Some girls were playing Kho-Kho while sitting in a row. Riti sits at sixth position from the left and Riya sits at fifth from the right. They both exchange positions and then Riti becomes tenth from the left. What will be the new position of Riya from the right end of the row?

9th

The correct answer is Option (1) → 9th

Step-by-Step Explanation:

To find Riya's new position, we first need to determine the total number of girls in the row and then calculate the shift.

1. Determine the Total Number of Girls:

• Originally, Riti is at the 6th position from the left.
• Riya is at the 5th position from the right.
• When they exchange positions, Riti moves to where Riya was.
• We are told Riti is now 10th from the left.
• Since this "new" position for Riti is the "old" position of Riya (which was 5th from the right), we can calculate the total:

$\text{Total} = (\text{Position from Left} + \text{Position from Right}) - 1$

$\text{Total} = (10 + 5) - 1 = \mathbf{14 \text{ girls}}$

2. Find Riya's New Position:

• Riya has moved to Riti's "old" position.
• Riti's old position was 6th from the left.
• To find Riya's new position from the right, we use the total number of girls:

$\text{Position from Right} = (\text{Total} - \text{Position from Left}) + 1$

$\text{Position from Right} = (14 - 6) + 1$

$\text{Position from Right} = 8 + 1 = \mathbf{9\text{th}}$