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All 59 people are standing in a row facing North. Mahesh is 20th from the right end, while Kailash is 14th from the left end. How many people are there between Mahesh and Kailash?
24
23
25
26
25
To find the number of people between two individuals in a row, use the formula: Total - (Position from Left + Position from Right). If the sum of positions is less than the total, no overlap exists.
To find the number of people between two individuals in a row, use the formula: Total - (Position from Left + Position from Right). If the sum of positions is less than the total, no overlap exists.
Convert positions to the same reference
Kailash is 14th from the left. Mahesh is 20th from the right. To find the position of Mahesh from the left, use the formula (Total - Position from Right + 1). So, 59 - 20 + 1 = 40th position from the left.
Calculate the gap
We now have Kailash at 14th from the left and Mahesh at 40th from the left. The number of people between them is (Difference in positions - 1), which is (40 - 14) - 1 = 26 - 1 = 25.
A: 24 is incorrect as it ignores the inclusive count between positions; B: 23 is incorrect as it assumes a different seating configuration; D: 26 is the difference between positions but fails to account for the gap excluding the endpoints.
C is correct because the gap between the 14th and 40th person is calculated as 40 - 14 - 1 = 25.
When calculating gaps, always ensure you identify if the positions overlap or not. Since 14 + 20 = 34 which is less than 59, the arrangement is a simple linear gap without overlap.
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