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All 37 people are standing in a row facing North. Arav is 14th from the right end while Varun is 21st from the left end. How many people are there between Arav and Varun?
2
11
6
4
2
To find the number of people between two people in a row: If the sum of their positions from opposite ends is less than the total, the formula is Total - (Sum of positions). Here, 37 - (14 + 21) = 37 - 35 = 2.
To find the number of people between two people in a row: If the sum of their positions from opposite ends is less than the total, the formula is Total - (Sum of positions). Here, 37 - (14 + 21) = 37 - 35 = 2.
Define Parameters
Total number of people = 37. Varun's position from the left = 21. Arav's position from the right = 14.
Calculate Positions
The combined position count of both people is 21 + 14 = 35.
Calculate People Between
Since the sum of positions (35) is less than the total (37), the number of people between them is calculated as: Total - (Sum of positions) = 37 - 35 = 2.
B: 11 is incorrect based on the arithmetic calculation; C: 6 is incorrect; D: 4 is incorrect.
A is correct because when the sum of positions from opposite ends (21 + 14 = 35) is less than the total number of people (37), the number of people between them is exactly 37 - 35 = 2.
Always check if the sum of ranks exceeds the total; if it does, there is an overlap situation (Use: Sum - Total - 2). If it is less, there is a gap (Use: Total - Sum).