A is 16th from the left end in a row of boys and V is 18th from the right end. G is 11th from A towards the right and 3rd from V towards the right end. How many boys are there in the row?

Correct Answer: 41 (Option 2)

Let us solve the problem step-by-step by determining the position of each person in the row.

Step 1: Determine the position of A from the left end
It is given that A is 16th from the left end.
Position of A from the left end = 16.

Step 2: Determine the position of G from the left end
It is given that G is 11th from A towards the right.
Position of G from left end = Position of A from left end + 11
$16+11=27$

So, G is 27th from the left end.

Step 3: Determine the position of G from the right end
It is given that V is 18th from the right end.
It is also given that G is 3rd from V towards the right end (which means G is closer to the right end than V by 3 positions).
Position of G from right end = Position of V from right end - 3
$18-3=15$

So, G is 15th from the right end.

Step 4: Calculate the total number of boys in the row
We now know both the position of G from the left end and from the right end:
• Position of G from left end = 27
• Position of G from right end = 15

Using the standard formula for total number of people in a row:
Total boys = (Position of G from left) + (Position of G from right) - 1
$\text{Total boys}=27+15-1$
$\text{Total boys}=42-1=41$

Therefore, there are 41 boys in the row.