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This EduRev document offers 15 Multiple Choice Questions (MCQs) from the topic Number System (Level  3). These questions are of Level  3 difficulty and will assist you in the preparation of CAT & other MBA exams. You can practice/attempt these CAT Multiple Choice Questions (MCQs) and check the explanations for a better understanding of the topic.
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 northeast 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?
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 northeast 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.
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 northeast 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?
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?
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?
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?
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?
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. In which of the following directions is Q currently positioned with respect to the initial position of R?
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 distance is to be travelled by R to reach point A?
1. $ 10sqrt{2}, m$
2. $ 5sqrt{29}, m$
3. $ 10sqrt{5}, m$
4. $ 5sqrt{27}, m$
5. $ 10sqrt{3}, m$
There is an AB axis in such a way that A is in north and B is in south direction. There is an XY axis in such a way that X is in west and Y is in east direction. AB axis and XY axis intersect at a point Q in such a way that AQ is 30 m, QB is 34 m, QX is 24 m and QY is 48 m. Jon is facing north and starts walking from point A towards left side and covers 15 m, and then again takes a left turn and walks the same distance. Tim starts walking from point Y towards south and covers 24 m, and then after taking a right turn walks another 62 m. Sam is at point X and walks 10 m towards north, and then after taking a right turn continues for 48 m more.
Q. Point X is in which direction with respect to Jon's starting position?
There is an AB axis in such a way that A is in north and B is in south direction. There is an XY axis in such a way that X is in west and Y is in east direction. AB axis and XY axis intersect at a point Q in such a way that AQ is 30 m, QB is 34 m, QX is 24 m and QY is 48 m. Jon is facing north and starts walking from point A towards left side and covers 15 m, and then again takes a left turn and walks the same distance. Tim starts walking from point Y towards south and covers 24 m, and then after taking a right turn walks another 62 m. Sam is at point X and walks 10 m towards north, and then after taking a right turn continues for 48 m more.
Q. To reach a point which is horizontally inline with point A, how much distance is required for Sam to travel in north direction?
There is an AB axis in such a way that A is in north and B is in south direction. There is an XY axis in such a way that X is in west and Y is in east direction. AB axis and XY axis intersect at a point Q in such a way that AQ is 30 m, QB is 34 m, QX is 24 m and QY is 48 m. Jon is facing north and starts walking from point A towards left side and covers 15 m, and then again takes a left turn and walks the same distance. Tim starts walking from point Y towards south and covers 24 m, and then after taking a right turn walks another 62 m. Sam is at point X and walks 10 m towards north, and then after taking a right turn continues for 48 m more.
Q. Towards which direction is point B from Sam's ending point?
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