Directions – Railway Reasoning part – 5

Total Questions: 63

51. X leaves his house facing west, drives 100 km, then turns right and drives 100km. He then turns left and drives 50 km. In which direction is X facing in relation to his starting point? [RRB ALP 10/08/2018 (Evening)]

Correct Answer: (d) North west
Solution:

North west
He is in the North West direction with respect to his starting point.

52. X walks 3 km towards west, and then turns and travels 4 km towards north. The shortest distance between the start and the end point of X's journey is____________.

Correct Answer: (c) 5 km
Solution:By Pythagoras theorem, distance between starting and ending point = 5 km

53. In the morning, X and Y walk towards each other in a park. When they meet, Y's shadow falls towards the right side of X. In which direction was X facing? [RRB ALP 13/08/2018 (Evening)]

Correct Answer: (c) South
Solution:

In the morning the sun is present in the east and the shadow will fall towards the opposite side of the Sun. If X faces south then only the shadow of Y will fall on the right of X. So, X is facing south.

54. Facing East, X turns 150° clockwise and 105° anti-clockwise. Which direction is X facing now? [RRB ALP 20/08/2018 (Morning)]

Correct Answer: (d) South-East
Solution:

Initially he was facing east. Resultant angle turned by X = 150° - 105° = 45° clockwise

55. If Kamala is 50 m south-west of Neeta, and Rita is 50m south-east of Neeta, then Rita is in which direction with respect to Kamala? [RRB ALP 20/08/2018 (Afternoon)]

Correct Answer: (d) East
Solution:

Rita is in east direction with respect to Kamala

56. Mamatha is walking towards North. After walking 4 kms, she turns right and then walks for 3 kms. Now how far and in which direction is she from the starting point. [RRB ALP 20/08/2018 (Evening) ]

Correct Answer: (a) 5 kms - NE
Solution:

He is 5 km towards the North east from the starting point.

57. Two friends X and Y start from a place A; X moves 20 km towards South and Y moves 15 km towards East. The shortest distance between X and Y is_______. [RRB ALP 21/08/2018 (Morning)]

Correct Answer: (a) 25 km
Solution:

58. Facing South, X turns 225° clockwise and then 90° anti-clockwise. What direction is X facing now? [RRB ALP 21/08/2018 (Evening)]

Correct Answer: (d) North-West
Solution:

Resultant angle turned by X clockwise = + 225°- 90° = 135° clockwise Now, 135° clockwise due South, will be North-west. Therefore, he is now facing North-west.

59. A man travels 15 km towards east, then turns right and travels 20 km. He then turns left and travels 30 km. Finally, he takes a right turn and covers 40 km. The shortest distance between the starting point and the destination is: [RRB ALP 29/08/2018 (Morning)]

Correct Answer: (a) 75 km
Solution:

Let, A is the initial point and E is the final point.
AC = 25 (by pythagoras theorem in triangle ABC)
CE = 50 (by pythagoras theorem in triangle CDE)
Therefore, shortest distance between starting point and destination is 25 + 50 = 75 km

60. A man starts from point 'O' travels 20 km towards East to reach point 'A', turns right and travels 10 km to reach point 'B' turns right and travels 9 km to reach point 'C', turns right and travels 5 km to reach point 'D', turns left and travels 12 km to reach point ‘E” and then turns right and travels 6 km to reach point 'F'.

What is the shortest distance between his initial and final points?

Correct Answer: (b) √2
Solution:Let there be a point M. The distance between point M and O is 1 km and distance between point M and F is 1 km. By pythagoras theorem, the shortest distance between point O and F is √2 km.