English and Logical Reasoning Prep Guide
- Exam
- English and Logical Reasoning Prep Guide
- Subject
- Logical Reasoning
- Chapter
- Arithmetic Reasoning
English and Logical Reasoning Prep Guide · Logical Reasoning · Arithmetic Reasoning
A straight line is 36 cm long. Points are to be marked on the line...
A straight line is cm long. Points are to be marked on the line from both the ends so that the first point is at a distance of cm from one end, the second point is at a distance of cm from the first point, the third point is at a distance of cm from the second point, and so on. If the points at the ends are not counted, and the common points are counted as one, then what is the number of points?
Options
- A
- B
- C
- D
Correct answer
C.
Step-by-step solution
Upon analysing& the distances and the points from the given question, we can form the following table:
From the first end& & & From the second end Point& Distance
(From 1st end)
Point& & & Distance
(From 2nd& end)
First ~cm First ~cm Second ~cm Second ~cm Third ~cm Third ~cm Fourth ~cm Fourth ~cm Fifth ~cm Fifth ~cm Sixth ~cm Sixth ~cm Seventh ~cm Seventh ~cm Eighth ~cm Eighth ~cm The points~at ~cm and ~cm are endpoints. Hence, these two points are excluded.~
The four points at ~cm and ~cm are common points. Hence, two of these are also excluded.
Therefore, the required number of points~
.
Hence, the correct answer is~