86 people are standing in a row facing north. Toy is 59th from the right end,…
2025
86 people are standing in a row facing north. Toy is 59th from the right end, while Game is 33rd from the left end. How many people are there between Toy and Game?
- A.
10
- B.
4
- C.
8
- D.
6
Attempted by 2 students.
Show answer & explanation
Correct answer: B
In a row, if a person's position is given from one end, their position from the opposite end is found using: position from the other end = Total people minus given position, plus 1. Once both people's positions are expressed from the SAME end, the number of people strictly between them equals the absolute difference between their positions, minus 1.
Total number of people in the row, T = 86.
Toy's position is given as 59th from the right end. Converting to the left end: position from left = T minus 59, plus 1 = 86 minus 59 plus 1 = 28.
Game's position is already given from the left end: position from left = 33.
With both positions now expressed from the left end, the people standing strictly between the 28th and the 33rd position = 33 minus 28 minus 1 = 4.
As an independent check, convert Game's position to the right end instead: position from right = T minus 33, plus 1 = 86 minus 33 plus 1 = 54. Toy's position from the right end is already given as 59, so the people between them, counted from the right end, = 59 minus 54 minus 1 = 4, the same result, confirming the answer.
Therefore, 4 people stand between Toy and Game.