In a row of 10 people, M is 5th from the left end and O is 3rd from the right…
2023
In a row of 10 people, M is 5th from the left end and O is 3rd from the right end. How many persons are there between M and O?
- A.
2
- B.
3
- C.
1
- D.
None
Show answer & explanation
Correct answer: A
For a single row of n people, a person's position counted from the left end and that same person's position counted from the right end always satisfy: (position from left) + (position from right) = n + 1. The number of people seated strictly between two people whose positions (from the same end) are known equals the difference between the larger and smaller position, minus 1 -- the two boundary people themselves are never counted as being "between".
The row has n = 10 people in total. M's position from the left end is 5.
O's position from the right end is 3, so O's position from the left end = 10 + 1 - 3 = 8.
The number of people strictly between position 5 and position 8 = 8 - 5 - 1 = 2.
Laying the row out explicitly as _ _ _ _ M _ _ O _ _ (seats 1 to 10) confirms M at seat 5 and O at seat 8, with exactly two people -- at seats 6 and 7 -- sitting between them.