Match the angles under List-I (whole circle bearings) with their corresponding values under List-II (quadrantal bearings).

🧭 Understanding Bearing Systems

This question requires converting from the Whole Circle Bearing (WCB) system to the Quadrantal Bearing (QB) or Reduced Bearing (RB) system. Here are the key differences and conversion rules:

• Whole Circle Bearing (WCB): The bearing is measured clockwise from North (0°), ranging from 0° to 360°.
• Quadrantal Bearing (QB): The bearing is measured from either North or South (whichever is closer) towards East or West. The angle is always between 0° and 90° and is accompanied by quadrant letters (NE, SE, SW, NW).

🔬 Step-by-Step Conversion

Let's convert each WCB from List-I to its corresponding QB.

P. WCB = 144° 30'

• Quadrant: This angle is between 90° and 180°, which is the South-East (SE) quadrant.
• Calculation: QB = 180° - WCB = 180° - 144° 30' = 35° 30'.
• Result: S 35° 30' E. This matches item 4 in List-II.

Q. WCB = 215° 30'

• Quadrant: This angle is between 180° and 270°, which is the South-West (SW) quadrant.
• Calculation: QB = WCB - 180° = 215° 30' - 180° = 35° 30'.
• Result: S 35° 30' W. This matches item 3 in List-II.

R. WCB = 125° 30'

• Quadrant: This angle is between 90° and 180°, which is the South-East (SE) quadrant.
• Calculation: QB = 180° - WCB = 180° - 125° 30' = 54° 30'.
• Result: S 54° 30' E. This matches item 1 in List-II.

S. WCB = 324° 30'

• Quadrant: This angle is between 270° and 360°, which is the North-West (NW) quadrant.
• Calculation: QB = 360° - WCB = 360° - 324° 30' = 35° 30'.
• Result: N 35° 30' W. This matches item 2 in List-II.

📊 Final Matching

Based on the calculations, the correct pairs are:

This corresponds to the sequence P-4, Q-3, R-1, S-2, which is option D.