Anil is standing at 16th position from the left end in a row. 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 persons are standing in this row ?

Question

Accepted Answer

To determine the total number of persons 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 Vikas**: Vikas is at the 18th position from the right end.

4. **Position of Gopal relative to Vikas**: Gopal is 3rd from Vikas towards the right end. Therefore, Gopal's position from the right end is:
   $$
   18 - 3 = 15
   $$
   So, Gopal is at the 15th position from the right end.

Now, we have Gopal's position from both ends:
- 27th from the left
- 15th from the right

To find the total number of persons in the row, we add Gopal's positions from both ends and subtract 1 (since Gopal is counted twice):
$$
27 + 15 - 1 = 41
$$

Therefore, the total number of persons in the row is 41, which corresponds to Option 1.

**Explanation for Incorrect Options**:
- **Option 2 (42)**: This option is incorrect because the calculation of total persons (27 + 15 - 1) clearly results in 41, not 42.
- **Option 3 (48)**: This option is incorrect as it significantly overestimates the total number of persons. The correct calculation shows 41.
- **Option 4 (49)**: This option is incorrect for the same reason as Option 3; it overestimates the total number of persons in the row.

Thus, the correct answer is Option 1, which accurately reflects the total number of persons in the row based on the given positions of Anil, Vikas, and Gopal.