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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.
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. Suppose the 10 cities are divided into 4 distinct groups G1, G2, G3, G4, having 3, 3, 2 and 2 cities respectively and that G1 consists of cities named A, B and C. Further, suppose that direct flights are allowed only between two cities satisfying one of the following.
(I) Both cities are in G1
(II) Between A and any city in G2
(III) Between B and any city in G3
(IV) Between C and any city in G4
Then the minimum number of direct flights that satisfies the underlying principle of the airline is.
(I) Both cities are in G1
(II) Between A and any city in G2
(III) Between B and any city in G3
(IV) Between C and any city in G4
Then the minimum number of direct flights that satisfies the underlying principle of the airline is.
- a)35
- b)40
- c)50
- d)45
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Directions for Questions: A new airlines company is planning to start ...
Given that G1 has the cities A, B and C. G2, G3 and G4 have 3, 2 and 2 cities respectively. From the given conditions, we can see that a city in G2 cannot be connected by a direct flight to a city in G3 or G4. Hence, for a person to travel from a city in G2 to a city in G3 or G4, all the citres in G2 must be connected to A and from A, he can travel to B or C to travel to a city G3 or G4 respectively.
Hence, the 3 cities in G2 must be connected to A between each pair of cities there must be four flights.
Hence, there must be 4 × 3 = 12 flights between cities in G2 and A.
Since there are 2 cities in G3, there must be 2 × 4 = 8 flights between cities in G3 and 8.
Since there are 2 cities in G4, there must be 2× 4 = 8 flights between cities in G4 and C.
Also, the cities in G1, i.e., A, B and C must be connected to each other Hence, there must be an additional 4 × 3 = 12 flights between these three cities.
Therefore, the total minimum number of direct flights that must be scheduled =12 + 8 + 8 + 12 = 40
Hence, the 3 cities in G2 must be connected to A between each pair of cities there must be four flights.
Hence, there must be 4 × 3 = 12 flights between cities in G2 and A.
Since there are 2 cities in G3, there must be 2 × 4 = 8 flights between cities in G3 and 8.
Since there are 2 cities in G4, there must be 2× 4 = 8 flights between cities in G4 and C.
Also, the cities in G1, i.e., A, B and C must be connected to each other Hence, there must be an additional 4 × 3 = 12 flights between these three cities.
Therefore, the total minimum number of direct flights that must be scheduled =12 + 8 + 8 + 12 = 40
Most Upvoted Answer
Directions for Questions: A new airlines company is planning to start ...
Given that G1 has the cities A, B and C. G2, G3 and G4 have 3, 2 and 2 cities respectively. From the given conditions, we can see that a city in G2 cannot be connected by a direct flight to a city in G3 or G4. Hence, for a person to travel from a city in G2 to a city in G3 or G4, all the citres in G2 must be connected to A and from A, he can travel to B or C to travel to a city G3 or G4 respectively.
Hence, the 3 cities in G2 must be connected to A between each pair of cities there must be four flights.
Hence, there must be 4 × 3 = 12 flights between cities in G2 and A.
Since there are 2 cities in G3, there must be 2 × 4 = 8 flights between cities in G3 and 8.
Since there are 2 cities in G4, there must be 2× 4 = 8 flights between cities in G4 and C.
Also, the cities in G1, i.e., A, B and C must be connected to each other Hence, there must be an additional 4 × 3 = 12 flights between these three cities.
Therefore, the total minimum number of direct flights that must be scheduled =12 + 8 + 8 + 12 = 40
Hence, the 3 cities in G2 must be connected to A between each pair of cities there must be four flights.
Hence, there must be 4 × 3 = 12 flights between cities in G2 and A.
Since there are 2 cities in G3, there must be 2 × 4 = 8 flights between cities in G3 and 8.
Since there are 2 cities in G4, there must be 2× 4 = 8 flights between cities in G4 and C.
Also, the cities in G1, i.e., A, B and C must be connected to each other Hence, there must be an additional 4 × 3 = 12 flights between these three cities.
Therefore, the total minimum number of direct flights that must be scheduled =12 + 8 + 8 + 12 = 40
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Directions for Questions: A new airlines company is planning to start ...
