In a row of boys, Vishal is seventh from the left and Kamal is eleventh from the right. When they exchange their places, Vishal is thirteenth from the left. What is the new position of Kamal from the right ?

Options

A. 16th
B. 17th
C. 18th
D. 19th

Answer

To solve the problem, let's break it down step by step.

### Step 1: Understand the Positions
- Vishal is 7th from the left.
- Kamal is 11th from the right.

### Step 2: Determine the Total Number of Boys
When Vishal and Kamal exchange places, Vishal becomes 13th from the left. This means that the total number of boys in the row can be calculated using the formula:
\[ \text{Total Boys} = \text{Position of Vishal from the left} + \text{Position of Kamal from the right} - 1 \]
Substituting the known values:
\[ \text{Total Boys} = 13 + 11 - 1 = 23 \]

### Step 3: Find Kamal's New Position from the Right
After the exchange, Vishal is at Kamal's original position. Since Kamal was originally 11th from the right, we need to find out what Kamal's new position is after the exchange.

- Vishal was at position 7 from the left, and after the exchange, he is now at position 13 from the left. This means he moved 6 positions to the right (from 7 to 13).
- Since Kamal is now at the position where Vishal was (7th from the left), we need to calculate Kamal's new position from the right.

### Step 4: Calculate Kamal's New Position
Kamal was originally 11th from the right. Since Vishal moved 6 positions to the right, Kamal will also move 6 positions to the right from his original position:
\[ \text{New position of Kamal from the right} = 11 + 6 = 17 \]

### Final Answer
Thus, Kamal's new position from the right is **17th**.

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