A road map connecting to the colonies A, B, C, D and E is shown in the figure below. Design the route starting from any colony of your choice so that you will have to walk on each of the seven routes once and only once. The starting point and the end point may not be the same. From how many points, can such route be started ?

F1  Sonali 23-12-21 Savita D1

This question was previously asked in
MPSC 2019 Prelims Paper 2 official paper
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  1. None
  2. One
  3. Two
  4. Three

Answer (Detailed Solution Below)

Option 3 : Two
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Option(3) is answer.

For this question, we can take all points one by one.

Such route started from Point A: Yes it exists, route ACDEBDAB, etc.

Such route started from Point B: Yes it exist , route BADEBDCA, etc.

Such route started from Point C: No it does not exist.

Such route started from Point D: No it does not exist.

Such route started from Point E: No it does not exist.

So, such route is started only from two points i.e., A and B.

Hence, the correct answer is option(3)i.e. Two.

Important Points 

  • For such routes we need points that have odd number of junction.
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