Q. Mr. X ranks eighteenth from the top in a class. What is his rank from the last?

The correct answer is (C) Either Statement (i) or Statement (ii) is sufficient.

Explanation:

To determine Mr. X’s rank from the last in his class, let’s analyze the information provided by each statement individually.

Given:
– Mr. X’s rank from the top: 18th
– Total number of students in the class: N (unknown)
– Mr. X’s rank from the last: N – 18 + 1 = N – 17

We need to find the value of N to determine Mr. X’s rank from the last.

Statement (i): There are 47 students in the class.

– If N = 47, then Mr. X’s rank from the last is:
47 – 17 = 30
– Conclusion: This statement directly provides the total number of students, allowing us to determine Mr. X’s rank from the last.

Statement (ii): Mr. Y ranks 10th from the top and 38th from the last.

– Let’s denote:
– Mr. Y’s rank from the top: 10th
– Mr. Y’s rank from the last: 38th

Using the relationship between ranks:
Total students = Rank from top + Rank from last – 1
N = 10 + 38 – 1 = 47

With N = 47, Mr. X’s rank from the last is:
47 – 17 = 30

Conclusion: This statement also allows us to determine the total number of students, thereby finding Mr. X’s rank from the last.

Final Analysis:
– Statement (i) alone is sufficient.
– Statement (ii) alone is also sufficient.
– Therefore, either statement alone provides enough information to answer the question.

Answer: (C) Either Statement (i) or Statement (ii) is sufficient