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All 37 people are standing in a row, facing north. Arihant is 14th from the right end while Chery is 21st from the left end. How many people are there between Arihant and Chery?
5
2
3
6
2
To find the number of people between two individuals in a row, use the formula: Total - (Position of Person 1 from left + Position of Person 2 from right).
To find the number of people between two individuals in a row, use the formula: Total - (Position of Person 1 from left + Position of Person 2 from right).
Convert right-end position to left-end position
Arihant is 14th from the right in a row of 37 people. His position from the left = (Total + 1) - Position from right = (37 + 1) - 14 = 24th from the left.
Calculate people between
Chery is 21st from the left and Arihant is 24th from the left. The number of people between them = (Difference in positions) - 1 = (24 - 21) - 1 = 3 - 1 = 2.
A: 5 is incorrect as it results from a simple subtraction without accounting for the non-inclusive nature of 'between'. C: 3 is incorrect as it fails to subtract the extra 1 for the gap calculation. D: 6 is incorrect and is a common calculation error.
B is correct because the number of people between two positions x and y in a row is determined by calculating the absolute difference between their positions from the same end and subtracting 1; here (24-21)-1 equals 2.
When given positions from different ends, always convert both to the same end (either both left or both right) before performing subtraction to avoid off-by-one errors.
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