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In a row of 40 students standing facing North, Amit is 14th from the left end and Rohit is 23rd from the right end. How many students are sitting between Amit and Rohit?
2
3
4
5
3
When the sum of the positions (from left and right) is less than the total number of students, the number of students between them is calculated as: Total - (Position1 + Position2).
When the sum of the positions (from left and right) is less than the total number of students, the number of students between them is calculated as: Total - (Position1 + Position2).
Convert right position to left position
Amit is 14th from the left. Rohit is 23rd from the right. In a row of 40, Rohit's position from the left is (Total - Right Position + 1) = (40 - 23 + 1) = 18th from the left.
Calculate the difference
The number of students between Amit (14th) and Rohit (18th) is found by subtracting their positions and subtracting 1: (18 - 14 - 1) = 3.
A: 2 is incorrect as it results from miscalculating the difference by ignoring the gap. C: 4 is incorrect as it fails to account for the inclusive range. D: 5 is incorrect as it includes one of the subjects in the count.
B is correct because subtracting the sum of positions from the total row size (40 - 14 - 23) gives the count of students between them, which is 3.
Always convert positions to the same reference end (left-to-left or right-to-right) before calculating the difference to avoid common off-by-one errors.
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