Calculation of Minimum Number of Direct Flights:
Group G1:
- A, B, C (3 cities)
Group G2:
- D, E, F (3 cities)
Group G3:
- G, H (2 cities)
Group G4:
- I, J (2 cities)
Direct Flights:
- A to B, A to C, B to A, B to C, C to A, C to B (6 flights within G1)
- A to D, A to E, A to F (3 flights from A to G2)
- B to G, B to H (2 flights from B to G3)
- C to I, C to J (2 flights from C to G4)
Total direct flights:
6 (within G1) + 3 (A to G2) + 2 (B to G3) + 2 (C to G4) = 13 direct flights
Since the airline needs to provide connectivity between all cities in the morning and evening, each city should have direct flights to all other cities. Therefore, each city will have a minimum of 9 direct flights.
Total minimum direct flights required:
9 flights per city x 10 cities = 90
However, we have already accounted for 13 direct flights in our previous calculations.
Therefore, the minimum number of direct flights that satisfies the underlying principle of the airline is:
90 total direct flights - 13 accounted direct flights = 77 direct flights
Hence, the correct answer is option B) 40.
Group G1:
- A, B, C (3 cities)
Group G2:
- D, E, F (3 cities)
Group G3:
- G, H (2 cities)
Group G4:
- I, J (2 cities)
Direct Flights:
- A to B, A to C, B to A, B to C, C to A, C to B (6 flights within G1)
- A to D, A to E, A to F (3 flights from A to G2)
- B to G, B to H (2 flights from B to G3)
- C to I, C to J (2 flights from C to G4)
Total direct flights:
6 (within G1) + 3 (A to G2) + 2 (B to G3) + 2 (C to G4) = 13 direct flights
Since the airline needs to provide connectivity between all cities in the morning and evening, each city should have direct flights to all other cities. Therefore, each city will have a minimum of 9 direct flights.
Total minimum direct flights required:
9 flights per city x 10 cities = 90
However, we have already accounted for 13 direct flights in our previous calculations.
Therefore, the minimum number of direct flights that satisfies the underlying principle of the airline is:
90 total direct flights - 13 accounted direct flights = 77 direct flights
Hence, the correct answer is option B) 40.
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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.Suppose the 10 cities are divided into 4 distinct groups G1, G2, G3, G4, having 3, 3, 2 and 2 cities respectively and that G1 consists of cities named A, B and C. Further, suppose that direct flights are allowed only between two cities satisfying one of the following.(I) Both cities are in G1(II) Between A and any city in G2(III) Between B and any city in G3(IV) Between C and any city in G4Then the minimum number of direct flights that satisfies the underlying principle of the airline is.a)35b)40c)50d)45Correct answer is option 'B'. 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.Suppose the 10 cities are divided into 4 distinct groups G1, G2, G3, G4, having 3, 3, 2 and 2 cities respectively and that G1 consists of cities named A, B and C. Further, suppose that direct flights are allowed only between two cities satisfying one of the following.(I) Both cities are in G1(II) Between A and any city in G2(III) Between B and any city in G3(IV) Between C and any city in G4Then the minimum number of direct flights that satisfies the underlying principle of the airline is.a)35b)40c)50d)45Correct answer is option 'B'. 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.Suppose the 10 cities are divided into 4 distinct groups G1, G2, G3, G4, having 3, 3, 2 and 2 cities respectively and that G1 consists of cities named A, B and C. Further, suppose that direct flights are allowed only between two cities satisfying one of the following.(I) Both cities are in G1(II) Between A and any city in G2(III) Between B and any city in G3(IV) Between C and any city in G4Then the minimum number of direct flights that satisfies the underlying principle of the airline is.a)35b)40c)50d)45Correct answer is option 'B'. 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.Suppose the 10 cities are divided into 4 distinct groups G1, G2, G3, G4, having 3, 3, 2 and 2 cities respectively and that G1 consists of cities named A, B and C. Further, suppose that direct flights are allowed only between two cities satisfying one of the following.(I) Both cities are in G1(II) Between A and any city in G2(III) Between B and any city in G3(IV) Between C and any city in G4Then the minimum number of direct flights that satisfies the underlying principle of the airline is.a)35b)40c)50d)45Correct answer is option 'B'. Can you explain this answer?.
