If Akshay is 13th in the queue from either end then, how many people are there…
2020
If Akshay is 13th in the queue from either end then, how many people are there in the queue?
- A.
24
- B.
22
- C.
26
- D.
25
Show answer & explanation
Correct answer: D
When a person's rank is known from both the front and the back of a line, the total number of people in the line equals the sum of the two ranks minus one. This is because that person occupies one shared spot that both counts include, so a plain sum of the two ranks would count that person twice.
Let Akshay's position from the front = 13 and his position from the back = 13, since he is stated to be 13th from either end.
Apply the identity: Total people = (position from front) + (position from back) minus 1.
Substitute the values: Total = 13 + 13 minus 1.
Compute the total: Total = 25.
Cross-check: in a queue of 25 people, if Akshay is 13th counted from the front, his position counted from the back is Total minus (position from front) plus 1, i.e. 25 minus 13 plus 1 = 13, which matches the given condition exactly, confirming the queue has 25 people.
So there are 25 people in the queue.