రౌటర్స్ మరియు నెట్వర్క్ MCQ Quiz in తెలుగు - Objective Question with Answer for Routes and Network - ముఫ్త్ [PDF] డౌన్లోడ్ కరెన్
Last updated on Mar 26, 2025
Latest Routes and Network MCQ Objective Questions
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రౌటర్స్ మరియు నెట్వర్క్ Question 1:
Comprehension:
In the magical town of Hogwartz, the road network is designed to facilitate smooth travel between various parts of the town. The roads are organized as follows:
i. The roads are categorized into two types: north-south roads and east-west roads.
ii. All north-south roads run parallel to each other, and similarly, all east-west roads are parallel to one another.
iii. The north-south roads are labeled alphabetically starting from 'A' for the westernmost road, progressing through B, C, D, and so on.
iv. The east-west roads are numbered sequentially, with 1 being assigned to the southernmost road and increasing in number as they go north.
v. Every intersection where two roads meet is referred to as a "square." The name of each square is formed by combining the labels of the intersecting roads. For example, the square where road C intersects with road 5 is labeled as C5. The distance between any two consecutive squares is fixed at 1 km.
vi. Currently, all roads are bidirectional. However, the government has the authority to convert any road to one-way in response to traffic management needs.
vii. U-turns are prohibited at all intersections (squares).
If all even-numbered roads are now one-way with traffic only allowed to travel west, and all odd-numbered roads are one-way only towards the east, with roads D and F restricted to one-way traffic towards the north and south, respectively. Dobby's car starts from D1, and Harry's car starts from E4, both traveling at equal speeds. After each of them travels 4 km, at which square can they meet?
Answer (Detailed Solution Below)
Routes and Network Question 1 Detailed Solution
Let's consider each option;
Option 1, i.e., D4 -> Minimum travelling distance between D1 and D4 is 3 km (an odd number). So, it cannot be covered by travelling 4 km (an even number).
Option 2, i.e., E3 -> Minimum travelling distance between D1 and E3 is 3 km (an odd number). So, it cannot be covered by travelling 4 km (an even number).
Option 3, i.e., F3 -> Minimum travelling distance between D1 and F3 (an even number) is 4 km and the minimum travelling distance between E4 and F3 is 2 km (an even number). So, it can be covered by travelling 4 km (an even number) as shown in the figure.
Option 4, i.e., C3 -> Minimum travelling distance between D1 and C3 is 3 km (an odd number). So, it cannot be covered by travelling 4 km (an even number).
Hence, option (3) is correct.
రౌటర్స్ మరియు నెట్వర్క్ Question 2:
Comprehension:
In the magical town of Hogwartz, the road network is designed to facilitate smooth travel between various parts of the town. The roads are organized as follows:
i. The roads are categorized into two types: north-south roads and east-west roads.
ii. All north-south roads run parallel to each other, and similarly, all east-west roads are parallel to one another.
iii. The north-south roads are labeled alphabetically starting from 'A' for the westernmost road, progressing through B, C, D, and so on.
iv. The east-west roads are numbered sequentially, with 1 being assigned to the southernmost road and increasing in number as they go north.
v. Every intersection where two roads meet is referred to as a "square." The name of each square is formed by combining the labels of the intersecting roads. For example, the square where road C intersects with road 5 is labeled as C5. The distance between any two consecutive squares is fixed at 1 km.
vi. Currently, all roads are bidirectional. However, the government has the authority to convert any road to one-way in response to traffic management needs.
vii. U-turns are prohibited at all intersections (squares).
In Hogwartz Town, all even-numbered roads are now one-way, with traffic moving only towards the west, while odd-numbered roads are one-way only towards the east. Additionally, roads D and F are one-way towards the north and south, respectively. If Voldemort needs to travel from D2 to F4, how many distinct paths can he take to cover the least distance, considering the new road restrictions?
Answer (Detailed Solution Below) 3
Routes and Network Question 2 Detailed Solution
The minimum distance from D2 to F4 is 6 km with one-way restrictions. So, we have to figure out different ways with which we can travel 6 km to reach from D2 to F4.
As shown in the figure, it can be done in three ways.