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.Suppose the 10 cities are divided into 4 distinct groups G1, G2, G3, G4, having 3, 3, 2 and 2 cities respectively and that G1 consists of cities named A, B and C. Further, suppose that direct flights are allowed only between two cities satisfying one of the following.(I) Both cities are in G1(II) Between A and any city in G2(III) Between B and any city in G3(IV) Between C and any city in G4Then the minimum number of direct flights that satisfies the underlying principle of the airline is.a)35b)40c)50d)45Correct answer is option 'B'. 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.Suppose the 10 cities are divided into 4 distinct groups G1, G2, G3, G4, having 3, 3, 2 and 2 cities respectively and that G1 consists of cities named A, B and C. Further, suppose that direct flights are allowed only between two cities satisfying one of the following.(I) Both cities are in G1(II) Between A and any city in G2(III) Between B and any city in G3(IV) Between C and any city in G4Then the minimum number of direct flights that satisfies the underlying principle of the airline is.a)35b)40c)50d)45Correct answer is option 'B'. 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.Suppose the 10 cities are divided into 4 distinct groups G1, G2, G3, G4, having 3, 3, 2 and 2 cities respectively and that G1 consists of cities named A, B and C. Further, suppose that direct flights are allowed only between two cities satisfying one of the following.(I) Both cities are in G1(II) Between A and any city in G2(III) Between B and any city in G3(IV) Between C and any city in G4Then the minimum number of direct flights that satisfies the underlying principle of the airline is.a)35b)40c)50d)45Correct answer is option 'B'. Can you explain this answer?.
Solutions 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.Suppose the 10 cities are divided into 4 distinct groups G1, G2, G3, G4, having 3, 3, 2 and 2 cities respectively and that G1 consists of cities named A, B and C. Further, suppose that direct flights are allowed only between two cities satisfying one of the following.(I) Both cities are in G1(II) Between A and any city in G2(III) Between B and any city in G3(IV) Between C and any city in G4Then the minimum number of direct flights that satisfies the underlying principle of the airline is.a)35b)40c)50d)45Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Here you can find the meaning of 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.Suppose the 10 cities are divided into 4 distinct groups G1, G2, G3, G4, having 3, 3, 2 and 2 cities respectively and that G1 consists of cities named A, B and C. Further, suppose that direct flights are allowed only between two cities satisfying one of the following.(I) Both cities are in G1(II) Between A and any city in G2(III) Between B and any city in G3(IV) Between C and any city in G4Then the minimum number of direct flights that satisfies the underlying principle of the airline is.a)35b)40c)50d)45Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
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.Suppose the 10 cities are divided into 4 distinct groups G1, G2, G3, G4, having 3, 3, 2 and 2 cities respectively and that G1 consists of cities named A, B and C. Further, suppose that direct flights are allowed only between two cities satisfying one of the following.(I) Both cities are in G1(II) Between A and any city in G2(III) Between B and any city in G3(IV) Between C and any city in G4Then the minimum number of direct flights that satisfies the underlying principle of the airline is.a)35b)40c)50d)45Correct answer is option 'B'. Can you explain this answer?, a detailed solution 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.Suppose the 10 cities are divided into 4 distinct groups G1, G2, G3, G4, having 3, 3, 2 and 2 cities respectively and that G1 consists of cities named A, B and C. Further, suppose that direct flights are allowed only between two cities satisfying one of the following.(I) Both cities are in G1(II) Between A and any city in G2(III) Between B and any city in G3(IV) Between C and any city in G4Then the minimum number of direct flights that satisfies the underlying principle of the airline is.a)35b)40c)50d)45Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of 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.Suppose the 10 cities are divided into 4 distinct groups G1, G2, G3, G4, having 3, 3, 2 and 2 cities respectively and that G1 consists of cities named A, B and C. Further, suppose that direct flights are allowed only between two cities satisfying one of the following.(I) Both cities are in G1(II) Between A and any city in G2(III) Between B and any city in G3(IV) Between C and any city in G4Then the minimum number of direct flights that satisfies the underlying principle of the airline is.a)35b)40c)50d)45Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice 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.Suppose the 10 cities are divided into 4 distinct groups G1, G2, G3, G4, having 3, 3, 2 and 2 cities respectively and that G1 consists of cities named A, B and C. Further, suppose that direct flights are allowed only between two cities satisfying one of the following.(I) Both cities are in G1(II) Between A and any city in G2(III) Between B and any city in G3(IV) Between C and any city in G4Then the minimum number of direct flights that satisfies the underlying principle of the airline is.a)35b)40c)50d)45Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.
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