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Directions: Study the following information carefully to answer the given question.
There are two axes AB and XY such that A is in north, B is in south, X is in west and Y is in east. Q is the point of intersection of both the axes. At A, B, X and Y, there are houses of 4 friends - Amit, Rahul, Karan and Kunal, respectively. Another friend Rohan is standing at the point 'Q' facing north-east direction. He then walks 4 km in the same direction which he is facing and reaches 'M'. Then he turns 135° anticlockwise and walks 5 km straight and reaches 'N'. Amit starts walking towards south from his house and reaches point Q. After reaching Q, Rohan tells Amit to meet him at N; so Amit travels the shortest distance possible to reach N in the end where he meets Rohan.
Q. Find the shortest distance Amit travels from Q to reach the point N.
  • a)
    2 km
  • b)
    2.5 km
  • c)
    3 km
  • d)
    4 km
  • e)
    5 km
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Directions: Study the following information carefully to answer the gi...
Degrees to his right and walks another 3 km to reach N. From N, he turns 90 degrees to his left and walks 2 km to reach P.

Question: How far and in which direction is P from Q?

Solution:

To find the distance and direction from P to Q, we can break down Rohan's movements step by step.

First, Rohan walks 4 km in the north-east direction from Q to M. This means he walks 4 km towards the north and 4 km towards the east.

Next, he turns 135 degrees to his right and walks 3 km to reach N. This means he walks 3 km towards the east and 3 km towards the south-east.

Lastly, from N, he turns 90 degrees to his left and walks 2 km to reach P. This means he walks 2 km towards the south and 2 km towards the south-west.

To find the total distance, we can add up the distances traveled in each step.

From Q to M: 4 km north + 4 km east = 8 km

From M to N: 3 km east + 3 km south-east = 6 km

From N to P: 2 km south + 2 km south-west = 4 km

Therefore, the total distance from Q to P is 8 km + 6 km + 4 km = 18 km.

To determine the direction, we can draw a diagram or use the direction notation.

Starting from Q, we can see that P is located towards the south-west direction.

Therefore, P is 18 km away from Q and in the south-west direction.
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Directions: Study the following information carefully to answer the given question.There are two axes AB and XY such that A is in north, B is in south, X is in west and Y is in east. Q is the point of intersection of both the axes. At A, B, X and Y, there are houses of 4 friends - Amit, Rahul, Karan and Kunal, respectively. Another friend Rohan is standing at the point Q facing north-east direction. He then walks 4 km in the same direction which he is facing and reaches M. Then he turns 135° anticlockwise and walks 5 km straight and reaches N. Amit starts walking towards south from his house and reaches point Q. After reaching Q, Rohan tells Amit to meet him at N; so Amit travels the shortest distance possible to reach N in the end where he meets Rohan.Q.Find the shortest distance Amit travels from Q to reach the point N.a)2 kmb)2.5 kmc)3 kmd)4 kme)5 kmCorrect answer is option 'C'. Can you explain this answer?
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Directions: Study the following information carefully to answer the given question.There are two axes AB and XY such that A is in north, B is in south, X is in west and Y is in east. Q is the point of intersection of both the axes. At A, B, X and Y, there are houses of 4 friends - Amit, Rahul, Karan and Kunal, respectively. Another friend Rohan is standing at the point Q facing north-east direction. He then walks 4 km in the same direction which he is facing and reaches M. Then he turns 135° anticlockwise and walks 5 km straight and reaches N. Amit starts walking towards south from his house and reaches point Q. After reaching Q, Rohan tells Amit to meet him at N; so Amit travels the shortest distance possible to reach N in the end where he meets Rohan.Q.Find the shortest distance Amit travels from Q to reach the point N.a)2 kmb)2.5 kmc)3 kmd)4 kme)5 kmCorrect answer is option 'C'. 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: Study the following information carefully to answer the given question.There are two axes AB and XY such that A is in north, B is in south, X is in west and Y is in east. Q is the point of intersection of both the axes. At A, B, X and Y, there are houses of 4 friends - Amit, Rahul, Karan and Kunal, respectively. Another friend Rohan is standing at the point Q facing north-east direction. He then walks 4 km in the same direction which he is facing and reaches M. Then he turns 135° anticlockwise and walks 5 km straight and reaches N. Amit starts walking towards south from his house and reaches point Q. After reaching Q, Rohan tells Amit to meet him at N; so Amit travels the shortest distance possible to reach N in the end where he meets Rohan.Q.Find the shortest distance Amit travels from Q to reach the point N.a)2 kmb)2.5 kmc)3 kmd)4 kme)5 kmCorrect answer is option 'C'. 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: Study the following information carefully to answer the given question.There are two axes AB and XY such that A is in north, B is in south, X is in west and Y is in east. Q is the point of intersection of both the axes. At A, B, X and Y, there are houses of 4 friends - Amit, Rahul, Karan and Kunal, respectively. Another friend Rohan is standing at the point Q facing north-east direction. He then walks 4 km in the same direction which he is facing and reaches M. Then he turns 135° anticlockwise and walks 5 km straight and reaches N. Amit starts walking towards south from his house and reaches point Q. After reaching Q, Rohan tells Amit to meet him at N; so Amit travels the shortest distance possible to reach N in the end where he meets Rohan.Q.Find the shortest distance Amit travels from Q to reach the point N.a)2 kmb)2.5 kmc)3 kmd)4 kme)5 kmCorrect answer is option 'C'. Can you explain this answer?.
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