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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.)
  • a)
    2
  • b)
    3
  • c)
    4
  • d)
    5
Correct answer is option 'A'. Can you explain this answer?
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Directions for Questions:Four cars need to travel from Akala (A) to Ba...
Original time (A–N–B) = 21 + 12 = 33 (three cars) New time = 12 + 20.9 = 32.9
If one car is directed through M–N, one of the car directed through M–B can break the Police order and go through M–N and save time as shown– original time (A–M–B) = 12 (3 cars) + 20.9 = 32.9
New time (A–M–N–B) = 12 + 8 + 12 = 32 Minutes
∴ Only two cars must be directed through M–N Such that any car breaking the Police order can not reduce the travel time.
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Directions for Questions:Four cars need to travel from Akala (A) to Ba...
Original time (A–N–B) = 21 + 12 = 33 (three cars) New time = 12 + 20.9 = 32.9
If one car is directed through M–N, one of the car directed through M–B can break the Police order and go through M–N and save time as shown– original time (A–M–B) = 12 (3 cars) + 20.9 = 32.9
New time (A–M–N–B) = 12 + 8 + 12 = 32 Minutes
∴ Only two cars must be directed through M–N Such that any car breaking the Police order can not reduce the travel time.
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Directions for Questions:Four cars need to travel from Akala (A) to Ba...
Original time (A–N–B) = 21 + 12 = 33 (three cars) New time = 12 + 20.9 = 32.9
If one car is directed through M–N, one of the car directed through M–B can break the Police order and go through M–N and save time as shown– original time (A–M–B) = 12 (3 cars) + 20.9 = 32.9
New time (A–M–N–B) = 12 + 8 + 12 = 32 Minutes
∴ Only two cars must be directed through M–N Such that any car breaking the Police order can not reduce the travel time.
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Directions for Questions : Study the following information carefully to answer these questions. Eight executives B, G, H, K, D, F, T, & V are working in three departments Engineering, Systems and Marketing of the organization and are posted at different places viz. Chennai, Kozhikode, Kolkata, Ranchi, Patna, Bhopal, Nagpur and Hyderabad are not necessarily in the same order. At least two and not more than three executives work in any of the three departments. G works in the Engineering department at Chennai. H is posted in Ranchi but not in the systems department. No one from the Marketing department is posted in Hyderabad. The only other person in the same department as that of G is posted in Kolkata. D is posted in Hyderabad and F in Kozhikode. V is not posted in Kolkata and works in the same department as that of D. B and T both work in the Marketing department. The one who works in Marketing is not posted in Bhopal. T is not posted in Nagpur.Which department has only two Executives?

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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 itstravel 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.)a)2b)3c)4d)5Correct answer is option 'A'. Can you explain this answer?
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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 itstravel 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.)a)2b)3c)4d)5Correct answer is option 'A'. 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: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 itstravel 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.)a)2b)3c)4d)5Correct answer is option 'A'. 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: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 itstravel 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.)a)2b)3c)4d)5Correct answer is option 'A'. Can you explain this answer?.
Solutions for 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 itstravel 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.)a)2b)3c)4d)5Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of 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 itstravel 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.)a)2b)3c)4d)5Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of 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 itstravel 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.)a)2b)3c)4d)5Correct answer is option 'A'. Can you explain this answer?, a detailed solution for 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 itstravel 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.)a)2b)3c)4d)5Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of 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 itstravel 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.)a)2b)3c)4d)5Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice 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 itstravel 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.)a)2b)3c)4d)5Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice CAT tests.
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