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Test: Analytical Reasoning - 1 - Question 1

**Directions for Questions:** Four cars need to travel from Akala (A) to Bakala (B). Two routes are available, one via Mamur (M) and the other via Nanur (N). The roads from A to M, and from N to B, are both short and narrow. In each case, one car takes 6 minutes to cover the distance, and each additional car increases the travel time per car by 3 minutes because of congestion. (For example, if only two cars drive from A to M, each car takes 9 minutes).On the road from A to N, one car takes 20 minutes, and each additional car increases the travel time per car by 1 minute. On the road from M to B, one car takes 20 minutes, and each additional car increases the travel time per car by 0.9 minute.

The police department orders each car to take a particular route in such a manner that it is not possible for any car to reduce its travel time by not following the order, while the other cars are following the order.

(2017)

**Q. How many cars would be asked to take the route A-N-B, that is Akala-Nanur-Bakala route, by the police department?**

Detailed Solution for Test: Analytical Reasoning - 1 - Question 1

Test: Analytical Reasoning - 1 - Question 2

**Directions for Questions:** Four cars need to travel from Akala (A) to Bakala (B). Two routes are available, one via Mamur (M) and the other via Nanur (N). The roads from A to M, and from N to B, are both short and narrow. In each case, one car takes 6 minutes to cover the distance, and each additional car increases the travel time per car by 3 minutes because of congestion. (For example, if only two cars drive from A to M, each car takes 9 minutes).On the road from A to N, one car takes 20 minutes, and each additional car increases the travel time per car by 1 minute. On the road from M to B, one car takes 20 minutes, and each additional car increases the travel time per car by 0.9 minute.

The police department orders each car to take a particular route in such a manner that it is not possible for any car to reduce its travel time by not following the order, while the other cars are following the order.

(2017)

**Q. If all the car s follow the police order, what is the differen ce in travel time (in minutes) between a car which takes the route A-N-B and a car that takes the route A-M-B?**

Detailed Solution for Test: Analytical Reasoning - 1 - Question 2

Test: Analytical Reasoning - 1 - Question 3

**Directions for Questions:** Four cars need to travel from Akala (A) to Bakala (B). Two routes are available, one via Mamur (M) and the other via Nanur (N). The roads from A to M, and from N to B, are both short and narrow. In each case, one car takes 6 minutes to cover the distance, and each additional car increases the travel time per car by 3 minutes because of congestion. (For example, if only two cars drive from A to M, each car takes 9 minutes).On the road from A to N, one car takes 20 minutes, and each additional car increases the travel time per car by 1 minute. On the road from M to B, one car takes 20 minutes, and each additional car increases the travel time per car by 0.9 minute.

The police department orders each car to take a particular route in such a manner that it is not possible for any car to reduce its travel time by not following the order, while the other cars are following the order.

(2017)

**Q. A new one-way road is built from M to N. Each car now has three possible routes to travel from A to B: A-M-B, A-N-B and AM-N-B. On the road from M to N, one car takes 7 minutes and each additional car increases the travel time per car by 1 minute.
Assume that any car taking the A-M-N-B route travels the A-M portion at the same time as other cars taking the A-M-B route, and the N-B portion at the same time as other cars taking the A-N-B route.
How many cars would the police department order to take the A-M-N-B route so that it is not possible for any car to reduce its travel time by not following the order while the other cars follow the order? (Assume that the police department would never order all the cars to take the same route.)**

Detailed Solution for Test: Analytical Reasoning - 1 - Question 3

Test: Analytical Reasoning - 1 - Question 4

**Directions for Questions:** Four cars need to travel from Akala (A) to Bakala (B). Two routes are available, one via Mamur (M) and the other via Nanur (N). The roads from A to M, and from N to B, are both short and narrow. In each case, one car takes 6 minutes to cover the distance, and each additional car increases the travel time per car by 3 minutes because of congestion. (For example, if only two cars drive from A to M, each car takes 9 minutes).On the road from A to N, one car takes 20 minutes, and each additional car increases the travel time per car by 1 minute. On the road from M to B, one car takes 20 minutes, and each additional car increases the travel time per car by 0.9 minute.

The police department orders each car to take a particular route in such a manner that it is not possible for any car to reduce its travel time by not following the order, while the other cars are following the order.

