Question

Some boys are standing in a queue. If the tenth boy from behind is 5 behind the 12th boy from the front, how many are there in the queue ?

• A. 26
• B. 17
• C. 20
• D. 27

Answer 1

Answer:

A. 26

There are 26 boys in the queue.

1. Find the position of the 12th boy from the front:

   • His position is 12.

2. Find the position of the other boy from the front:

   • He is 5 positions behind the 12th boy.

   • Position from the front = $12 + 5 = \mathbf{17}$.

3. Calculate the total number of boys:

   • This same boy is 10th from the back.

   • Total boys = (Position from front) + (Position from back) - 1

   • Total boys = $17 + 10 - 1 = \mathbf{26}$.