Logical Reasoning – Set – Four cars need to travel from Akala to Bakala

DILR – Logical Reasoning – Set

The following set contains four questions related to Logical Reasoning. Choose the best answer to each question.

CAT 2017 - LRDI - Logical Reasoning - Set - Four cars need to travel from Akala to Bakala

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.

Questions

Q1) How many cars would be asked to take the route A-N-B, that is Akala-Nanur-Bakala route, by the police department?

Q2) If all the cars follow the police order, what is the difference in travel time (in minutes) between a car which takes the route A-NB and a car that takes the route A-M-B?
A) 1
B) 0.1
C) 0.2
D) 0.9

Q3) 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 A-MN-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.)

Q4) 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 A-MN-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.)
A) 26
B) 32
C) 29.9
D) 30

Answers

Q1: 2
Q2: Option (B)
Q3: 2
Q4: Option (B)

Solutions

Q1
From CAT 2017 – Logical Reasoning – Set, we can infer that,
CAT 2017 - Logical Reasoning - Set 5 - Four cars need to travel
When two cars go from the route A – N – B
CAT 2017 - Logical Reasoning - Set 5 - Four cars need to travel
Total time taken = 30 minutes
When two cars go from the route A – M – B
CAT 2017 - Logical Reasoning - Set 5 - Four cars need to travel
Total time taken = 29.9 minutes
So, the number of cars that can go from the route A-N-B are 2
Answer: 2

Q2
From CAT 2017 – Logical Reasoning – Set, we can infer that,
CAT 2017 - Logical Reasoning - Set 5 - Four cars need to travel
As we can see from the above question, the difference in time will be 30-29.9 = 0.1 minutes
Option (B)

Q3
From CAT 2017 – Logical Reasoning – Set, we can infer that,

When only one care takes the route A – N –B
CAT 2017 - Logical Reasoning - Set 5 - Four cars need to travel
Total time = 26 minutes
When only one car takes the route A – M – B
CAT 2017 - Logical Reasoning - Set 5 - Four cars need to travel
Total time = 26 minutes
So, police department will ask 2 cars to take the route A – M – N – B
Answer: 2

Q4
From CAT 2017 – Logical Reasoning – Set, we can infer that,
CAT 2017 - Logical Reasoning - Set 5 - Four cars need to travel
When all cars follow the police order the time taken would be A-M-B (1 car) = 12 + 20 = 32 minutes.
A-M-N-B (2cars) = 12 + 8 + 12 = 32 minutes. A-N-B (1 car) = 20 + 12 =32 minutes.
Option (B)

Download CAT 2017 Question Paper with answers and detailed solutions in PDF

CAT 2017 Questions from Logical Reasoning

Logical Reasoning – Set 1: A high security research lab requires the researchers to set a pass key sequence based on the scan of the five fingers of their left hands.
Logical Reasoning – Set 2: Eight friends: Ajit, Byomkesh, Gargi, Jayanta, Kikira, Manik, Prodosh and Tapesh are going to Delhi from Kolkata by a flight operated by Cheap Air.
Logical Reasoning – Set 3: In an 8 X 8 chessboard a queen placed anywhere can attack another piece if the piece is present in the same row, or in the same column or in any diagonal position in any possible 4 directions, provided there is no other piece in between in the path from the queen to that piece.
Logical Reasoning – Set 4: A tea taster was assigned to rate teas from six different locations – Munnar, Wayanad, Ooty, Darjeeling, Assam and Himachal.
Logical Reasoning – Set 5: A new airlines company is planning to start operations in a country.
Logical Reasoning – Set 6: In a square layout of size 5m × 5m, 25 equal sized square platforms of different heights are built.
Logical Reasoning – Set 7: There are 21 employees working in a division, out of whom 10 are special-skilled employees (SE) and the remaining are regular skilled employees (RE).
Logical Reasoning – Set 8: Healthy Bites is a fast food joint serving three items: burgers, fries and ice cream.

Other posts related to Data Interpretation and Logical Reasoning

Games and Tournaments for CAT 2017 Logical Reasoning – Part 1
Coded Inequality – Tips and Tricks to Solve Questions in Logical Reasoning
How to solve Logical Reasoning questions based on Ranking and Ordering
Logical Reasoning Basics – Binary Logic – Liar, Truth Teller, and Alternator
How to prepare for LRDI
How to prepare for Logical Reasoning
How to Prepare for Data Interpretation

Online Coaching Course for CAT Exam Preparation

a) 750+ Videos covering entire CAT syllabus
b) 2 Live Classes (online) every week for doubt clarification
c) Study Material & PDFs for practice and understanding
d) 10 Mock Tests in the latest pattern
e) Previous Year Questions solved on video

Know More about Online CAT Course

Logical Reasoning – Set – Four cars need to travel from Akala to Bakala
5 (100%) 60 votes

16 Replies to “Logical Reasoning – Set – Four cars need to travel from Akala to Bakala”

Leave a Reply

Your email address will not be published. Required fields are marked *