Question

In a row of people, A is 7th from the left and B is 9th from the right. If there are 15 people between A and B, how many people are there in the row?

• A. 30
• B. 31
• C. 32
• D. 33

Hint:

For position problems, sum the positions from one end (left or right) and the people between, ensuring no double-counting of individuals. Visualize the row as a number line for clarity.

Answer 1

The Correct Option is B

To find the total number of people in the row, we consider the positions of A and B and the number of people between them. A is the 7th person from the left, and B is the 9th person from the right. There are 15 people between A and B. The total number of people in the row is calculated as: \[ \text{Total} = (\text{A's position from left}) + (\text{People between A and B}) + (\text{B's position from right}) \] \[ \text{Total} = 7 + 15 + 9 = 31 \] Alternatively, if we consider the positions inclusively (counting A and B), we adjust to avoid double-counting. However, the direct sum accounts for all positions: 7 (up to A) + 15 (between A and B) + 9 (from B to the end) = 31. Thus, option (2) is correct. Options (1), (3), and (4) do not match the calculated total.