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Vaibhav ranked 7th from the top and 32nd from the bottom in his class. How many students are there in the class?
36
38
39
37
38
Total students = (Rank from top + Rank from bottom) - 1. Just add the two positions and subtract 1 because the person is counted twice.
Total students = (Rank from top + Rank from bottom) - 1. Just add the two positions and subtract 1 because the person is counted twice.
Identify Position Data
Vaibhav's rank from the top is 7. His rank from the bottom is 32.
Apply Ranking Formula
To find the total number of students when one person's position is known from both ends, use the formula: Total = (Rank from Top + Rank from Bottom) - 1.
Perform Calculation
Total = (7 + 32) - 1 = 39 - 1 = 38 students.
A: 36 is incorrect as it results from subtracting incorrectly; C: 39 is the sum without removing the double-counted person; D: 37 is the result of subtracting only once from the top rank.
B is correct because the total number of students is calculated by adding the two ranks (7 + 32 = 39) and subtracting 1 to account for the fact that Vaibhav is counted in both rankings.
In any linear arrangement question, if a position is given from both ends, always subtract 1, as that specific individual serves as the pivot point and is counted twice.
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