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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.
Q.
Suppose three of the ten cities are to be developed as hubs. A hub is a city which is connected with every other city by direct flights each way, both in the morning as well as in the evening. The only direct flights which will be scheduled are originating and/or terminating in one of the hubs. Then the minimum number of direct flights that need to be scheduled so that the underlying principle of the airline to serve all the ten cities is met without visiting more than one hub during one trip is:
- a)54
- b)120
- c)96
- d)60
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A new airlines company is planning to start operations in a country. T...
Let the ten cities be represented by A – J. Among these ten cities, consider A, B and C to be hubs and the other seven cities to be non-hub cities. It is given that any direct flight should originate or terminate at a hub.
Consider city D, which is not a hub. D is connected to each of A, B and C. Between D and each of A, B and C, theremust be four flights (see the above solution). Hence, from D, there must be 4 × 3 = 12 flights to the three hubs, A, B and C. Similarly, for each of the other six non-hub cities, there must be 12 flights connecting each non-hub city with the three hubs. Hence, a total of 12 ×7 = 84 flights will connect a non-hub city with a hub. In addition to this, the three hubs must be connected amongst themselves. Since there must be four flights between any pair of cities, there will be a total of 4 × 3 = 12 flights connecting any pair of hubs.
So, the total minimum number of flights that should be scheduled = 84 + 12 = 96.
Option (C)
Option (C)
Most Upvoted Answer
A new airlines company is planning to start operations in a country. T...
Minimum Number of Direct Flights Needed
To determine the minimum number of direct flights needed to connect all ten cities with three hubs, the following steps can be followed:
Identify the Hubs
- Select three cities to be developed as hubs.
- All direct flights will originate and/or terminate in one of these hubs.
Calculate Direct Flights per Hub
- Each hub needs to be connected to every other city with direct flights in both the morning and evening.
- Therefore, each hub requires 9 direct flights per day (connecting to 9 other cities).
Calculate Total Direct Flights
- With 3 hubs, the total number of direct flights needed is 3 hubs x 9 direct flights per hub = 27 direct flights per day.
Calculate Return Flights
- Each direct flight will have a return flight in the evening.
- Therefore, the total number of return flights needed is also 27 direct flights per day.
Total Number of Flights
- Adding direct and return flights, the total number of flights needed per day is 27 direct flights + 27 return flights = 54 flights per day.
Therefore, the minimum number of direct flights that need to be scheduled to ensure that all ten cities are connected without visiting more than one hub during one trip is 54 flights per day.
To determine the minimum number of direct flights needed to connect all ten cities with three hubs, the following steps can be followed:
Identify the Hubs
- Select three cities to be developed as hubs.
- All direct flights will originate and/or terminate in one of these hubs.
Calculate Direct Flights per Hub
- Each hub needs to be connected to every other city with direct flights in both the morning and evening.
- Therefore, each hub requires 9 direct flights per day (connecting to 9 other cities).
Calculate Total Direct Flights
- With 3 hubs, the total number of direct flights needed is 3 hubs x 9 direct flights per hub = 27 direct flights per day.
Calculate Return Flights
- Each direct flight will have a return flight in the evening.
- Therefore, the total number of return flights needed is also 27 direct flights per day.
Total Number of Flights
- Adding direct and return flights, the total number of flights needed per day is 27 direct flights + 27 return flights = 54 flights per day.
Therefore, the minimum number of direct flights that need to be scheduled to ensure that all ten cities are connected without visiting more than one hub during one trip is 54 flights per day.
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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.Q.Suppose three of the ten cities are to be developed as hubs. A hub is a city which is connected with every other city by direct flights each way, both in the morning as well as in the evening. The only direct flights which will be scheduled are originating and/or terminating in one of the hubs. Then the minimum number of direct flights that need to be scheduled so that the underlying principle of the airline to serve all the ten cities is met without visiting more than one hub during one trip is:a)54b)120c)96d)60Correct answer is option 'C'. Can you explain this answer?
