Q1): A person faces North and walks 9 m. He turns right and walks 12 m. He turns right again and walks 4 m. What is the shortest distance from the starting point?
A) 12 m
B) 13 m
C) 14 m
D) 15 m
Answer: B) 13 m
Explanation:
- Step 1: Net North = 9 − 4 = 5 m.
- Step 2: Net East = 12 m.
- Step 3: Distance = √(12 × 12 + 5 × 5) = √(144 + 25) = √169.
- Step 4: √169 = 13 m.
- Final: Option B is correct.
Q2): A person faces North and walks 15 m. He turns right and walks 30 m. He turns right and walks 8 m. He turns right and walks 6 m. What is the shortest distance from the starting point?
A) 24 m
B) 25 m
C) 26 m
D) 23 m
Answer: B) 25 m
Explanation:
- Step 1: Net East = 30 − 6 = 24 m.
- Step 2: Net North = 15 − 8 = 7 m.
- Step 3: Distance = √(24 × 24 + 7 × 7) = √(576 + 49) = √625.
- Step 4: √625 = 25 m.
- Final: Option B is correct.
Q3): P walks 9 m North, then 12 m East, then 4 m South. Q walks 13 m North, then 6 m East (both start from same point). What is the distance between P and Q?
A) 8 m
B) 10 m
C) 12 m
D) 14 m
Answer: B) 10 m
Explanation:
- Step 1: P net = 12 m East and (9 − 4) = 5 m North.
- Step 2: Q net = 6 m East and 13 m North.
- Step 3: Difference = 6 m East (12 − 6) and 8 m South (13 − 5).
- Step 4: Distance = √(6 × 6 + 8 × 8) = √(36 + 64) = √100 = 10 m.
- Final: Option B is correct.
Q4): Using the same data as Q3, in which direction is P from Q?
A) North-East
B) South-East
C) North-West
D) South-West
Answer: B) South-East
Explanation:
- Step 1: P is 12 m East and 5 m North from start.
- Step 2: Q is 6 m East and 13 m North from start.
- Step 3: From Q to P: move 6 m East and 8 m South.
- Step 4: East + South gives South-East.
- Final: Option B is correct.
Q5): A person faces South and walks 12 m. He turns left and walks 5 m. He turns left and walks 12 m. He turns right and walks 9 m. How far is he from the starting point?
A) 13 m
B) 14 m
C) 15 m
D) 16 m
Answer: B) 14 m
Explanation:
- Step 1: South 12.
- Step 2: Left from South is East → +5 East.
- Step 3: Left from East is North → +12 North (South 12 gets cancelled).
- Step 4: Right from North is East → +9 East, net East = 14 m.
- Final: Option B is correct.
Q6): A person faces West. He turns clockwise 90 degrees and walks 8 m. Then anticlockwise 90 degrees and walks 15 m. Then clockwise 180 degrees and walks 8 m. In which direction is he now from the starting point?
A) North-East
B) North-West
C) South-East
D) South-West
Answer: B) North-West
Explanation:
- Step 1: Clockwise 90 from West → North; walk 8 m North.
- Step 2: Anticlockwise 90 from North → West; walk 15 m West.
- Step 3: Clockwise 180 from West → East; walk 8 m East.
- Step 4: Net = 7 m West and 8 m North → North-West.
- Final: Option B is correct.
Q7): A person is facing South-West. In which direction will his right hand point?
A) North-East
B) North-West
C) South-East
D) South-West
Answer: B) North-West
Explanation:
- Step 1: Facing South-West means he faces between South and West.
- Step 2: Right side is a 90-degree clockwise direction from where he faces.
- Step 3: Clockwise from South-West gives North-West.
- Step 4: So his right hand points North-West.
- Final: Option B is correct.
Q8): A person walks 30 m East, then 21 m North, then 10 m West. What is the shortest distance from the starting point?
A) 28 m
B) 29 m
C) 30 m
D) 31 m
Answer: B) 29 m
Explanation:
- Step 1: Net East = 30 − 10 = 20 m.
- Step 2: Net North = 21 m.
- Step 3: Distance = √(20 × 20 + 21 × 21) = √(400 + 441) = √841.
- Step 4: √841 = 29 m.
- Final: Option B is correct.
Q9): A faces East, walks 12 m, turns left and walks 16 m. B faces North, walks 10 m, turns right and walks 20 m. What is the distance between A and B?
A) 9 m
B) 10 m
C) 11 m
D) 12 m
Answer: B) 10 m
Explanation:
- Step 1: A ends with 12 m East and 16 m North.
- Step 2: B ends with 20 m East and 10 m North.
- Step 3: Difference = 8 m East and 6 m South.
- Step 4: Distance = √(8 × 8 + 6 × 6) = √(64 + 36) = √100 = 10 m.
- Final: Option B is correct.
Q10): A person walks 15 m North, then 30 m East, then 8 m South, then 6 m West. In which direction is the starting point from his final position?
A) North-East
B) North-West
C) South-East
D) South-West
Answer: D) South-West
Explanation:
- Step 1: Net East from start = 30 − 6 = 24 m.
- Step 2: Net North from start = 15 − 8 = 7 m.
- Step 3: Start is 24 m West and 7 m South from the final position.
- Step 4: West + South gives South-West.
- Final: Option D is correct.
