Metro Line Route

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(CAT 2022)




Given above is the schematic map of the metro lines in a city with rectangles denoting terminal stations (e.g. A), diamonds denoting junction stations (e.g. R) and small filled-up circles denoting other stations. Each train runs either in east-west or north-south direction, but not both. All trains stop for 2 minutes at each of the junction stations on the way and for 1 minute at each of the other stations. It takes 2 minutes to reach the next station for trains going in east-west direction and 3 minutes to reach the next station for trains going in north-south direction. From each terminal station, the first train starts at 6 am; the last trains leave the terminal stations at midnight. Otherwise, during the service hours, there are metro service every 15 minutes in the north-south lines and every 10 minutes in the east-west lines. A train must rest for at least 15 minutes after completing a trip at the terminal station, before it can undertake the next trip in the reverse direction. (All questions are related to this metro service only. Assume that if someone reaches a station exactly at the time a train is supposed to leave, (s)he can catch that train.)


1) If Hari is ready to board a train at 8:05 am from station M, then when is the earliest that he can reach station N?
  1. 9:01 am
  2. 9:13 am
  3. 9:06 am
  4. 9:11 am
2) If Priya is ready to board a train at 10:25 am from station T, then when is the earliest that she can reach station S?
  1. 11:22 am
  2. 11:28 am
  3. 11:12 am
  4. 11:07 am
3) Haripriya is expected to reach station S late. What is the latest time by which she must be ready to board at station S if she must reach station B before 1 am via station R?
  1. 11:35 pm
  2. 11:39 pm
  3. 11:43 pm
  4. 11:49 am
4) What is the minimum number of trains that are required to provide the service on the AB line (considering both north and south directions)?

5) What is the minimum number of trains that are required to provide the service in this city?


For answers CLICK HERE.

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