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In a queue, Priya is 7th from the front and 10th from the back. How many people are in the queue?
16
17
18
15
16
Add the position from the front and the position from the back, then subtract 1 because the person is counted twice.
Add the position from the front and the position from the back, then subtract 1 because the person is counted twice.
Identify Given Positions
Priya's position from the front is 7th, and her position from the back is 10th.
Apply Ranking Formula
Use the standard formula for linear queue arrangements: Total = (Position from Front + Position from Back) - 1.
Calculate Total
Add 7 and 10 to get 17, then subtract 1 (since Priya is counted from both directions) to get 16 people.
B: 17 is incorrect because it fails to subtract 1 for double-counting; C: 18 and D: 15 result from incorrect arithmetic.
A is correct because the total number of people in the queue is calculated as 7 + 10 - 1 = 16.
Always subtract 1 in single-person ranking problems because the individual's position is included in both the front and back counts.
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