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In a row of people, all facing north, Bunty is 8th from the left end. Sneha is 15th from the left end. Sneha is exactly between Bunty and Nupur. If Nupur is 7th from the right end of the line, how many people are there in the row?
26
28
20
22
28
Calculate Nupur's position from the left end using the midpoint relation between Bunty and Nupur, then subtract from total people or use direct linear index formulas.
Calculate Nupur's position from the left end using the midpoint relation between Bunty and Nupur, then subtract from total people or use direct linear index formulas.
Step 1: Identify Bunty's and Sneha's positions from the left end
Bunty is 8th from the left end (Left index = 8). Sneha is 15th from the left end (Left index = 15).
Step 2: Find Nupur's position from the left end
Since Sneha is exactly between Bunty and Nupur, the distance from Bunty to Sneha equals the distance from Sneha to Nupur. Distance = 15 - 8 = 7 places. Therefore, Nupur's position from the left end = 15 + 7 = 22nd.
Step 3: Calculate the total number of people in the row
Nupur is 22nd from the left end and 7th from the right end. Total people = (Position from left) + (Position from right) - 1 = 22 + 7 - 1 = 28.
A: 26 is incorrect because 22 + 7 - 1 = 28, not 26. C: 20 is too low and ignores the midpoint calculation. D: 22 is only Nupur's position from the left end, not the total row count.
B is correct because Nupur is at the 22nd position from the left and 7th from the right, giving a total of 22 + 7 - 1 = 28 people.
In ranking problems where someone is 'exactly between' two people, use the average or symmetrical distance principle to find unknown positions.
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