Question Description
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.Q.Suppose three of the ten cities are to be developed as hubs. A hub is a city which is connected with every other city by direct flights each way, both in the morning as well as in the evening. The only direct flights which will be scheduled are originating and/or terminating in one of the hubs. Then the minimum number of direct flights that need to be scheduled so that the underlying principle of the airline to serve all the ten cities is met without visiting more than one hub during one trip is:a)54b)120c)96d)60Correct 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 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.Q.Suppose three of the ten cities are to be developed as hubs. A hub is a city which is connected with every other city by direct flights each way, both in the morning as well as in the evening. The only direct flights which will be scheduled are originating and/or terminating in one of the hubs. Then the minimum number of direct flights that need to be scheduled so that the underlying principle of the airline to serve all the ten cities is met without visiting more than one hub during one trip is:a)54b)120c)96d)60Correct 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 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.Q.Suppose three of the ten cities are to be developed as hubs. A hub is a city which is connected with every other city by direct flights each way, both in the morning as well as in the evening. The only direct flights which will be scheduled are originating and/or terminating in one of the hubs. Then the minimum number of direct flights that need to be scheduled so that the underlying principle of the airline to serve all the ten cities is met without visiting more than one hub during one trip is:a)54b)120c)96d)60Correct answer is option 'C'. Can you explain this answer?.
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.Q.Suppose three of the ten cities are to be developed as hubs. A hub is a city which is connected with every other city by direct flights each way, both in the morning as well as in the evening. The only direct flights which will be scheduled are originating and/or terminating in one of the hubs. Then the minimum number of direct flights that need to be scheduled so that the underlying principle of the airline to serve all the ten cities is met without visiting more than one hub during one trip is:a)54b)120c)96d)60Correct 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 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.Q.Suppose three of the ten cities are to be developed as hubs. A hub is a city which is connected with every other city by direct flights each way, both in the morning as well as in the evening. The only direct flights which will be scheduled are originating and/or terminating in one of the hubs. Then the minimum number of direct flights that need to be scheduled so that the underlying principle of the airline to serve all the ten cities is met without visiting more than one hub during one trip is:a)54b)120c)96d)60Correct 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 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.Q.Suppose three of the ten cities are to be developed as hubs. A hub is a city which is connected with every other city by direct flights each way, both in the morning as well as in the evening. The only direct flights which will be scheduled are originating and/or terminating in one of the hubs. Then the minimum number of direct flights that need to be scheduled so that the underlying principle of the airline to serve all the ten cities is met without visiting more than one hub during one trip is:a)54b)120c)96d)60Correct answer is option 'C'. Can you explain this answer?.
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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.Q.Suppose three of the ten cities are to be developed as hubs. A hub is a city which is connected with every other city by direct flights each way, both in the morning as well as in the evening. The only direct flights which will be scheduled are originating and/or terminating in one of the hubs. Then the minimum number of direct flights that need to be scheduled so that the underlying principle of the airline to serve all the ten cities is met without visiting more than one hub during one trip is:a)54b)120c)96d)60Correct answer is option 'C'. Can you explain this answer?, a detailed solution for 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.Q.Suppose three of the ten cities are to be developed as hubs. A hub is a city which is connected with every other city by direct flights each way, both in the morning as well as in the evening. The only direct flights which will be scheduled are originating and/or terminating in one of the hubs. Then the minimum number of direct flights that need to be scheduled so that the underlying principle of the airline to serve all the ten cities is met without visiting more than one hub during one trip is:a)54b)120c)96d)60Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of 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.Q.Suppose three of the ten cities are to be developed as hubs. A hub is a city which is connected with every other city by direct flights each way, both in the morning as well as in the evening. The only direct flights which will be scheduled are originating and/or terminating in one of the hubs. Then the minimum number of direct flights that need to be scheduled so that the underlying principle of the airline to serve all the ten cities is met without visiting more than one hub during one trip is:a)54b)120c)96d)60Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice 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.Q.Suppose three of the ten cities are to be developed as hubs. A hub is a city which is connected with every other city by direct flights each way, both in the morning as well as in the evening. The only direct flights which will be scheduled are originating and/or terminating in one of the hubs. Then the minimum number of direct flights that need to be scheduled so that the underlying principle of the airline to serve all the ten cities is met without visiting more than one hub during one trip is:a)54b)120c)96d)60Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
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