రౌటర్స్ మరియు నెట్వర్క్ Question 3:
Comprehension:
In the magical town of Hogwartz, the road network is designed to facilitate smooth travel between various parts of the town. The roads are organized as follows:
i. The roads are categorized into two types: north-south roads and east-west roads.
ii. All north-south roads run parallel to each other, and similarly, all east-west roads are parallel to one another.
iii. The north-south roads are labeled alphabetically starting from 'A' for the westernmost road, progressing through B, C, D, and so on.
iv. The east-west roads are numbered sequentially, with 1 being assigned to the southernmost road and increasing in number as they go north.
v. Every intersection where two roads meet is referred to as a "square." The name of each square is formed by combining the labels of the intersecting roads. For example, the square where road C intersects with road 5 is labeled as C5. The distance between any two consecutive squares is fixed at 1 km.
vi. Currently, all roads are bidirectional. However, the government has the authority to convert any road to one-way in response to traffic management needs.
vii. U-turns are prohibited at all intersections (squares).
Starting from square G2, Snape travels a total distance of 6 km. Which of the following squares could not be his destination?
Answer (Detailed Solution Below)
Routes and Network Question 3 Detailed Solution
Calculate the steps to each of the given points in the options, hence, I5 is the only point, where Snape can't reach by travelling 6 km.
రౌటర్స్ మరియు నెట్వర్క్ Question 4:
Comprehension:
In the magical town of Hogwartz, the road network is designed to facilitate smooth travel between various parts of the town. The roads are organized as follows:
i. The roads are categorized into two types: north-south roads and east-west roads.
ii. All north-south roads run parallel to each other, and similarly, all east-west roads are parallel to one another.
iii. The north-south roads are labeled alphabetically starting from 'A' for the westernmost road, progressing through B, C, D, and so on.
iv. The east-west roads are numbered sequentially, with 1 being assigned to the southernmost road and increasing in number as they go north.
v. Every intersection where two roads meet is referred to as a "square." The name of each square is formed by combining the labels of the intersecting roads. For example, the square where road C intersects with road 5 is labeled as C5. The distance between any two consecutive squares is fixed at 1 km.
vi. Currently, all roads are bidirectional. However, the government has the authority to convert any road to one-way in response to traffic management needs.
vii. U-turns are prohibited at all intersections (squares).
Hermione is traveling from square H6 to square B2 in Hogwartz town, with a stop at square D4 to visit Harry along the way. What is the minimum distance she must travel, given the road network in the town?
Answer (Detailed Solution Below)
Routes and Network Question 4 Detailed Solution
The road diagram of the town is given in the diagram:
To reach B2 from H6, the person must walk 6 steps towards the west and 4 steps towards the south, regardless of the route chosen.
Thus, the possible paths she can take are:
H6 → D6 → D4 → B4 → B2 or
H6 → H4 → D4 → B4 → B2
(There may be a few other routes with the same total distance.)
రౌటర్స్ మరియు నెట్వర్క్ Question 5:
Comprehension:
A large volume of traffic moves from city Surat to Tripura in the one-way street network displayed below. Cities Ajmer, Bikaner, Calcutta, and Dehradun serve as junctions in the network, with arrows showing the direction of traffic flow. The fuel cost for traveling along a street is denoted by the number next to the arrow representing the street.
Motorists traveling from city Surat to city Tripura would naturally choose the route with the lowest travel cost. If there are multiple routes with the same minimum cost, drivers would be indifferent between them, and as a result, traffic would be evenly distributed across all the least-cost routes.
The government can regulate traffic flow only by imposing the appropriate toll charges at each junction. For instance, if a motorist takes the S-A-T route (using junction Ajmer), the total travel cost would be Rs. 14 (i.e., Rs. 9 + Rs. 5) in addition to the toll fee charged at junction Ajmer.
If the government aims to ensure that all routes from Surat to Tripura carry the same amount of traffic, then a feasible set of toll charges (in rupees) at junctions Ajmer, Bikaner, Calcutta, and Dehradun to achieve this goal is:
Answer (Detailed Solution Below)
Routes and Network Question 5 Detailed Solution
Since the total cost of travel, including toll charges, is the same for all routes:
Therefore, the equations are:
Thus, we have:
Hence, the correct option is (4).
