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A city consists of 10 parallel roads running in the north-south direction and 5 parallel roads running in the east-west direction.
The roads running from East to West are named from 1 to 5, 1 being the southernmost road. The roads running from North to South are named from A to J, A being the westernmost road.
The intersections are denoted by the road names. Eg) The intersection of road 1 and road C is known as intersection 1C. The distance between any 2 adjacent parallel roads running from East to West is 2 km and the distance between any 2 adjacent parallel roads running in the North-South direction is 1 km.
Q. Tilak starts from junction 4C towards 1F. If Tilak wants to take the shortest possible route, the number of ways that Tilak can take is
  • a)
    20
  • b)
    30
  • c)
    15
  • d)
    10
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
A city consists of 10 parallel roads running in the north-south direct...
To travel from 4C to 1F, one has to traverse 3 horizontal and 3 vertical links. So the number of ways that Tilak can take is 6C3 = 20. Therefore, option A is the right answer.
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Community Answer
A city consists of 10 parallel roads running in the north-south direct...
To find the number of ways that Tilak can take to reach from junction 4C to 1F, we need to determine the shortest possible route. Let's break down the problem step by step.

Step 1: Understanding the Road Network
We have a city with 10 parallel roads running in the north-south direction (A to J) and 5 parallel roads running in the east-west direction (1 to 5).

Step 2: Identifying the Starting and Ending Points
Tilak starts from junction 4C and wants to reach junction 1F.

Step 3: Determining the Distance Between Adjacent Roads
The distance between any two adjacent parallel roads running from east to west is 2 km, and the distance between any two adjacent parallel roads running from north to south is 1 km.

Step 4: Finding the Shortest Route
To find the shortest route, Tilak needs to move northwards from junction 4C to reach road F and then move westwards to reach junction 1F.

Step 5: Determining the Number of Ways
To calculate the number of ways, we need to consider the number of choices Tilak has at each step.

- Moving Northwards:
- Tilak is currently on road C and wants to reach road F.
- There are 3 roads (D, E, and F) between C and F.
- Tilak has 3 choices to move northwards.

- Moving Westwards:
- Tilak is now on road F and wants to reach junction 1F.
- There are 5 roads (1, 2, 3, 4, and 5) between F and 1F.
- Tilak has 5 choices to move westwards.

Step 6: Calculating the Total Number of Ways
To find the total number of ways, we multiply the choices at each step.
Number of ways = Number of choices to move northwards * Number of choices to move westwards
Number of ways = 3 * 5 = 15

Therefore, the correct answer is option C: 15 ways.
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A city consists of 10 parallel roads running in the north-south direction and 5 parallel roads running in the east-west direction.The roads running from East to West are named from 1 to 5, 1 being the southernmost road. The roads running from North to South are named from A to J, A being the westernmost road.The intersections are denoted by the road names. Eg) The intersection of road 1 and road C is known as intersection 1C. The distance between any 2 adjacent parallel roads running from East to West is 2 km and the distance between any 2 adjacent parallel roads running in the North-South direction is 1 km.Q.Varun starts from his home in junction 1B and reaches a hotel at junction 5D. Then, he starts from the hotel and reaches his office in junction 3C. If he takes the shortest possible route everytime, then the total distance covered by Varun is

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A city consists of 10 parallel roads running in the north-south direction and 5 parallel roads running in the east-west direction.The roads running from East to West are named from 1 to 5, 1 being the southernmost road. The roads running from North to South are named from A to J, A being the westernmost road.The intersections are denoted by the road names. Eg) The intersection of road 1 and road C is known as intersection 1C. The distance between any 2 adjacent parallel roads running from East to West is 2 km and the distance between any 2 adjacent parallel roads running in the North-South direction is 1 km.Q.Tilak starts from junction 4C towards 1F. If Tilak wants to take the shortest possible route, the number of ways that Tilak can take isa)20b)30c)15d)10Correct answer is option 'A'. Can you explain this answer?
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A city consists of 10 parallel roads running in the north-south direction and 5 parallel roads running in the east-west direction.The roads running from East to West are named from 1 to 5, 1 being the southernmost road. The roads running from North to South are named from A to J, A being the westernmost road.The intersections are denoted by the road names. Eg) The intersection of road 1 and road C is known as intersection 1C. The distance between any 2 adjacent parallel roads running from East to West is 2 km and the distance between any 2 adjacent parallel roads running in the North-South direction is 1 km.Q.Tilak starts from junction 4C towards 1F. If Tilak wants to take the shortest possible route, the number of ways that Tilak can take isa)20b)30c)15d)10Correct 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 A city consists of 10 parallel roads running in the north-south direction and 5 parallel roads running in the east-west direction.The roads running from East to West are named from 1 to 5, 1 being the southernmost road. The roads running from North to South are named from A to J, A being the westernmost road.The intersections are denoted by the road names. Eg) The intersection of road 1 and road C is known as intersection 1C. The distance between any 2 adjacent parallel roads running from East to West is 2 km and the distance between any 2 adjacent parallel roads running in the North-South direction is 1 km.Q.Tilak starts from junction 4C towards 1F. If Tilak wants to take the shortest possible route, the number of ways that Tilak can take isa)20b)30c)15d)10Correct 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 A city consists of 10 parallel roads running in the north-south direction and 5 parallel roads running in the east-west direction.The roads running from East to West are named from 1 to 5, 1 being the southernmost road. The roads running from North to South are named from A to J, A being the westernmost road.The intersections are denoted by the road names. Eg) The intersection of road 1 and road C is known as intersection 1C. The distance between any 2 adjacent parallel roads running from East to West is 2 km and the distance between any 2 adjacent parallel roads running in the North-South direction is 1 km.Q.Tilak starts from junction 4C towards 1F. If Tilak wants to take the shortest possible route, the number of ways that Tilak can take isa)20b)30c)15d)10Correct answer is option 'A'. Can you explain this answer?.
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