A is 16th from the left end in a row of boys

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?

1. 40
2. 41
3. 42
4. Cannot be determined due to insufficient data

Answer: B

Explanation

Position of A: 16th from left end.

Position of V: 18th from right end.

Position of G: 11th from A towards the right and 3rd from V towards the right.

Now, two cases are possible:

Case I: A is to the right of V

This case is not possible, because it is given that G is 11th to the right from A. If A is to the right of V and G is further 11 positions to the right of A, then G must be at least 12 positions to the right of V. But as per the question G is only three positions to the right from V.

G is 3rd from V towards the right, so position of G = 18 - 3 = 15th from right end.

G is 11th from A towards the right, so position of G = 16 + 11 = 27th from left end.

Hence, total number of boys in the row = 27 + 15 - 1 = 41 (we subtract one because G has been counted twice).

• Exam Year: 2020