(2017)

**Q. A new one-way road is built from M to N. Each car now has three possible routes to travel from A to B: A-M-B, A-N-B and AM-N-B. On the road from M to N, one car takes 7 minutes and each additional car increases the travel time per car by 1 minute.
Assume that any car taking the A-M-N-B route travels the A-M portion at the same time as other cars taking the A-M-B route, and the N-B portion at the same time as other cars taking the A-N-B route.
If all the cars follow the police order, what is the minimum travel time (in minutes) from A to B? (Assume that the police department would never order all the cars to take the same route.)**

Detailed Solution for Test: Analytical Reasoning - 1 - Question 4

Test: Analytical Reasoning - 1 - Question 5

**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.**

Detailed Solution for Test: Analytical Reasoning - 1 - Question 5

Test: Analytical Reasoning - 1 - Question 6

**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 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.**

Detailed Solution for Test: Analytical Reasoning - 1 - Question 6

Test: Analytical Reasoning - 1 - Question 7

**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 G4

Then the minimum number of direct flights that satisfies the underlying principle of the airline is.

Detailed Solution for Test: Analytical Reasoning - 1 - Question 7

Test: Analytical Reasoning - 1 - Question 8

**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.

(A) Both cities are in G1

(B) Between a and any city in G2

(C) Between b and any city in G3

(D) Between c and any city in G4

However, due to operational difficulties at A, it was later decided that the only flights that would operate at A would be those to and from B. Cities in G2 would have to be assigned to G3 or G4.

**What would be the maximum reduction in the number of direct flights as compared to the situation before the operational difficulties arose?**

Detailed Solution for Test: Analytical Reasoning - 1 - Question 8

Test: Analytical Reasoning - 1 - Question 9

**Directions for Questions:** answer the questions on the basis of the information given below.

A team must be selected from ten probable – A, B, C, D, E, F, G, H, I and J. Of these, A, C, E and are forwards, B, G and H are point guards and D, F and I are defenders.

Further, the following conditions need to be observed:

(i) The team must have at least one forward, one point guard and one defender.

(ii) If the team includes J, it must also include F.

(iii) The team must include E or B, but not both.

(iv) If the team includes G, it must also include F.

(v) The team must include exactly one among C, G and I.

(vi) C and F cannot be members of the same team

(vii) D and H cannot be members of the same team

(viii) The team must include both A and D or neither of them.

There is no restriction on the number of members in the team.

(2016)

**Q. What could be the size of the team that includes G?**

Detailed Solution for Test: Analytical Reasoning - 1 - Question 9

Test: Analytical Reasoning - 1 - Question 10

**Directions for Questions:** answer the questions on the basis of the information given below.

A team must be selected from ten probable – A, B, C, D, E, F, G, H, I and J. Of these, A, C, E and are forwards, B, G and H are point guards and D, F and I are defenders.

Further, the following conditions need to be observed:

(i) The team must have at least one forward, one point guard and one defender.

(ii) If the team includes J, it must also include F.

(iii) The team must include E or B, but not both.

(iv) If the team includes G, it must also include F.

(v) The team must include exactly one among C, G and I.

(vi) C and F cannot be members of the same team

(vii) D and H cannot be members of the same team

(viii) The team must include both A and D or neither of them

There is no restriction on the number of members in the team.

(2016)

**Q. What would be the size of the largest possible team?**

Detailed Solution for Test: Analytical Reasoning - 1 - Question 10

Test: Analytical Reasoning - 1 - Question 11

**Directions for Questions:** answer the questions on the basis of the information given below.

A team must be selected from ten probable – A, B, C, D, E, F, G, H, I and J. Of these, A, C, E and are forwards, B, G and H are point guards and D, F and I are defenders.

Further, the following conditions need to be observed:

(i) The team must have at least one forward, one point guard and one defender.

(ii) If the team includes J, it must also include F.

(iii) The team must include E or B, but not both.

(iv) If the team includes G, it must also include F.

(v) The team must include exactly one among C, G and I.

(vi) C and F cannot be members of the same team

(vii) D and H cannot be members of the same team

(viii) The team must include both A and D or neither of them

There is no restriction on the number of members in the team.