రౌటర్స్ మరియు నెట్వర్క్ Question 6:
Comprehension:
A large volume of traffic moves from city Surat to Tripura in the one-way street network displayed below. Cities Ajmer, Bikaner, Calcutta, and Dehradun serve as junctions in the network, with arrows showing the direction of traffic flow. The fuel cost for traveling along a street is denoted by the number next to the arrow representing the street.
Motorists traveling from city Surat to city Tripura would naturally choose the route with the lowest travel cost. If there are multiple routes with the same minimum cost, drivers would be indifferent between them, and as a result, traffic would be evenly distributed across all the least-cost routes.
The government can regulate traffic flow only by imposing the appropriate toll charges at each junction. For instance, if a motorist takes the S-A-T route (using junction Ajmer), the total travel cost would be Rs. 14 (i.e., Rs. 9 + Rs. 5) in addition to the toll fee charged at junction Ajmer.
The government aims to create a toll policy that minimizes the total cost for commuters per trip. The policy must also guarantee that no more than 70% of the total traffic passes through junction Bikaner. The cost for a commuter traveling from city Surat to city Tripura under this policy will be:
Answer (Detailed Solution Below)
Routes and Network Question 6 Detailed Solution
If no toll charges are applied at any junctions, then 100% of the traffic will flow through Surat-Bikaner-Calcutta-Tripura. This is not feasible.
If toll charges at junctions Ajmer and Bikaner are set to 0, then 100% of the traffic will pass through Surat-Bikaner-Ajmer-Tripura. This also isn't viable.
If toll charges at junctions Calcutta and Dehradun are set to 0, with the toll at junction Bikaner set to Rs. 3, the traffic will be equally divided between Surat-Dehradun-Calcutta-Tripura and Surat-Bikaner-Calcutta-Tripura.
Thus, the total cost incurred will be Rs. 10.
రౌటర్స్ మరియు నెట్వర్క్ Question 7:
Comprehension:
A large volume of traffic moves from city Surat to Tripura in the one-way street network displayed below. Cities Ajmer, Bikaner, Calcutta, and Dehradun serve as junctions in the network, with arrows showing the direction of traffic flow. The fuel cost for traveling along a street is denoted by the number next to the arrow representing the street.
Motorists traveling from city Surat to city Tripura would naturally choose the route with the lowest travel cost. If there are multiple routes with the same minimum cost, drivers would be indifferent between them, and as a result, traffic would be evenly distributed across all the least-cost routes.
The government can regulate traffic flow only by imposing the appropriate toll charges at each junction. For instance, if a motorist takes the S-A-T route (using junction Ajmer), the total travel cost would be Rs. 14 (i.e., Rs. 9 + Rs. 5) in addition to the toll fee charged at junction Ajmer.
If the government aims to prevent any traffic from flowing on the street from Dehradun to Tripura while ensuring that equal amounts of traffic pass through junctions Ajmer and Calcutta, then the appropriate toll charges (in rupees) at junctions Ajmer, Bikaner, Calcutta, and Dehradun to achieve this goal are as follows:
Answer (Detailed Solution Below)
Routes and Network Question 7 Detailed Solution
Since the total cost of travel including tolls on the routes Surat-Ajmer-Tripura, Surat-Bikaner-Calcutta-Tripura, Surat-Bikaner-Ajmer-Tripura, and Suart-Dehradun-Calcutta-Tripura is identical, we can express this as:
రౌటర్స్ మరియు నెట్వర్క్ Question 8:
Comprehension:
A large volume of traffic moves from city Surat to Tripura in the one-way street network displayed below. Cities Ajmer, Bikaner, Calcutta, and Dehradun serve as junctions in the network, with arrows showing the direction of traffic flow. The fuel cost for traveling along a street is denoted by the number next to the arrow representing the street.
Motorists traveling from city Surat to city Tripura would naturally choose the route with the lowest travel cost. If there are multiple routes with the same minimum cost, drivers would be indifferent between them, and as a result, traffic would be evenly distributed across all the least-cost routes.
