Concept:
Direction sense questions test the ability to track movements and determine the final position relative to the starting point. While solving such problems, it is helpful to imagine the directions on a compass or draw a simple diagram.
The four primary directions are:
- North (N)
- South (S)
- East (E)
- West (W)
Important rules:
- When a person is facing South, turning left leads to the East.
- When a person is facing East, turning left leads to the North.
Step 1: Start from the initial position.
Assume the man starts from point
A.
He first walks:
\[
5 \text{ km South}
\]
He reaches point
B.
Step 2: First left turn.
When a person is facing
South, a
left turn leads to the
East.
He walks:
\[
3 \text{ km East}
\]
He reaches point
C.
Step 3: Second left turn.
Now he is facing
East. Turning
left from East leads to the
North.
He walks:
\[
5 \text{ km North}
\]
He reaches point
D.
Step 4: Determine the final position relative to the starting point.
The movements were:
\[
5 \text{ km South}
\]
\[
3 \text{ km East}
\]
\[
5 \text{ km North}
\]
The
5 km South and
5 km North cancel each other out.
Therefore, the final position is simply:
\[
3 \text{ km East of the starting point}
\]
Step 5: Selecting the correct answer.
Thus, the man is located to the:
\[
\boxed{\text{East}}
\]
of the starting point.