Service 1 is from 6 AM-8 AM, Service 2 is from 9 AM-11 AM, Service 3 is from 12 PM-2 PM, Service 4 is from 3 PM-5 PM and Service 5 is from 6 PM-8 PM

From point 1: Both trains are spotted at Jagadhri at 8 AM and 9 AM. This is possible only if Jagadhri is the destination of the first service of both trains. From point 1, both trains are spotted at Jagadhri at 4 PM. This is possible only if the Jagadhri is the intermediate hub for both trains for Service 4.

From point 2, the two trains cross each other in opposite directions at 7:30 PM i.e. when both trains are traveling towards their respective destinations (Ambala for Blue and Kurukshetra for Magenta) after crossing the intermediate hub. This is possible only if Kurukshetra is the intermediate hub for Blue train and Ambala is the intermediate hub for the Magenta train for Service 5. Since the two trains cross each other at the same point at 12:30 PM, using the other part of point 2, the Blue train should be at Kurukshetra and Ambala at 12 PM and 1 PM respectively and the Magenta train should be at Ambala and Kurukshetra at 12 PM and 1 PM respectively.

So far we have

A table with time and numbers AI-generated content may be incorrect.

We have figured out that Ambala, Jagadhri and Kurukshetra are the intermediate hubs for services 3, 4 and 5 of the Blue train. Similarly, Kurukshetra, Jagadhri and Ambala are the intermediate hubs for services 3, 4 and 5 of the Magenta train. That means Panipat and Rohtak are the intermediate hubs for services 1 and 2 of both trains. From point 1, the intermediate hubs are not the same for the two trains in the same service.

We have figured out that Ambala, Jagadhri and Kurukshetra are the starting hubs for services 1, 2 and 3 of the Blue train. Similarly, Kurukshetra, Jagadhri and Ambala are the starting hubs for services 1, 2 and 3 of the Magenta train. Therefore, Panipat and Rohtak are the starting points of the services 4 and 5 of the two trains in some order.

Now, we can complete the table as follows. We get a total of 4 cases.

It can be seen that Service 4 (3 PM-5 PM) of either Blue train or Magenta train runs from Panipat to Rohtak.

Therefore, the required answer is 2.

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