The government can regulate traffic flow only by imposing the appropriate toll charges at each junction. For instance, if a motorist takes the S-A-T route (using junction Ajmer), the total travel cost would be Rs. 14 (i.e., Rs. 9 + Rs. 5) in addition to the toll fee charged at junction Ajmer.
If the government wants to ensure that all motorists traveling from Surat to Tripura pay the same amount, including both fuel costs and tolls, regardless of the route they choose, and the street from Bikaner to Calcutta is under construction (making it unusable), then a suitable set of toll fees (in rupees) at junctions Ajmer, Bikaner, Calcutta, and Dehradun, respectively, to achieve this goal would be:
Answer (Detailed Solution Below)
Routes and Network Question 8 Detailed Solution
Let the toll charges at junctions Ajmer, Bikaner, Calcutta, and Dehradun be denoted as , , and , respectively.
Since the total travel cost, including the toll, on routes , , , and are all equal, we have the following equations:
From these, we can solve for the values: ,
If , ; if
Thus, both options 2 and 3 fulfill the given conditions.
రౌటర్స్ మరియు నెట్వర్క్ Question 9:
Comprehension:
An existing airline company is planning to begin operations within a new country. They have identified ten distinct cities that they intend to link through their network. The flight time between any two cities will be under one hour. In order to begin operations, the company needs to establish a daily schedule.
The fundamental principle behind their planning is as follows:
Any individual residing in any of these 10 cities should be able to travel to any other city in the morning and return by the evening of the same day.
Consider a scenario where 10 cities are divided into four distinct groups: G1, G2, G3, and G4, with 3, 3, 2, and 2 cities in each group respectively. Group G1 consists of cities A, B, and C. Direct flights are allowed only between two cities based on one of the following conditions:
- Both cities are within G1.
- A city in G1 and any city in G2.
- B city in G1 and any city in G3.
- C city in G1 and any city in G4.
However, due to operational challenges at A, it was decided that only flights between A and B would operate. The cities in G2 will have to be assigned to either G3 or G4.
What is the maximum reduction in the number of direct flights compared to the situation before the operational difficulties arose?
Answer (Detailed Solution Below) 4
Routes and Network Question 9 Detailed Solution
Given the conditions mentioned earlier, in G1, A will be connected to B, and B will be connected to C. Additionally, B will connect to either of the two cities in G3, and C will connect to either of the two cities in G4.
Now, the two cities from G2 that were previously connected to A can now be connected to one of the cities in G3 or G4. There will no longer be a flight connection between A and C in G1.
Therefore, the total number of flight connections, when compared to the previous situation, will be reduced by the number of flights that were connecting A and C, i.e., 4.
Answer : 4.
రౌటర్స్ మరియు నెట్వర్క్ Question 10:
Comprehension:
An existing airline company is planning to begin operations within a new country. They have identified ten distinct cities that they intend to link through their network. The flight time between any two cities will be under one hour. In order to begin operations, the company needs to establish a daily schedule.
The fundamental principle behind their planning is as follows:
Any individual residing in any of these 10 cities should be able to travel to any other city in the morning and return by the evening of the same day.
Consider that the 10 cities are divided into four distinct groups: G1, G2, G3, and G4, with 3, 3, 2, and 2 cities in each group, respectively. Group G1 includes cities A, B, and C. Furthermore, direct flights are only permitted between two cities under the following conditions:
- Both cities are in group G1.
- One city is A, and the other is in group G2.
- One city is B, and the other is in group G3.
- One city is C, and the other is in group G4.
What is the minimum number of direct flights required to meet the airline's operational principle?
Answer (Detailed Solution Below) 40
Routes and Network Question 10 Detailed Solution
Now that A, B, and C are in group G1, and since there are no restrictions on the flights between cities in G1, the total number of ways to connect two cities within G1 is:
A can connect with any of the 3 cities in G1 in ways.
B can connect with any of the 2 cities in G2 in ways.
C can connect with any of the 3 cities in G3 in .
Therefore, the total minimum number of direct flights required to meet the underlying principle is:
.