Question

In a row of people all facing North, Harry is 8th from the right end. Ben is 19th from the right end. Ben is exactly between Harry and Loin. If Loin is 7th from the left end of the line, how many people are there in the row?

• A. 36
• B. 34
• C. 37
• D. 35

Answer 1

Answer:

A. 36

There are 36 people in the row.

1. Find the distance between Harry and Ben:

* Harry is 8th from the right.

* Ben is 19th from the right.

* Difference in positions = $19 - 8 = 11$.

2. Find Loin's position from the right:

* Since Ben is exactly in the middle of Harry and Loin, Loin must be another 11 positions further to the left of Ben.

* Loin's position from the right = $19 + 11 = \mathbf{30\text{th}\text{ from the right}}$.

3. Calculate the total number of people:

* Loin is 30th from the right and 7th from the left.

* Total people = $(\text{Left Position} + \text{Right Position}) - 1$

* Total people = $(7 + 30) - 1 = \mathbf{36}$.