Q11): A person is facing North. He turns 90 degrees clockwise, then 180 degrees anticlockwise, then 270 degrees clockwise, then 90 degrees anticlockwise. What is his final direction?
A) North
B) East
C) South
D) West
Answer: B) East
Explanation:
- Step 1: North → 90 clockwise = East.
- Step 2: East → 180 anticlockwise = West.
- Step 3: West → 270 clockwise = South.
- Step 4: South → 90 anticlockwise = East.
- Final: Option B is correct.
Q12): Using the same data as Q9, in which direction is B from A?
A) North-East
B) South-East
C) South-West
D) North-West
Answer: B) South-East
Explanation:
- Step 1: A is at (12 East, 16 North).
- Step 2: B is at (20 East, 10 North).
- Step 3: From A to B: move 8 m East and 6 m South.
- Step 4: East + South gives South-East.
- Final: Option B is correct.
Q13): A person walks 24 m North, turns right and walks 7 m, turns right and walks 24 m, turns right and walks 7 m. Which direction is he facing now?
A) North
B) East
C) South
D) West
Answer: D) West
Explanation:
- Step 1: Start facing North.
- Step 2: After 1st right turn → East.
- Step 3: After 2nd right turn → South; after 3rd right turn → West.
- Step 4: Final facing direction is West.
- Final: Option D is correct.
Q14): A is 12 m West of B. C is 5 m North of A. D is 12 m East of C. E is 5 m South of D. Where is E with respect to B?
A) 5 m North of B
B) 5 m South of B
C) At the same point as B
D) 12 m East of B
Answer: C) At the same point as B
Explanation:
- Step 1: From B go 12 m West to reach A.
- Step 2: From A go 5 m North to reach C.
- Step 3: From C go 12 m East to reach D (same vertical line as B).
- Step 4: From D go 5 m South to reach E (back to B).
- Final: Option C is correct.
Q15): A person faces North and walks 50 m. He turns right and walks 20 m. He turns right and walks 15 m. He turns right and walks 8 m. What is the shortest distance from the starting point?
A) 36 m
B) 37 m
C) 38 m
D) 39 m
Answer: B) 37 m
Explanation:
- Step 1: Net East = 20 − 8 = 12 m.
- Step 2: Net North = 50 − 15 = 35 m.
- Step 3: Distance = √(12 × 12 + 35 × 35) = √(144 + 1225) = √1369.
- Step 4: √1369 = 37 m.
- Final: Option B is correct.
Q16): A person starts facing North. Commands given: Right, Left, Right. But he does the opposite each time (Right means Left, Left means Right). What is his final direction?
A) North
B) East
C) South
D) West
Answer: D) West
Explanation:
- Step 1: Given: Right, Left, Right. Actual: Left, Right, Left.
- Step 2: North → Left = West.
- Step 3: West → Right = North.
- Step 4: North → Left = West.
- Final: Option D is correct.
Q17): A and B start from the same point. A walks 16 m North then 12 m East. B walks 8 m North then 18 m East. What is the distance between A and B?
A) 8 m
B) 9 m
C) 10 m
D) 11 m
Answer: C) 10 m
Explanation:
- Step 1: A ends with 12 m East and 16 m North.
- Step 2: B ends with 18 m East and 8 m North.
- Step 3: Difference = 6 m East and 8 m South.
- Step 4: Distance = √(6 × 6 + 8 × 8) = √(36 + 64) = √100 = 10 m.
- Final: Option C is correct.
Q18): A person faces East and walks 25 m. He turns left and walks 20 m. He turns left and walks 10 m. He turns left and walks 12 m. What is the shortest distance from the starting point?
A) 16 m
B) 17 m
C) 18 m
D) 19 m
Answer: B) 17 m
Explanation:
- Step 1: Net East = 25 − 10 = 15 m.
- Step 2: Net North = 20 − 12 = 8 m.
- Step 3: Distance = √(15 × 15 + 8 × 8) = √(225 + 64) = √289.
- Step 4: √289 = 17 m.
- Final: Option B is correct.
Q19): A person faces North and walks 50 m. He turns right and walks 20 m. He turns right and walks 10 m. He turns right and walks 11 m. What is the shortest distance from the starting point?
A) 40 m
B) 41 m
C) 42 m
D) 43 m
Answer: B) 41 m
Explanation:
- Step 1: Net North = 50 − 10 = 40 m.
- Step 2: Net East = 20 − 11 = 9 m.
- Step 3: Distance = √(40 × 40 + 9 × 9) = √(1600 + 81) = √1681.
- Step 4: √1681 = 41 m.
- Final: Option B is correct.
Q20): A person faces South and walks 25 m. He turns right and walks 20 m. He turns right and walks 9 m. He turns right and walks 8 m. How far is he from the starting point and in which direction?
A) 20 m South-West
B) 20 m South-East
C) 16 m South-West
D) 12 m South-West
Answer: A) 20 m South-West
Explanation:
- Step 1: South 25 and North 9 gives net South = 25 − 9 = 16 m.
- Step 2: West 20 and East 8 gives net West = 20 − 8 = 12 m.
- Step 3: Distance = √(12 × 12 + 16 × 16) = √(144 + 256) = √400 = 20 m.
- Step 4: West + South gives South-West direction.
- Final: Option A is correct.