Routes and networks || Data interpretation || CAT 2021 || 05 June (App update required to attempt this test) for CAT & MBA Exams

Question 1

Direction: Read the information carefully and give the answer of the following questions-

Yogender, a sales manager, has to plan a nationwide tour in which he has to visit a certain number of cities among eight cities – A, B, C, D, E, F, G, and H. Among these eight cities, two cities, A and D, are in the northern region, two cities, B and F, are in the southern region, two cities, E and G, are in the eastern region, while C and H are in the western region. Further, it is known that

i) If he visits a city in the eastern region, he has to visit a city in the western region.

ii) City A and City D are neighbouring cities and among the two, if he visits one city, he has to visit the other city.

iii) If he visits City C, he can visit neither City E nor City H.

iv) If he visits both City D and City E, he has to visit City F.

v) If he visits City G, he cannot visit City B

What is the maximum number of cities that Yogender can plan to visit?

Question 2

Direction: Read the information carefully and give the answer of the following questions-

Yogender, a sales manager, has to plan a nationwide tour in which he has to visit a certain number of cities among eight cities – A, B, C, D, E, F, G, and H. Among these eight cities, two cities, A and D, are in the northern region, two cities, B and F, are in the southern region, two cities, E and G, are in the eastern region, while C and H are in the western region. Further, it is known that

i) If he visits a city in the eastern region, he has to visit a city in the western region.

ii) City A and City D are neighbouring cities and among the two, if he visits one city, he has to visit the other city.

iii) If he visits City C, he can visit neither City E nor City H.

iv) If he visits both City D and City E, he has to visit City F.

v) If he visits City G, he cannot visit City B

If Yogender plans to visit exactly five cities, in how many ways can he select the five cities for the tour?

Question 3

Direction: Read the information carefully and give the answer of the following questions-

Yogender, a sales manager, has to plan a nationwide tour in which he has to visit a certain number of cities among eight cities – A, B, C, D, E, F, G, and H. Among these eight cities, two cities, A and D, are in the northern region, two cities, B and F, are in the southern region, two cities, E and G, are in the eastern region, while C and H are in the western region. Further, it is known that

i) If he visits a city in the eastern region, he has to visit a city in the western region.

ii) City A and City D are neighbouring cities and among the two, if he visits one city, he has to visit the other city.

iii) If he visits City C, he can visit neither City E nor City H.

iv) If he visits both City D and City E, he has to visit City F.

v) If he visits City G, he cannot visit City B

Which of the following conditions, if applied in conjunction with the conditions given above, will result in the maximum reduction in the maximum number of cities that Yogender can visit during the tour?

Question 4

Direction: Read the information carefully and give the answer of the following questions-

Yogender, a sales manager, has to plan a nationwide tour in which he has to visit a certain number of cities among eight cities – A, B, C, D, E, F, G, and H. Among these eight cities, two cities, A and D, are in the northern region, two cities, B and F, are in the southern region, two cities, E and G, are in the eastern region, while C and H are in the western region. Further, it is known that

i) If he visits a city in the eastern region, he has to visit a city in the western region.

ii) City A and City D are neighbouring cities and among the two, if he visits one city, he has to visit the other city.

iii) If he visits City C, he can visit neither City E nor City H.

iv) If he visits both City D and City E, he has to visit City F.

v) If he visits City G, he cannot visit City B

How many of the following statements are definitely true, if Yogender plans to visit at least five cities in his tour?

i) If he visits a city from the western region, he has to visit a city from the eastern region.

ii) If he visits City B, he has to visit city F.

iii) If he visits City E, he has to visit city H.

Question 5

Directions: 5 cities P, Q, R, S, T are connected by different modes of transports as follows –
â P and Q are connected by boat as well as by rail
â S and R are connected by bus and boat
â Q and T are connected only by air
â P and R are connected only by boat
â T and R are connected by rail and bus

Which of the following pair of cities are connected directly? (Without going to any other city)

Question 6

Directions: 5 cities P, Q, R, S, T are connected by different modes of transports as follows –
â P and Q are connected by boat as well as by rail
â S and R are connected by bus and boat
â Q and T are connected only by air
â P and R are connected only by boat
â T and R are connected by rail and bus

Which mode of transport would help one to reach R starting from Q but without changing any mode of transport?

Question 7

Directions: 5 cities P, Q, R, S, T are connected by different modes of transports as follows –
â P and Q are connected by boat as well as by rail
â S and R are connected by bus and boat
â Q and T are connected only by air
â P and R are connected only by boat
â T and R are connected by rail and bus

If a person visits each of the places starting from P and gets back to P, which of the following places must he visit twice?

Question 8

Directions: 5 cities P, Q, R, S, T are connected by different modes of transports as follows –
â P and Q are connected by boat as well as by rail
â S and R are connected by bus and boat
â Q and T are connected only by air
â P and R are connected only by boat
â T and R are connected by rail and bus

Between two cities, among the pairs of cities given below, are maximum travel options available? (if there is more than one route possible between two cities, consider the one with lease number of cities enroute)

Question 9

R1, R2, R3, R4, R5, R6, R7 are seven places on a map. The following places are connected by two-way roads: R1 and R2; R1 and R6; R3 and R6; R3 and R4; R6 and R7; R4 and R5; R2 and R3; R5 and R7. No other road exists. The shortest route (the route with the least number of intermediate places) from R1 to R7 is:-

Question 10

Five capitals A, B, C, D and E are connected by different modes of transport as follows.

A and B are connected by boat as well as by rail.

D and C are connected by bus and by boat.

B and E are connected only by air.

A and C are connected only by boa t.

E and C are connected by rail and by bus.

Which of the following pair of capitals are connected by any of the routes directly (without going through any other capital)?