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Manju ranked 17th from the bottom and 8th from the top in his class. How many students are there in his class?
25
24
23
22
24
To find the total number of students when a person's rank from both ends is given, use the formula: Total = (Rank from top + Rank from bottom) - 1.
To find the total number of students when a person's rank from both ends is given, use the formula: Total = (Rank from top + Rank from bottom) - 1.
Identify Given Data
Manju's rank from the top = 8. Manju's rank from the bottom = 17.
Apply Ranking Formula
The total number of students is calculated by adding the two ranks and subtracting 1 (because Manju is counted twice, once from the top and once from the bottom). Total = 8 + 17 - 1 = 25 - 1 = 24.
A: 25 is incorrect because it fails to account for the overlapping count of the student. C: 23 is incorrect as it results from subtracting both ranks instead of following the standard n+m-1 formula. D: 22 is mathematically inconsistent with the provided ranking data.
B is correct because applying the standard ranking formula (Top + Bottom - 1) gives 8 + 17 - 1 = 24 students in the class.
In ranking questions, always remember that an individual occupies a single position, so adding positions from opposite ends will always count that person twice; subtracting 1 is mandatory to correct the double-count.
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