In a row of 40 boys facing the North, Amar is 6th to the right of Sandeep and Sandeep is 11th to the left of Vijay. If Amar is 28th from the right end of the row, what is the position of Vijay from the left end of the row.

Correct option is B

Step 1: Define positions relative to each other

1. Amar is 6th to the right of Sandeep, meaning:

   $$\text{Amar’s position}=\text{Sandeep’s position}+6$$

2. Sandeep is 11th to the left of Vijay, meaning:

   $$\text{Sandeep’s position}=\text{Vijay’s position}-11$$

3. Amar is 28th from the right end of the row. Since the total number of boys in the row is 40, Amar’s position from the left can be calculated as:

   $$\text{Amar’s position from left}=40-28+1=13$$

Thus, Amar’s position from the left is 13.

Step 2: Find Sandeep’s position

Using the first relationship:

$$\text{Sandeep’s position}=\text{Amar’s position}-6=13-6=7$$

Thus, Sandeep is at the 7th position from the left.

Step 3: Find Vijay’s position

Using the second relationship:

$$\text{Vijay’s position}=\text{Sandeep’s position}+11=7+11=18$$

Thus, Vijay is at the 18th position from the left.