# What is the number of points

A straight line segment is 36 cm long. Points are to be marked on the line from both the end points. From each end; the first point is at a distance of 1 cm from the end, the second point is at a distance of 2 cm from the first point and the third point is at a distance of 3 cm from the second point and so on. If the points on the ends are not counted and the common points are counted as one, what is the number of points ?

- 10
- 12
- 14
- 16

**Answer: (2) 12**

**Explanation:-**

According to question,

The point will be at the given below distances from A

0, 1, 2, 3, 6, 10, 15, 21, 28, 36

From another point, the point will be at the given below distances from A,

0, 8, 15, 21, 26, 30, 33, 35, 36

The remaining marks will be at below distance from A

1, 3, 6, 8, 10, 15, 21, 26, 28, 30, 33, 35

So, totally 12 points are marked on the line.

Hence, the correct answer is option (1) 12.