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In a line of people, if A is at the 5th position from the left and B is at the 3

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Question: In a line of people, if A is at the 5th position from the left and B is at the 3rd position from the right, how many people are there in the line if A and B are not adjacent?

Options:

  1. 7
  2. 8
  3. 9
  4. 10

Correct Answer: 9

Solution: 

If A is 5th from the left and B is 3rd from the right, there are 9 people in total.

In a line of people, if A is at the 5th position from the left and B is at the 3

Practice Questions

Q1
In a line of people, if A is at the 5th position from the left and B is at the 3rd position from the right, how many people are there in the line if A and B are not adjacent?
  1. 7
  2. 8
  3. 9
  4. 10

Questions & Step-by-Step Solutions

In a line of people, if A is at the 5th position from the left and B is at the 3rd position from the right, how many people are there in the line if A and B are not adjacent?
  • Step 1: Identify A's position. A is at the 5th position from the left.
  • Step 2: Identify B's position. B is at the 3rd position from the right.
  • Step 3: Understand that the total number of people can be calculated by adding A's position and B's position, then subtracting 1 (because A and B are not adjacent).
  • Step 4: Calculate the total: A's position (5) + B's position (3) - 1 = 5 + 3 - 1.
  • Step 5: Perform the calculation: 5 + 3 = 8, then 8 - 1 = 7.
  • Step 6: Since A is at the 5th position from the left, there are 4 people to the left of A.
  • Step 7: Since B is at the 3rd position from the right, there are 2 people to the right of B.
  • Step 8: Add the people to the left of A (4), A (1), the people between A and B (1), and the people to the right of B (2): 4 + 1 + 1 + 2 = 8.
  • Step 9: Therefore, the total number of people in the line is 9.
  • Positioning in a Line – Understanding how to calculate the total number of people in a line based on given positions from both ends.
  • Non-adjacency Condition – Recognizing the importance of the condition that A and B are not adjacent when determining the total number of people.
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