In a row of girls, Kamiya is fifth from the left and Preeti is sixth from the right. When they exchange their positions, then Kamiya becomes thirteenth from the left. What will be Preeti's position from the right?

Options

A. 7th
B. 11th
C. 14th
D. 18th

Explanation

To solve the problem step by step, we can follow these calculations:

### Step 1: Understand the positions
- Kamiya is 5th from the left.
- Preeti is 6th from the right.
- After they exchange positions, Kamiya becomes 13th from the left.

### Step 2: Determine the total number of girls in the row
When Kamiya moves to Preeti's position, her new position is 13th from the left. We can use the information about her original position from the left and her new position to find the total number of girls in the row.

Let \( N \) be the total number of girls in the row.

From Kamiya's new position:
- Kamiya's position from the left after the exchange = 13
- Preeti's original position from the right = 6

Using the formula:
\[ N = \text{Position from the left} + \text{Position from the right} - 1 \]
Substituting the values:
\[ N = 13 + 6 - 1 = 18 \]

### Step 3: Find Preeti's position from the left
Now we know the total number of girls \( N = 18 \).

Preeti was originally 5th from the left. We can find her position from the right using the same formula:
\[ \text{Position from the right} = N - \text{Position from the left} + 1 \]
Substituting the values:
\[ \text{Position from the right} = 18 - 5 + 1 = 14 \]

### Conclusion
Thus, Preeti's position from the right after the exchange is 14th.

### Final Answer
Preeti's position from the right is **14th**.

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