A bank employee drives 10 km towards South from her house and turns to her left and drives another 20 km. She again turns left and drives 40 km, then she turns to her right and drives for another 5 km. She again turns to her right and drives another 30 km to reach her bank where she works. What is the shortest distance between her bank and her house ?

Correct Option: (b) 25 km

Let's trace the bank employee's movements using a Cartesian coordinate system. Let her house be at the origin (0, 0). 1. She drives 10 km towards South: Position = (0, -10). 2. Turns to her left (facing East) and drives 20 km: Position = (20, -10). 3. Turns left again (facing North) and drives 40 km: Position = (20, -10 + 40) = (20, 30). 4. Turns to her right (facing East) and drives 5 km: Position = (20 + 5, 30) = (25, 30). 5. Turns to her right (facing South) and drives 30 km to reach her bank: Position = (25, 30 - 30) = (25, 0). Now, her house is at (0, 0) and her bank is at (25, 0). The shortest distance between her house and her bank is the straight-line distance between (0, 0) and (25, 0), which is 25 - 0 = 25 km. Let's check the options: (a) 20 km, (b) 25 km, (c) 30 km, (d) 35 km. Option (b) is 25 km.