Direction Sense Test MCQs for UPPSC (UP) Exam

Steps to solve the problem:
1. Initial Movement:
- Reena walked East from point A for 10 feet.
- This means she moved 10 feet to the right.
2. First Turn:
- Reena turned to the right and walked 3 feet.
- This forms a right-angled triangle with 10 feet as the base and 3 feet as the perpendicular.
3. Calculating the Hypotenuse:
- Using the Pythagorean theorem (a^2 + b^2 = c^2), where a = 10 feet, b = 3 feet.
- Calculating the hypotenuse, we get c = √(10^2 + 3^2) = √(100 + 9) = √109 ≈ 10.44 feet.
4. Second Turn:
- Reena turned to the right again and walked 14 feet.
- This creates a new right-angled triangle with the previous hypotenuse as the base and 14 feet as the perpendicular.
5. Calculating the Final Distance:
- Using the Pythagorean theorem again, where a = 10.44 feet (previous hypotenuse), b = 14 feet.
- Calculating the final distance, we get c = √(10.44^2 + 14^2) = √(108.9 + 196) = √304.9 ≈ 17.47 feet.
Therefore, Reena is approximately 17.47 feet away from point A after walking 10 feet East, then 3 feet right, and finally 14 feet right again. So, the closest option is 5 feet (option B).

Explanation:

Given Information:
- B's house is in the east of A's house but in the north of C's house.
- C's house is in the west of D's house.

Analysis:
- A -> B -> C -> D (clockwise direction)
- B's house is in the east of A's house and in the north of C's house, which means C's house is to the south of B's house.
- C's house is in the west of D's house, which means D's house is to the east of C's house.

Conclusion:
- Based on the given information, the direction of D's house with respect to A's house would be South-East.
- Therefore, the correct answer is option A) South-East.

Explanation:

To determine the direction in which Suresh was facing, we need to analyze the position of the shadow in relation to the pole and Suresh himself.

1. Position of the shadow:
The shadow fell exactly to Suresh's right. This means that the pole must be located to the east of Suresh. In the northern hemisphere, shadows move in the opposite direction of the sun. So, if the shadow is to the right of Suresh, it indicates that the sun is in the west.

2. Sun's position:
Since the sun rises in the east, if the pole casts a shadow to the right of Suresh, it implies that the sun is already in the west. This means that Suresh is facing towards the west.

3. Direction faced by Suresh:
If Suresh is facing towards the west, the opposite direction he is facing would be the east.

Therefore, based on the given information, Suresh is facing towards the east.

To find the direction in which P should go, let's analyze the given information step by step.

Step 1: P started from his house towards west and walked a distance of 25 m.
- This means P initially moved in the west direction and covered a distance of 25 m.

Step 2: P turned to the right and walked 10 m.
- Since P turned to the right, his new direction would be north.
- P walked 10 m in the north direction.

Step 3: P turned to the right again and walked 15 m.
- Since P turned to the right from the north direction, his new direction would be east.
- P walked 15 m in the east direction.

Step 4: P is to turn right at 135 degrees and cover 30 m.
- To find the new direction, we need to add 135 degrees to the current direction, which is east.
- Adding 135 degrees to east gives us a direction of south-east.

So, the final direction in which P should go is south-east.

Explanation:
- P initially started towards the west.
- Then P turned right twice, which means a total of 180 degrees (90 degrees each turn).
- After that, P turned right at 135 degrees, which further changed the direction.
- Combining the initial west direction with the subsequent turns, we get a final direction of south-east.

Therefore, the correct answer is option C) South-West.