Gourav ranks eighteenth in a class. What is his rank from the last? I. There…
2025
Gourav ranks eighteenth in a class. What is his rank from the last?
I. There are 47 students in the class.
II. Jatin who ranks 10th in the same class, ranks 38th from the last.
- A.
The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question
- B.
The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question
- C.
If the data in either in statement I alone or in statement II alone is sufficient to answer the question
- D.
If the data in both the statements I and II together is not sufficient to answer the question
Show answer & explanation
Correct answer: C
In a data-sufficiency ranking question, if a person's rank from the top is known, the rank from the last equals Total students − Rank from top + 1. So the question can be answered as soon as the total number of students in the class is known — from either statement, independently.
Gourav's rank from the top is given as 18. Statement I directly states the class has 47 students, so his rank from the last = 47 − 18 + 1 = 30. Statement I alone is sufficient.
For Jatin, rank from the top = 10 and rank from the last = 38. Total students = rank from top + rank from last − 1 = 10 + 38 − 1 = 47.
This is the same total (47) that Statement I gives, so Gourav's rank from the last can again be found: 47 − 18 + 1 = 30. Statement II alone is sufficient.
Since each statement, taken alone, fixes the class size to the same value (47) and neither needs the other, the correct sufficiency verdict is that either statement I alone or statement II alone answers the question.