A man is facing South. He turns 45° left, then 180° left. Which direction is he facing now?
Solution
Measure clockwise from North. Start: 180°.
left 45° → −45°; left 180° → −180°. Final = 315° = North-West.
24 questions. Each is marked with the exam level it suits. Answer, then open the step-by-step solution.
A man is facing South. He turns 45° left, then 180° left. Which direction is he facing now?
Measure clockwise from North. Start: 180°.
left 45° → −45°; left 180° → −180°. Final = 315° = North-West.
Deepak walks 30 m towards the West, turns right and walks 40 m and then turns right and walks 45 m. In which direction is Deepak now from the starting point?
30 m West → 40 m North → 45 m East.
Net movement: 15 m East and 40 m North.
So Deepak is North-East of the start.
Ritu walks 55 m towards the South, turns left and walks 45 m, turns right and walks 30 m and then turns right and walks 40 m. In which direction is Ritu now from the starting point?
55 m South → 45 m East → 30 m South → 40 m West.
Net movement: 5 m East and 85 m South.
So Ritu is South-East of the start.
One evening, Ajay was standing facing East. On which side of him did his shadow fall?
In the evening the sun is in the West, so shadows fall towards the East.
Facing East, the East is in front of him.
Nikhil walks 30 m towards the West, turns left and walks 45 m, turns left and walks 30 m and then turns right and walks 50 m. How far is Nikhil from the starting point?
30 m West → 45 m South → 30 m East → 50 m South.
Net movement: 95 m South.
Distance = 95 m.
A signboard arrow points South. It is rotated 135° anticlockwise 4 times. In which direction does it point now?
Total rotation = 4 × 135° = 540° anticlockwise.
Final direction = North.
Sneha walks 25 m towards the South, turns left and walks 20 m, turns right and walks 15 m and then turns right and walks 50 m. How far and in which direction is Sneha from the starting point?
25 m South → 20 m East → 15 m South → 50 m West.
Net movement: 30 m West and 40 m South.
Distance = √(30² + 40²) = 50 m, towards the South-West.
A signboard arrow points West. It is rotated 90° anticlockwise 6 times. In which direction does it point now?
Total rotation = 6 × 90° = 540° anticlockwise.
Final direction = East.
A signboard arrow points West. It is rotated 45° anticlockwise 2 times. In which direction does it point now?
Total rotation = 2 × 45° = 90° anticlockwise.
Final direction = South.
One morning, Ravi was standing facing South. On which side of him did his shadow fall?
In the morning the sun is in the East, so shadows fall towards the West.
Facing South, the West is to his right.
Ravi walks 45 m towards the East, turns right and walks 45 m, turns right and walks 45 m and then turns right and walks 55 m. How far is Ravi from the starting point?
45 m East → 45 m South → 45 m West → 55 m North.
Net movement: 10 m North.
Distance = 10 m.
Point A is 35 m West of point D. Point E is 20 m North of point A. Point B is 25 m North of point E. In which direction is point B from point D?
Place D at (0, 0). Then A = (−35, 0), E = (−35, 20), B = (−35, 45).
B is at (−35, 45), which is North-West of D.
Point B is 35 m East of point D. Point C is 35 m West of point B. Point A is 35 m North of point C. In which direction is point A from point D?
Place D at (0, 0). Then B = (35, 0), C = (0, 0), A = (0, 35).
A is at (0, 35), which is North of D.
One evening, Arun was standing facing West. On which side of him did his shadow fall?
In the evening the sun is in the West, so shadows fall towards the East.
Facing West, the East is behind him.
Tanvi walks 15 m towards the East, turns right and walks 10 m, turns right and walks 60 m and then turns right and walks 10 m. How far is Tanvi from the starting point?
15 m East → 10 m South → 60 m West → 10 m North.
Net movement: 45 m West.
Distance = 45 m.
A man is facing South. He turns right, then 180° left. Which direction is he facing now?
Measure clockwise from North. Start: 180°.
right 90° → +90°; left 180° → −180°. Final = 90° = East.
A man is facing South. He turns left, then 45° left. Which direction is he facing now?
Measure clockwise from North. Start: 180°.
left 90° → −90°; left 45° → −45°. Final = 45° = North-East.
Point A is 35 m West of point C. Point E is 10 m North of point A. Point D is 30 m South of point E. In which direction is point D from point C?
Place C at (0, 0). Then A = (−35, 0), E = (−35, 10), D = (−35, −20).
D is at (−35, −20), which is South-West of C.
A signboard arrow points East. It is rotated 90° anticlockwise 2 times. In which direction does it point now?
Total rotation = 2 × 90° = 180° anticlockwise.
Final direction = West.
Suresh walks 20 m towards the East, turns left and walks 15 m, turns left and walks 60 m and then turns right and walks 45 m. In which direction is Suresh now from the starting point?
20 m East → 15 m North → 60 m West → 45 m North.
Net movement: 40 m West and 60 m North.
So Suresh is North-West of the start.
Kavita walks 15 m towards the West, turns right and walks 55 m and then turns right and walks 45 m. In which direction is Kavita now from the starting point?
15 m West → 55 m North → 45 m East.
Net movement: 30 m East and 55 m North.
So Kavita is North-East of the start.
A man is facing West. He turns right, then 135° left, then 45° right. Which direction is he facing now?
Measure clockwise from North. Start: 270°.
right 90° → +90°; left 135° → −135°; right 45° → +45°. Final = 270° = West.
Point A is 35 m West of point B. Point D is 40 m North of point A. Point E is 20 m West of point D. In which direction is point E from point B?
Place B at (0, 0). Then A = (−35, 0), D = (−35, 40), E = (−55, 40).
E is at (−55, 40), which is North-West of B.
One morning, Arun was standing facing West. On which side of him did his shadow fall?
In the morning the sun is in the East, so shadows fall towards the West.
Facing West, the West is in front of him.
These are original practice questions written by Target Campus in the pattern, syllabus and difficulty of IPMAT Indore, IPMAT Rohtak, JIPMAT, NPAT and SET. They are not previous-year papers.