At a bus stop row, A is 7th from the left and B is 9th from the right. After interchanging their positions, A becomes 11th from the left. How many people are in the row?
Verbal Reasoning
Seating Arrangement
Difficulty: Easy
Choose an option
-
A10
-
B20
-
C19
-
D18
Answer
Correct Answer: 19
Explanation
Introduction / Context:Converting a right-side rank to a left-side position uses N − r + 1. Swapping places means A assumes B’s original position.
Given Data / Assumptions:
- B is 9th from right in a row of N; hence B’s left-rank is N − 9 + 1 = N − 8.
- After the swap, A’s left-rank is 11 (i.e., A occupies B’s former position).
Step-by-Step Solution:
Set N − 8 = 11 ⇒ N = 19.Verification / Alternative check:Check that a 9th-from-right position is indeed 11th from left when N = 19.
Final Answer:19