JAMIA 2022 — Reasoning PYQ

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Question

JAMIA 2022 — Reasoning PYQ

JAMIA | Reasoning | 2022

I am facing south, I turn right and walk 20m. Then I turn right again and walk 10 m. Then I turn left and walk 10 m and then turning right walk 20 m. Then I turn right again and walk 60 m. In which direction am I from the starting point?

Choose the correct answer:

Explanation

Movement Analysis

Initial Position: $(0, 0)$ , facing South.
Step 1: Turn Right (now facing West) and walk $20\text{ m}$ .

$\text{New Position} = (0 - 20, 0) = (-20, 0)$
Step 2: Turn Right (now facing North) and walk $10\text{ m}$ .

$\text{New Position} = (-20, 0 + 10) = (-20, 10)$
Step 3: Turn Left (now facing West) and walk $10\text{ m}$ .

$\text{New Position} = (-20 - 10, 10) = (-30, 10)$
Step 4: Turn Right (now facing North) and walk $20\text{ m}$ .

$\text{New Position} = (-30, 10 + 20) = (-30, 30)$
Step 5: Turn Right (now facing East) and walk $60\text{ m}$ .

$\text{New Position} = (-30 + 60, 30) = (30, 30)$

2. Final Direction Analysis

The final coordinates are $(30, 30)$ .

The $x$ -coordinate is positive ( $+30$ ), indicating the East direction.
The $y$ -coordinate is positive ( $+30$ ), indicating the North direction.

The point $(30, 30)$ lies in the quadrant between North and East.

Final Answer

\text{Direction} = \text{North-East}