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Hritik ranked 20th from the bottom and 30th from the top in his class. How many students are there in his class?
45
34
47
49
49
When the rank of a person is given from both top and bottom, Total Students = (Rank from Top) + (Rank from Bottom) - 1. Simply calculate: 30 + 20 - 1 = 49.
When the rank of a person is given from both top and bottom, Total Students = (Rank from Top) + (Rank from Bottom) - 1. Simply calculate: 30 + 20 - 1 = 49.
Identify the Given Ranks
Hritik's rank from the top is 30, which means there are 29 students above him. Hritik's rank from the bottom is 20, which means there are 19 students below him.
Apply the Standard Order & Ranking Formula
Total number of students in a line/class is calculated as: Total = (Rank from Top) + (Rank from Bottom) - 1. We subtract 1 because Hritik is counted in both the top and bottom ranks.
Calculate the Final Count
Total = 30 + 20 - 1 = 50 - 1 = 49. Therefore, there are 49 students in the class.
A: 45 is incorrect because it misses accounting for the correct ranks (30 + 20 = 50, subtract 1 gives 49, not 45). B: 34 is incorrect because it likely results from an incorrect subtraction or misreading of ranks. C: 47 is incorrect because subtracting 3 from 50 is logically wrong; only Hritik is double-counted, so we subtract 1.
D is correct because adding his top rank (30) and bottom rank (20) counts Hritik twice, so subtracting 1 gives the exact total of 49 students.
Whenever the rank of ONE person is given from both extreme ends (Top/Bottom or Left/Right), always use Total = Left + Right - 1. If you need to find the rank of a person from one end when total is given, use Rank = Total - Given Rank + 1.
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