Direction and distance
- Ajay is facing north. He turns 90° clockwise, then 225° anticlockwise, and then 45° clockwise. Which direction is he facing now? Answer: D. West Answer: (D) West Net turn = +90° − 225° + 45° = −90°, i.e. 90° anticlockwise. North turned 90° anticlockwise is west. 1
- Aman starts from point P and walks 5 m towards the east. He then turns left and walks 12 m. How far is he from point P? Answer: A. 13 m Answer: (A) 13 m East 5 m and then left (north) 12 m form a right angle. Distance = √(5² + 12²) = √(169) = 13 m. 1
- Sunita walks 10 km towards the south, turns left and walks 4 km, turns left again and walks 7 km, and then turns right and walks 2 km. In which direction is she now from her starting point? Answer: B. South-East Answer: (B) South-East Start (0, 0). South 10 → (0, −10). Left of south is east: 4 km → (4, −10). Left of east is nort... 1
- Ravi walks 5 km towards the north, turns right and walks 3 km, then turns right again and walks 9 km. How far and in which direction is he now from his starting point? Answer: B. 5 km, South-East Answer: (B) 5 km, South-East Take the start as (0, 0). North 5 km → (0, 5). Right = east 3 km → (3, 5). Right ag... 1
- A man is facing south. He turns 135° anticlockwise and then 90° clockwise. Which direction is he facing now? Answer: A. South-East Answer: (A) South-East From south, turning anticlockwise goes south → east → north. 90° anticlockwise = East; another... 1
- Anil walks 10 m South, turns left and walks 15 m, turns left again and walks 10 m, and then turns right and walks 5 m. How far and in which direction is he from his starting point? Answer: C. 20 m East Answer: (C) 20 m East South 10 m; left from South is East, 15 m; left from East is North, 10 m (back to the starting li... 1
- One morning after sunrise, Sita stood facing a pole. The shadow of the pole fell exactly to her right. Which direction was she facing? Answer: A. South Answer: (A) South In the morning the sun is in the East, so shadows fall towards the West. The shadow is on her right, so h... 1
- Mohan walks 6 km towards North, then turns right and walks 8 km. How far is he from his starting point? Answer: B. 10 km Answer: (B) 10 km Turning right from North means facing East. The two legs are at right angles, so distance = √(6² + 8²) =... 1
- A man is facing East. He turns 90° clockwise, then 180° anticlockwise, and then 45° clockwise. Which direction is he facing now? Answer: D. North-East Answer: (D) North-East East → 90° clockwise → South. South → 180° anticlockwise → North. North → 45° clockwise → North... 1