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I am standing at the centre of a circular field. I go down south to the edge of the field and then turning left I walk along the boundary of the field equal to three-eighth of its length. Then I turn west and go right across to the opposite point on the boundary. In which direction am I from the starting point?
  • a)
    North-west             
  • b)
    North          
  • c)
    South-west             
  • d)
    West
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
I am standing at the centre of a circular field. I go down south to th...


The movements are as indicated in figure (O to A, A to B and B to C). Clearly, C lies to the south-west of O.

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I am standing at the centre of a circular field. I go down south to th...
Given Information:
- I am standing at the center of a circular field.
- I go down south to the edge of the field.
- Turning left, I walk along the boundary of the field equal to three-eighth of its length.
- Then I turn west and go right across to the opposite point on the boundary.

To find:
- In which direction am I from the starting point?

Solution:
- Let's assume that the circular field is divided into 8 equal parts.
- As I walk along the boundary of the field equal to three-eighth of its length, I cover (3/8)*8 = 3 parts of the field.
- After walking three parts, I am standing at the western edge of the field.
- Now, I turn west and go right across to the opposite point on the boundary. This means I cross the field from west to east and reach the eastern edge of the field.
- As I started from the center and covered the southern part of the field, I must be located in the south-west direction from the starting point.
- Therefore, the correct answer is option 'C' - South-west.

Conclusion:
- I started from the center of the circular field and walked along the boundary for three-eighth of its length.
- Then, I crossed the field from west to east and reached the eastern edge of the field.
- Hence, I am located in the south-west direction from the starting point.
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