Shubham is ranked 15th from the top and 57th from the bottom in his class. How…
2026
Shubham is ranked 15th from the top and 57th from the bottom in his class. How many students are there in his class?
Answer: A. 71 — ConceptWhen one person is counted in ranks from both ends, that person appears in both rank counts. Therefore, total members = rank from the top + rank from…
- A.
71
- B.
72
- C.
70
- D.
73
Attempted by 116 students.
Show answer & explanation
Correct answer: A
Concept
When one person is counted in ranks from both ends, that person appears in both rank counts.
Therefore, total members = rank from the top + rank from the bottom − 1.
Application
Let N be the total number of students.
Substitute the two ranks: N = 15 + 57 − 1.
Compute the sum and remove the double count: N = 72 − 1 = 71.
Cross-check
With 71 students, the bottom rank corresponding to 15th from the top is 71 − 15 + 1 = 57, which matches the given rank.
Thus, the class has 71 students.