 ranks below Shreya, so Annie's rank from the top = 5 + 7 = 12.
The class has 20 students in total, so n = 20.
Apply the end-conversion formula: rank from the bottom = n − rank from top + 1 = 20 − 12 + 1 = 9.
Cross-check: Counting from the bottom directly — if Annie is 12th from the top among 20 students, exactly 20 − 12 = 8 students are ranked below her, so her own rank from the bottom is 8 + 1 = 9, confirming the result.