Sia starts from Point A and drives 10.7 km towards the north. She then takes a right turn, drives 8.2 km, turns right and drives 14.3 km. She then takes a right turn and drives 5.4 km. Further she takes a right turn, drives 3.2 km and takes a final left turn, drives 2.8km and stops at Point P. How far and towards which direction should she now drive in order to reach Point A again? (All turns are 90 degree turns only) 

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  1. 0.6 km, north
  2. 0.4 km, west
  3. 0.4 km, north
  4. 0.8 km, north

Answer (Detailed Solution Below)

Option 3 : 0.4 km, north
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From the given information:
Step 1: Sia starts from Point A and drives 10.7 km towards the north. She then takes a right turn, drives 8.2 km, turns right and drives 14.3 km.
                F2 Madhuri Engineering 19.01.2023 D53
Step 2: She then takes a right turn and drives 5.4 km. Further she takes a right turn, drives 3.2 km
                  F2 Madhuri Engineering 19.01.2023 D54
Step 3: And takes a final left turn, drives 2.8km and stops at Point P.
                   F2 Madhuri Engineering 19.01.2023 D55

Distance from point P to A = 14.3 - (10.7 + 3.2) ⇒ 14.3 - 13.9 = 0.4km

From the diagram, we can see that Sia have to drive 0.4km towards north to reach Point A.

Hence, the correct answer is "option (3)".

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