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All 36 people are standing in a row, facing north. Aman is 11th from the left end, while Pratha is 12th from the right end. How many people are there between Aman and Pratha?
18
15
10
13
13
Total people = Position from left + Position from right + People between. If Total > (Left + Right), then People between = Total - (Left + Right).
Total people = Position from left + Position from right + People between. If Total > (Left + Right), then People between = Total - (Left + Right).
Identify given parameters
Total number of people in the row = 36. Aman is 11th from the left end. Pratha is 12th from the right end.
Calculate sum of occupied positions
Add Aman's position from the left and Pratha's position from the right: 11 + 12 = 23.
Find number of people between them
Subtract the sum of positions from the total number of people: 36 - 23 = 13 people.
A: 18 is incorrect as it results from incorrect arithmetic. B: 15 is incorrect and does not match the remainder. C: 10 is incorrect and underestimates the gap.
D is correct because subtracting Aman's rank from the left (11) and Pratha's rank from the right (12) from the total people (36) yields 36 - 23 = 13 people between them.
In row ranking problems, always check if the sum of positions from both ends is less than the total number of people to ensure no overlapping occurs.
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