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All questions of Chapter 10: Direction Tests for CA Foundation Exam

Reena walked from A to B in the East 10 feet. Then she turned to the right and walked 3 feet. Again she turned to the right and walked 14 feet. How far is she from A?
  • a)
    4 feet
  • b)
    5 feet
  • c)
    24 feet
  • d)
    27 feet
Correct answer is option 'B'. Can you explain this answer?

Jatin Nambiar answered
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).

Four friends A, B, C and D live in a same locality. The house of B is in the east of A's house but in the north of C's house. The house of C is in the west of D's house. D's house is in which direction of A's house?
  • a)
    South-East
  • b)
    North-East
  • c)
    East
  • d)
    Data is inadequate
Correct answer is option 'A'. Can you explain this answer?

Aravind Pillai answered
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.

One morning sujata started to walk towards the Sun. After covering some distance she turned to right then again to the right and after covering some distance she again turns to the right. Now in which direction is she facing?
  • a)
    North
  • b)
    South
  • c)
    North-East
  • d)
    South-West
Correct answer is option 'A'. Can you explain this answer?

Juhi Dasgupta answered
Answer:

The direction she is facing is North.

Explanation:

To explain the answer, we can break the given information into the following steps:

Step 1: Sujata started to walk towards the Sun.

This means that Sujata was facing East at the beginning of her walk.

Step 2: After covering some distance, she turned to the right.

This indicates that Sujata made a 90-degree turn to her right. So, now she is facing South.

Step 3: Again, after covering some distance, she turned to the right.

This indicates that Sujata made another 90-degree turn to her right. So, now she is facing West.

Step 4: Once again, after covering some distance, she turned to the right.

This indicates that Sujata made another 90-degree turn to her right. So, now she is facing North.

Thus, we can conclude that Sujata is facing North after making three right turns from her initial direction of facing East. Hence, the correct answer is option 'A' - North.

One morning after sunrise, Suresh was standing facing a pole. The shadow of the pole fell exactly to his right. To which direction was he facing?
  • a)
    East
  • b)
    South
  • c)
    West
  • d)
    Data is inadequate
Correct answer is option 'B'. Can you explain this answer?

Aravind Pillai answered
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.

K is 40 m South-West of L. If M is 40 m South-East of L, then M is in which direction of K?
  • a)
    East
  • b)
    West
  • c)
    North-East
  • d)
    South
Correct answer is option 'A'. Can you explain this answer?

Juhi Dasgupta answered
K is 40 m South-West of L. If M is 40 m South-East of L, then M is in which direction of K?

To determine the direction of M from K, we need to analyze the given information about their respective positions relative to L. Let's break down the problem step by step:

1. Position of K:
- K is 40 m South-West of L.

2. Position of M:
- M is 40 m South-East of L.

Now, let's analyze the directions:

1. South-West:
- South-West is a combination of two directions: South and West.
- South is a downward direction.
- West is a leftward direction.

2. South-East:
- South-East is a combination of two directions: South and East.
- South is a downward direction.
- East is a rightward direction.

From the given information, we can conclude the following:

1. K is located South-West of L, meaning K is positioned downward and towards the left of L.

2. M is located South-East of L, meaning M is positioned downward and towards the right of L.

Now, let's determine the direction of M from K:

1. M is positioned downward and towards the right of L.
2. K is positioned downward and towards the left of L.

Thus, M is positioned in the East direction of K.

Therefore, the correct answer is option A) East.

Directions to Solve
Each of the following questions is based on the following information:
  1. Six flats on a floor in two rows facing North and South are allotted to P, Q, R, S, T and U.
  2. Q gets a North facing flat and is not next to S.
  3. S and U get diagonally opposite flats.
  4. R next to U, gets a south facing flat and T gets North facing flat.
Question -
Whose flat is between Q and S?
  • a)
    T
  • b)
    U
  • c)
    R
  • d)
    P
Correct answer is option 'A'. Can you explain this answer?

Aarav Sharma answered
Question Analysis:
The question provides us with the following information:
- There are six flats on a floor in two rows facing North and South.
- Q gets a North facing flat and is not next to S.
- S and U get diagonally opposite flats.
- R, next to U, gets a south facing flat.
- T gets a North facing flat.

We need to determine whose flat is between Q and S.

Solution:
To solve this question, we need to analyze the given information and make deductions based on it.

Given Information:
- Q gets a North facing flat.
- S and U get diagonally opposite flats.
- R, next to U, gets a south facing flat.
- T gets a North facing flat.

Step 1: Identifying the Possible Positions of Q and S
Since Q gets a North facing flat and is not next to S, we can determine the possible positions for Q and S as follows:
1. Q can be in the first row facing North, and S can be in the second row facing South.
2. Q can be in the second row facing North, and S can be in the first row facing South.

Step 2: Analyzing the Positions of R and U
- S and U get diagonally opposite flats. This means that if S is in the first row, U will be in the second row, and vice versa.
- R, next to U, gets a south facing flat.
Based on this information, we can determine the positions of R and U as follows:
1. If Q is in the first row and S is in the second row, then R will be in the second row next to U.
2. If Q is in the second row and S is in the first row, then R will be in the first row next to U.

Step 3: Analyzing the Positions of T and P
- T gets a North facing flat.
- T cannot be next to Q or S.
Based on this information, we can determine the positions of T and P as follows:
1. If Q is in the first row and S is in the second row, then T will be in the first row, and P will be in the second row.
2. If Q is in the second row and S is in the first row, then T will be in the second row, and P will be in the first row.

Answer: T
Based on the above analysis, we can conclude that T's flat is between Q and S.

Therefore, the correct answer is option 'A' - T.

If South-East becomes North, North-East becomes West and so on. What will West become?
  • a)
    North-East
  • b)
    North-West
  • c)
    South-East
  • d)
    South-West
Correct answer is option 'C'. Can you explain this answer?

Aravind Pillai answered
Solution:

To solve this question, we need to understand the given transformation rule that South-East becomes North, North-East becomes West, and so on. Based on this rule, we can find out what West will become.

Transformation Rule:

- South-East → North
- North-East → West
- West → ?
- North → South-East
- East → South-West
- South → North-West

Finding the Transformation for West:

- According to the given rule, North-East becomes West.
- Therefore, West will become the opposite of North-East, which is South-West.
- Hence, the correct answer is option C, i.e., South-East.

Final Answer:

- West will become South-East.

Ravi left home and cycled 10 km towards South, then turned right and cycled 5 km and then again turned right and cycled 10 km. After this he turned left and cycled 10 km. How many kilometers will he have to cycle to reach his home straight?
  • a)
    10 km
  • b)
    15 km
  • c)
    20 km
  • d)
    25 km
Correct answer is option 'B'. Can you explain this answer?

Ankit Ghosh answered

Understanding the problem

Ravi initially cycled 10 km towards the South, then turned right and cycled 5 km, followed by another right turn and cycling 10 km. Finally, he turned left and cycled 10 km. We need to determine how many kilometers he will have to cycle to reach his home straight.

Calculating the total distance traveled

- South: 10 km
- Right: 5 km
- Right: 10 km
- Left: 10 km

Finding the direction to the home

To find the direction Ravi needs to cycle to reach his home straight, we need to determine the remaining distance and direction from his current position.

- Ravi has cycled 10 km towards the South, 5 km to the right, and 10 km to the right again. This means he has covered 10 + 5 + 10 = 25 km in total.
- Since he still needs to cycle towards his home, which is in the opposite direction of his current position, he would have to cycle 15 km to reach his home straight.

Therefore, the correct answer is option B) 15 km.

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