(2016)

**Q. Who cannot be included in a team of size 6?**

Detailed Solution for Test: Analytical Reasoning - 1 - Question 11

Test: Analytical Reasoning - 1 - Question 12

**Directions for Questions:** answer the questions on the basis of the information given below.

A team must be selected from ten probable – A, B, C, D, E, F, G, H, I and J. Of these, A, C, E and are forwards, B, G and H are point guards and D, F and I are defenders.

Further, the following conditions need to be observed:

(i) The team must have at least one forward, one point guard and one defender.

(ii) If the team includes J, it must also include F.

(iii) The team must include E or B, but not both.

(iv) If the team includes G, it must also include F.

(v) The team must include exactly one among C, G and I.

(vi) C and F cannot be members of the same team

(vii) D and H cannot be members of the same team

(viii) The team must include both A and D or neither of them

There is no restriction on the number of members in the team.

(2016)

**Q. What can be the size of the team that includes C?**

Detailed Solution for Test: Analytical Reasoning - 1 - Question 12

Test: Analytical Reasoning - 1 - Question 13

**Directions for Questions: Answer the questions on the basis of the information given below.**

After facing yet another World Cup debacle, the Board of Cricket Control in India (BCCI) is in search of a new coach for the team. It shortlisted five persons – Anshuman, Buchanen, John, Whatmore and Chappel. Each of them is from a different country among Australia, India, Japan, Pakistan and Canada, not necessarily in that order. At present, each of them is coaching the team of a different country among Australia, Bangladesh, china, Wales and Bermuda, not necessarily in that order. The following details were also observed about their particulars:

(i) For any person, each of his three particulars – his name, the name of the country from which he is and the name of the country that he is coaching at present, starts with a different letter.

(ii) Whatmore is coaching Australia and John is from neither Australia nor Pakistan.

(iii) Buchanen is not coaching China and the person who is coaching Bermuda is from Canada.

(iv) Anshuman is neither from Canada nor from Pakistan and also the person from Pakistan is coaching Bangladesh.

(2016)

**Q. Whatmore is from which country?**

Detailed Solution for Test: Analytical Reasoning - 1 - Question 13

Test: Analytical Reasoning - 1 - Question 14

**Directions for Questions: Answer the questions on the basis of the information given below.**

After facing yet another World Cup debacle, the Board of Cricket Control in India (BCCI) is in search of a new coach for the team. It shortlisted five persons – Anshuman, Buchanen, John, Whatmore and Chappel. Each of them is from a different country among Australia, India, Japan, Pakistan and Canada, not necessarily in that order. At present, each of them is coaching the team of a different country among Australia, Bangladesh, china, Wales and Bermuda, not necessarily in that order. The following details were also observed about their particulars:

(i) For any person, each of his three particulars – his name, the name of the country from which he is and the name of the country that he is coaching at present, starts with a different letter.

(ii) Whatmore is coaching Australia and John is from neither Australia nor Pakistan.

(iii) Buchanen is not coaching China and the person who is coaching Bermuda is from Canada.

(iv) Anshuman is neither from Canada nor from Pakistan and also the person from Pakistan is coaching Bangladesh.

(2016)

**Q. Who is the person from Australia?**

Detailed Solution for Test: Analytical Reasoning - 1 - Question 14

Test: Analytical Reasoning - 1 - Question 15

**Directions for Questions: Answer the questions on the basis of the information given below.**

After facing yet another World Cup debacle, the Board of Cricket Control in India (BCCI) is in search of a new coach for the team. It shortlisted five persons – Anshuman, Buchanen, John, Whatmore and Chappel. Each of them is from a different country among Australia, India, Japan, Pakistan and Canada, not necessarily in that order. At present, each of them is coaching the team of a different country among Australia, Bangladesh, china, Wales and Bermuda, not necessarily in that order. The following details were also observed about their particulars:

(i) For any person, each of his three particulars – his name, the name of the country from which he is and the name of the country that he is coaching at present, starts with a different letter.

(ii) Whatmore is coaching Australia and John is from neither Australia nor Pakistan.

(iii) Buchanen is not coaching China and the person who is coaching Bermuda is from Canada.

(iv) Anshuman is neither from Canada nor from Pakistan and also the person from Pakistan is coaching Bangladesh.

(2016)

**Q. The person from Japan is definitely not coaching**

Detailed Solution for Test: Analytical Reasoning - 1 - Question 15

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