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Directions for Questions: A new airlines company is planning to start operations in a country. The company has identified ten different cities which they plan to connect through their network to start with. The flight duration between any pair of cities will be less than one hour. To start operations, the company has to decide on a daily schedule.
The underlying principle that they are working on is the following.
Any person staying in any of these 10 cities should be able to make a trip to any other city in the morning and should be able to return by the evening of the same day.
(2017)
Q. If the underlying principle is to satisfied in such a way that the journey between any two cities can be performed using only direct (non-stop) flights, then the minimum number of direct flights to be scheduled is.
  • a)
    45
  • b)
    90
  • c)
    180
  • d)
    135
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Directions for Questions: A new airlines company is planning to start ...
Number of ways of selecting two cities from ten cities -10C2
= 10 x 9 / 2
Hence the minimum no. of flights that must be scheduled = 45 × 4 = 180
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Directions for Questions: A new airlines company is planning to start ...
Calculating the minimum number of direct flights required:
To ensure that any person can make a trip to any other city in the morning and return by the evening of the same day using only direct flights, we need to calculate the minimum number of direct flights required.

Calculating the number of direct flights between each pair of cities:
- The number of direct flights between each pair of cities can be calculated using the formula n(n-1)/2, where n is the number of cities.
- In this case, there are 10 cities, so the number of direct flights between each pair of cities would be 10(10-1)/2 = 45.

Calculating the total number of direct flights required:
- Since each pair of cities requires a direct flight, we need to multiply the number of direct flights between each pair of cities by 2 (for round trip) to get the total number of direct flights required.
- Therefore, the total number of direct flights required would be 45 * 2 = 90.
Therefore, the minimum number of direct flights to be scheduled to satisfy the underlying principle is 90, which corresponds to option b) in the question.
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Directions for Questions: A new airlines company is planning to start operations in a country. The company has identified ten different cities which they plan to connect through their network to start with. The flight duration between any pair of cities will be less than one hour. To start operations, the company has to decide on a daily schedule.The underlying principle that they are working on is the following.Any person staying in any of these 10 cities should be able to make a trip to any other city in the morning and should be able to return by the evening of the same day.(2017)Q.If the underlying principle is to satisfied in such a way that the journey between any two cities can be performed using only direct (non-stop) flights, then the minimum number of direct flights to be scheduled is.a)45b)90c)180d)135Correct answer is option 'C'. Can you explain this answer?
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Directions for Questions: A new airlines company is planning to start operations in a country. The company has identified ten different cities which they plan to connect through their network to start with. The flight duration between any pair of cities will be less than one hour. To start operations, the company has to decide on a daily schedule.The underlying principle that they are working on is the following.Any person staying in any of these 10 cities should be able to make a trip to any other city in the morning and should be able to return by the evening of the same day.(2017)Q.If the underlying principle is to satisfied in such a way that the journey between any two cities can be performed using only direct (non-stop) flights, then the minimum number of direct flights to be scheduled is.a)45b)90c)180d)135Correct answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions for Questions: A new airlines company is planning to start operations in a country. The company has identified ten different cities which they plan to connect through their network to start with. The flight duration between any pair of cities will be less than one hour. To start operations, the company has to decide on a daily schedule.The underlying principle that they are working on is the following.Any person staying in any of these 10 cities should be able to make a trip to any other city in the morning and should be able to return by the evening of the same day.(2017)Q.If the underlying principle is to satisfied in such a way that the journey between any two cities can be performed using only direct (non-stop) flights, then the minimum number of direct flights to be scheduled is.a)45b)90c)180d)135Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions for Questions: A new airlines company is planning to start operations in a country. The company has identified ten different cities which they plan to connect through their network to start with. The flight duration between any pair of cities will be less than one hour. To start operations, the company has to decide on a daily schedule.The underlying principle that they are working on is the following.Any person staying in any of these 10 cities should be able to make a trip to any other city in the morning and should be able to return by the evening of the same day.(2017)Q.If the underlying principle is to satisfied in such a way that the journey between any two cities can be performed using only direct (non-stop) flights, then the minimum number of direct flights to be scheduled is.a)45b)90c)180d)135Correct answer is option 'C'. Can you explain this answer?.
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