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Logical Reasoning
hardQ. No. 19772

A robot executes these moves: 30 km South; then 16 km West; then 18 km North; then 7 km East. What is its final bearing from the origin?

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ANorth-East
BSouth-West
CNorth-West
DSouth-East
Correct Answer: South-WestYour Answer: B

Explanation

| Step 2: After cancellation, final coordinates are (-9,-12). | Step 3: The signs of (-9,-12) place the final point in the South-West direction. | Answer: Option B — South-West.

Important Notes

  • Draw a north arrow before solving and take East as positive x, West as negative x, North as positive y, and South as negative y. |
  • Combine opposite movements before calculating distance: cancel East with West and North with South. |
  • Decide the final direction from the signs of the remaining horizontal and vertical displacements. For example, positive x and negative y indicate South-East. |
  • Keep all distances in one unit and verify the selected option by reconstructing the final coordinates.

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