Q1
What is the horizontal distance (in km) travelled by him?
Answer: B
The path travelled by Bhanu is as shown below.
∴ Horizontal distance = 6 + 3 = 9 km
Hence, option (b).
PE 2 - Direction Sense
Answer each question to see the solution straight away. Use the keyboard to move faster.
Answer the next 4 questions based on the information given below:
Bhanu travels 6 km towards the west from his office, then travels 8 km towards the north, followed by 3 km towards the west and finally 4 km towards the north.
Q2
What is the vertial distance (in km) travelled by him?
Answer: C
Consider the solution for the first question of this set.
∴ Vertical distance = 8 + 4 = 12 km
Hence, option (c).
Q3
What is the distance (in km) between his starting point and end point?
Answer: D
Consider the solution for the first question of this set.
∴ Effective horizontal distance travelled = 6 + 3 = 9 km
∴ Effective vertical distance travelled = 8 + 4 = 12 km
∴ Distance between starting and end point = = 15 kms.
Hence, option (d).
Q4
In which direction is end point w.r.t. starting point?
Answer: D
Consider the solution for the first question of this set.
End point is towards north-west of the starting point.
Hence, option (d).
Q5
C is to the west of E who is to the south of D. A is to the north of B who is to the west of D. In which direction is E with respect to A?
Answer: B
The position of the points is as shown below:
Thus, E is to the south-east of A.
Hence, option (b).
Answer the next 3 questions based on the information given below:
A is 12 kms to the west of B. C is 8 kms to the north of A. D is 6 kms to the west of C. E is 5 kms to the south of B.
Q6
Where is E w.r.t. D?
Answer: B
The position of the various people is as shown below:
Hence, E is to the South-east of D.
Hence, option (b).
Q7
How far (in km) is D away from A?
Answer: E
Consider the solution to the first question of this set.
From the figure: DA2 = 62 + 82 = 36 + 64 = 100
∴ DA = 10 km
Hence, option (e).
Q8
How far (in km) is D away from E?
Answer: C
Consider the solution to the first question of this set.
From the figure: DE2 = 182 + 132 = 324 + 169 = 493
∴ DA = √493 km
Hence, option (c).
Answer the next 2 questions based on the information given below:
A person walks towards the north, then moves to the right, then moves towards the north again. Now, the person moves towards the west, then north and finally takes a right turn again. What is the direction of the person w.r.t. the original position?
Q9
In which direction is the person facing now?
Answer: C
The path of the person can be as shown below:
∴ The person is finally facing towards east.
Hence, option (c).
Q10
Where is the person now w.r.t his starting position. Assume that the person travels an equal distance at each step
Answer: A
Consider the solution to first question of this set.
Distance travelled in east direction is same as distance travelled in west direction.
∴ Effective horizontal distance travelled is 0.
∴ The person is exactly north of the starting point.
Hence, option (a).
Q11
One evening Suma and her friend Rama are standing apposite each other, Suma found that her shadow is falling towards her right which direction is Rama facing?
Answer: A
In the evening, the sun is in the west, so the shadow of an object falls towards the east.
Since Suma’s shadow falls towards his right, her right is towards the east.
∴ Suma is facing the north.
∴ Rama whos is facing in opposite direction of Suma is facing south.
Hence, option (a).
Q12
One evening, two friends Riya and Priya, were talking to each other with their backs towards each other, sitting in a park. If Riya’s shadow was exactly to the left of her, then which direction was Priya facing?
Answer: E
In the evening, the sun is in the west, so the shadow of an object falls towards the east.
Since Riya’s shadow falls towards left right, her left is towards the east.
∴ Riya is facing the south.
∴ Priya who is facing in opposite direction to Riya is facing north.
Hence, option (e).
Q13
4 members of a family were sitting around a square table in the garden, one on each side of the table, in the morning and having breakfast. All of them were facing towards the centre of the table. Yash’s shadow fell exactly to his right side. If Samarth is sitting on the side of the table, which is to the right of Yash, then which direction is Samarth facing?
Answer: A
In the morning, the sun is in the east, so the shadow of an object falls towards the west.
Since Yash’s shadow falls towards his right, his right is towards the west.
∴ Yash is facing the south.
∴ Samarth, who is sitting on the right side of Yash, is facing the east.
Hence, option (a).
Q14
A clock is so placed that at 3 p.m. the minute hand points towards North-West. In which direction does the hour hand point at 9 a.m.?
Answer: E
When the clock is position upright, at 3 p.m., the minute hand points towards North.
Since here the minute hand is pointing towards North-west, it means that the clock is rotated 45° anti-clockwise.
∴ At 9 a.m. the hour hand will point towards South-west.
Hence, option (e).
Q15
When a watch shows 3:45, the minute hand points towards East. When the watch shows 6 o’clock in what direction will the hour hand point?
Answer: C
When the clock is position upright, at 3:45, the minute hand points towards West.
Since here the minute hand is pointing towards East, it means that the clock is rotated 180°.
∴ At 6 O’clock the hour hand will point towards South.
Hence, option (c).