CA Foundation P3 · Chapter 10
Direction Tests MCQs with Answers
8 multiple-choice questions on Direction Tests for CA Foundation P3 Quantitative Aptitude. Try each one before revealing the answer and explanation.
Practise this chapter interactivelyQuestion 1
Ravi walks 6 km towards North, then turns right and walks 8 km. How far is he from his starting point?
- A) 14 km
- B) 10 km
- C) 2 km
- D) 12 km
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Answer: B) 10 km
Turning right from North means facing East. His displacement is 6 km North and 8 km East, so distance = √(6² + 8²) = √100 = 10 km. Adding the distances (14 km) gives the path length, not the distance from the start.
Question 2
A man is facing East. He turns 90° clockwise and then 180° anticlockwise. Which direction is he facing now?
- A) North
- B) South
- C) West
- D) East
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Answer: A) North
From East, a 90° clockwise turn makes him face South. A 180° turn from South (in either sense) makes him face North.
Question 3
Meena walks 5 km South, turns left and walks 3 km, then turns left again and walks 9 km. Where is she now with respect to her starting point?
- A) 5 km South-East
- B) 17 km North-East
- C) 5 km North-West
- D) 5 km North-East
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Answer: D) 5 km North-East
Facing South, a left turn means facing East (3 km). Facing East, a left turn means facing North (9 km). Net movement: 9 − 5 = 4 km North and 3 km East. Distance = √(16 + 9) = 5 km in the North-East direction.
Question 4
Early in the morning, after sunrise, Arjun was standing in a field and his shadow fell exactly to his left. Which direction was he facing?
- A) South
- B) North
- C) East
- D) West
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Answer: B) North
In the morning the sun is in the East, so shadows fall towards the West. If West is on his left, he must be facing North (facing North, left is West).
Question 5
Point P is 4 m East of point Q, and point R is 3 m North of point Q. What is the position of R with respect to P?
- A) 5 m North-East
- B) 7 m North-West
- C) 5 m South-West
- D) 5 m North-West
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Answer: D) 5 m North-West
Taking Q as origin, P = (4, 0) and R = (0, 3). From P to R the movement is 4 m West and 3 m North. Distance = √(16 + 9) = 5 m, direction North-West.
Question 6
In a new system of directions, South-East is called North and North-East is called West. What will West be called?
- A) North-East
- B) South-West
- C) South-East
- D) North
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Answer: C) South-East
Measure directions clockwise from North: South-East = 135° becomes North = 0°, a rotation of 135° anticlockwise. Check: North-East = 45° becomes 45° − 135° = −90° = 270°, which is West. Applying the same rotation, West = 270° becomes 270° − 135° = 135°, which is South-East.
Question 7
Ram starts walking West and covers 10 m, turns left and walks 10 m, turns left again and walks 10 m, and finally turns right and walks 5 m. Where is he now from his starting point?
- A) 15 m South
- B) 15 m North
- C) 5 m South
- D) 25 m South
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Answer: A) 15 m South
West 10 m → (−10, 0). Left from West is South: 10 m → (−10, −10). Left from South is East: 10 m → (0, −10). Right from East is South: 5 m → (0, −15). He is 15 m due South of the start.
Question 8
Two cars start from the same point. Car X travels 12 km East and then 5 km North. Car Y travels 4 km West and then 7 km South. What is the straight-line distance between the two cars?
- A) 28 km
- B) 16 km
- C) 13 km
- D) 20 km
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Answer: D) 20 km
Taking the start as origin, X is at (12, 5) and Y at (−4, −7). Horizontal gap = 12 − (−4) = 16 km, vertical gap = 5 − (−7) = 12 km. Distance = √(16² + 12²) = √400 = 20 km. 13 km is only Car X's distance from the start.