Anil is standing at 16th position from the left end in a row of boys. Vikas is at 18th position from the right end. Gopal is 11th from Anil towards the right and 3rd from Vikas towards the right end. How many boys are standing in this row ?

Question

Accepted Answer

To determine the total number of boys in the row, we need to analyze the positions of Anil, Vikas, and Gopal based on the information provided.

1. **Position of Anil**: Anil is standing at the 16th position from the left end.

2. **Position of Gopal relative to Anil**: Gopal is 11th from Anil towards the right. Therefore, Gopal's position from the left end is:
   $$
   16 + 11 = 27
   $$
   So, Gopal is at the 27th position from the left end.

3. **Position of Gopal relative to Vikas**: Gopal is 3rd from Vikas towards the right end. This means Vikas is 3 positions to the left of Gopal. Therefore, Vikas's position from the left end is:
   $$
   27 - 3 = 24
   $$

4. **Position of Vikas from the right end**: Vikas is at the 18th position from the right end.

5. **Total number of boys in the row**: To find the total number of boys, we add Vikas's position from the left end to his position from the right end and subtract 1 (since Vikas is counted twice):
   $$
   24 + 18 - 1 = 41
   $$

Thus, the total number of boys in the row is 41, which corresponds to Option 1.

**Explanation for Incorrect Options**:

- **Option 2 (42)**: This option is incorrect because the calculation clearly shows that the total number of boys is 41, not 42. The positions of Anil, Gopal, and Vikas align perfectly to sum up to 41.

- **Option 3 (48)**: This option is incorrect as it significantly overestimates the number of boys. The logical placement of Anil, Gopal, and Vikas does not support a total of 48 boys.

- **Option 4 (49)**: This option is incorrect because it also overestimates the number of boys. The calculations based on the given positions do not justify a total of 49 boys.

Therefore, the correct answer is Option 1, which accurately reflects the total number of boys in the row as 41.