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Test Level 3: Direction Sense (August 22) - CAT MCQ


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10 Questions MCQ Test Daily Test for CAT Preparation - Test Level 3: Direction Sense (August 22)

Test Level 3: Direction Sense (August 22) for CAT 2024 is part of Daily Test for CAT Preparation preparation. The Test Level 3: Direction Sense (August 22) questions and answers have been prepared according to the CAT exam syllabus.The Test Level 3: Direction Sense (August 22) MCQs are made for CAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test Level 3: Direction Sense (August 22) below.
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Test Level 3: Direction Sense (August 22) - Question 1
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A man walks 1 km east and then turns south and walks 5 km. Then, he turns east and walks 2 km. After that he turns north and walks 9 km. How far is he from his starting point?

Detailed Solution for Test Level 3: Direction Sense (August 22) - Question 1

AB = 1 + 2 = 3 km 
BC = 9 - 5 = 4 km 
Now, in right triangle ABC, using Pythagoras theorem,
AB2 + BC2 = AC2 
32 + 42 = AC2
9 + 16 = AC2
25 = AC2
AC = 5 km

Test Level 3: Direction Sense (August 22) - Question 2
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Sona is 1.5 m South of Eva. Ram is 3 m East of Sona and David is 0.5 m West of Ram. David is 1.5 m South of Shiva and Shiva is 3 m North of Prabhu. Praveen is 3 m East of Prabhu. How much distance should Shiva travel to meet Ram (not diagonally)?

Detailed Solution for Test Level 3: Direction Sense (August 22) - Question 2

Shiva should travel 2 m to meet Ram.

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Test Level 3: Direction Sense (August 22) - Question 3
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Mayna starts walking towards south. After walking a distance of 15 metres, she turns towards north. After walking another 20 metres, she turns towards east and walks another 10 metres. She then turns towards south and walks 5 metres more. How far and in which direction is Mayna from her original position?

Detailed Solution for Test Level 3: Direction Sense (August 22) - Question 3

Here, A is the original position and E is the finishing point.
BC = 20 m, AB = 15 m, AC = ED = 5 m, CD = AE = 10 m
Therefore, at the finishing point, Mayna is 10 metres east from the original position, i.e. A.

Test Level 3: Direction Sense (August 22) - Question 4
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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. What is the final direction of Amit with respect to Q?
Detailed Solution for Test Level 3: Direction Sense (August 22) - Question 4

Amit has to walk north-west to reach 'N'. Thus, answer is north-west.

Test Level 3: Direction Sense (August 22) - Question 5
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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.
Detailed Solution for Test Level 3: Direction Sense (August 22) - Question 5

The shortest distance would be NQ. Based on the directions Rohan took, the triangle formed is a right-angled triangle. Using Pythagoras theorem:
NQ2 + QM2 = NM2
NQ2 + 42 = 52
NQ2 = 25 – 16
NQ = √9
NQ = 3 km

Test Level 3: Direction Sense (August 22) - Question 6
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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. Point 'M' is in which direction with respect to Rahul's house?
Detailed Solution for Test Level 3: Direction Sense (August 22) - Question 6

So, point 'M' is in north-east direction with respect to Rahul's house.

Test Level 3: Direction Sense (August 22) - Question 7
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Directions: Study the following information and answer the question given below it.

There is an XY axis in such a way that X is in north and Y is in south direction. There is an AB axis in such a way that A is in west direction and B is in east direction. AB axis and XY axis intersect at a point O in such a way that XO is 20 m, OY is 19 m, OA is 18 m and OB is 30 m. Sunny starts from point B and walks 5 m towards west, then turns to his right and walks 7 m, then walks 30 m in south direction, and finally turns to his left and walks 5 m. Vickey starts from point A and walks 25 m in north direction, and then turns right and walks 35 m in east direction. Rahul starts from point X and walks 5 m in north direction, then turns to his left and walks 7 m, and again turns to his left and walks 7 m.

Q. Point X is in which direction with respect to Vickey's current position?
Detailed Solution for Test Level 3: Direction Sense (August 22) - Question 7

Test Level 3: Direction Sense (August 22) - Question 8
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Directions: Study the following information and answer the question given below it.

There is an XY axis in such a way that X is in north and Y is in south direction. There is an AB axis in such a way that A is in west direction and B is in east direction. AB axis and XY axis intersect at a point O in such a way that XO is 20 m, OY is 19 m, OA is 18 m and OB is 30 m. Sunny starts from point B and walks 5 m towards west, then turns to his right and walks 7 m, then walks 30 m in south direction, and finally turns to his left and walks 5 m. Vickey starts from point A and walks 25 m in north direction, and then turns right and walks 35 m in east direction. Rahul starts from point X and walks 5 m in north direction, then turns to his left and walks 7 m, and again turns to his left and walks 7 m.

Q. What is the distance between the current positions of Rahul and Vickey?
Detailed Solution for Test Level 3: Direction Sense (August 22) - Question 8

By Pythagoras theorem:
Distance between the current positions of Rahul and Vickey = 

= 25 m

Test Level 3: Direction Sense (August 22) - Question 9
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Directions: Study the following information and answer the question given below it.

There is an XY axis in such a way that X is in north and Y is in south direction. There is an AB axis in such a way that A is in west direction and B is in east direction. AB axis and XY axis intersect at a point O in such a way that XO is 20 m, OY is 19 m, OA is 18 m and OB is 30 m. Sunny starts from point B and walks 5 m towards west, then turns to his right and walks 7 m, then walks 30 m in south direction, and finally turns to his left and walks 5 m. Vickey starts from point A and walks 25 m in north direction, and then turns right and walks 35 m in east direction. Rahul starts from point X and walks 5 m in north direction, then turns to his left and walks 7 m, and again turns to his left and walks 7 m.

Q. Point Y is in which direction with respect to Sunny's current position?
Detailed Solution for Test Level 3: Direction Sense (August 22) - Question 9

Test Level 3: Direction Sense (August 22) - Question 10
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Directions: Study the following information and answer the question given below.

Five students - P, Q, R, S and T were preparing an act for their annual function. They were facing south, but not necessarily in the same order. The distances between two adjacent students are successive multiples of 5 (i.e. the distance between the first and the second student is 5 m, the first and the third student is 10 m, and between the first and the fourth student is 15 m, and so on.)
Also,
Q is the immediate neighbour of T.
There are two students between S and R.
P is second to the right of Q.
R is not adjacent to P.

Student P turned 180° and walked straight for 10 m, and reached point A. Student R walked some distance to reach point A. Student T walked 10$\ \sqrt{2}$ m to reach point B in the southwest direction by turning exactly 45°. Student Q walked some distance straight due south to reach a point which is horizontally in line with point B.

Q. What is the distance between student S and point B?
Detailed Solution for Test Level 3: Direction Sense (August 22) - Question 10

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