Karuna is sitting 25th from the left end and Preeti is sitting 26th from the…
2024
Karuna is sitting 25th from the left end and Preeti is sitting 26th from the right end. Preeti is at 20th to the left of Karuna. What is the total number of students sitting in the row?
- A.
21
- B.
32
- C.
26
- D.
30
Show answer & explanation
Correct answer: D
When people stand in a single row, a person's position counted from the left end plus their position counted from the right end accounts for everyone exactly once, except that person, who gets counted twice — so (position from left) + (position from right) − 1 = total number of people in the row. Also, if a person X sits n positions to the left of person Y, X's position from the left end equals Y's position from the left end minus n.
Karuna's position from the left end is 25th.
Preeti sits 20th to the left of Karuna, so Preeti's position from the left end is 25 − 20 = 5th.
Preeti's position from the right end is given as 26th.
Total number of students = (Preeti's position from left) + (Preeti's position from right) − 1 = 5 + 26 − 1 = 30.
Cross-check: Karuna's position from the right end works out to 30 − 25 + 1 = 6th. The gap between Karuna's rank (6th from right) and Preeti's rank (26th from right) is 20, matching the stated 20-position gap between them, confirming the total of 30.