Q1): A person faces North and walks 5 m. He turns right and walks 6 m. Then he turns left and walks 3 m. What is the shortest distance from the starting point?
A) 8 m
B) 9 m
C) 10 m
D) 11 m
Answer: C) 10 m
Explanation:
- Step 1: After 5 m North, right turn means East → walk 6 m East.
- Step 2: From East, left turn means North → walk 3 m North.
- Step 3: Net North = 5 + 3 = 8 m; Net East = 6 m.
- Step 4: Shortest distance = √(8 × 8 + 6 × 6) = √(64 + 36) = √100 = 10 m.
- Final: Option C is correct.
Q2): A person faces West and walks 12 m. He turns left and walks 5 m. He turns left again and walks 12 m. Where is he now from the starting point?
A) 5 m North
B) 5 m South
C) 12 m South
D) 12 m North
Answer: B) 5 m South
Explanation:
- Step 1: Walk 12 m West from start.
- Step 2: Left from West is South → walk 5 m South.
- Step 3: Left from South is East → walk 12 m East (West 12 gets cancelled).
- Step 4: Only 5 m South remains.
- Final: Option B is correct.
Q3): A person walks 7 m North, then 4 m East, then 3 m South. What is the shortest distance from the starting point?
A) √18 m
B) √32 m
C) √40 m
D) √50 m
Answer: B) √32 m
Explanation:
- Step 1: Net North = 7 − 3 = 4 m.
- Step 2: Net East = 4 m.
- Step 3: Shortest distance = √(4 × 4 + 4 × 4) = √(16 + 16).
- Step 4: Distance = √32 m.
- Final: Option B is correct.
Q4): A person faces South. He turns right and walks 8 m. Then he turns left and walks 6 m. In which direction is he now from the starting point?
A) North-East
B) South-East
C) South-West
D) North-West
Answer: C) South-West
Explanation:
- Step 1: Facing South, right turn means West → walk 8 m West.
- Step 2: Now facing West, left turn means South → walk 6 m South.
- Step 3: Final position is West + South from start.
- Step 4: West + South gives South-West.
- Final: Option C is correct.
Q5): P walks 6 m East then 4 m North. Q walks 8 m North then 2 m East. What is the distance between P and Q?
A) √20 m
B) √26 m
C) √32 m
D) √34 m
Answer: C) √32 m
Explanation:
- Step 1: P is 6 m East and 4 m North from start.
- Step 2: Q is 2 m East and 8 m North from start.
- Step 3: Difference = 4 m East (6 − 2) and 4 m South (8 − 4).
- Step 4: Distance = √(4 × 4 + 4 × 4) = √(16 + 16) = √32 m.
- Final: Option C is correct.
Q6): A person is facing East. He turns right, then left, then left. What is his final direction?
A) South
B) West
C) North
D) East
Answer: C) North
Explanation:
- Step 1: Start facing East.
- Step 2: Right turn → South.
- Step 3: Left turn from South → East; left again from East → North.
- Step 4: Final direction is North.
- Final: Option C is correct.
Q7): A person walks 10 m North, 10 m East, 10 m South and 5 m West. Where is he now from the starting point?
A) 5 m East
B) 5 m West
C) 5 m North
D) 5 m South
Answer: A) 5 m East
Explanation:
- Step 1: North 10 and South 10 cancel out.
- Step 2: East 10 and West 5 gives net East = 5.
- Step 3: Net displacement is 5 m East.
- Step 4: So he is 5 m East from start.
- Final: Option A is correct.
Q8): A person walks 4 m North, then 3 m East, then 4 m South, then 2 m East. What is his distance from the starting point?
A) 3 m
B) 4 m
C) 5 m
D) 6 m
Answer: C) 5 m
Explanation:
- Step 1: North 4 and South 4 cancel out.
- Step 2: East movement = 3 + 2 = 5 m.
- Step 3: Only 5 m East remains.
- Step 4: Distance from start = 5 m.
- Final: Option C is correct.
Q9): A person walks 9 m West and then 12 m North. What is the shortest distance from the starting point?
A) 15 m
B) 21 m
C) 12 m
D) 18 m
Answer: A) 15 m
Explanation:
- Step 1: West and North are perpendicular movements.
- Step 2: Shortest distance = √(9 × 9 + 12 × 12).
- Step 3: = √(81 + 144) = √225.
- Step 4: √225 = 15 m.
- Final: Option A is correct.
Q10): A person is facing North-East. He turns 90 degrees clockwise. Which direction is he facing now?
A) North-West
B) South-East
C) South-West
D) East
Answer: B) South-East
Explanation:
- Step 1: North-East is a diagonal direction.
- Step 2: 90 degrees clockwise means a right turn.
- Step 3: North-East → South-East after a right turn.
- Step 4: Final facing direction is South-East.
- Final: Option B is correct.
Q11): A is 10 m south of B. C is 6 m east of B. In which direction is C from A?
A) North-West
B) North-East
C) South-East
D) South-West
Answer: B) North-East
Explanation:
- Step 1: A is 10 m below B (South of B).
- Step 2: C is 6 m to the right of B (East of B).
- Step 3: From A to reach C: move 10 m North and 6 m East.
- Step 4: North + East gives North-East.
- Final: Option B is correct.
Q12): A person walks 5 m North, 5 m East, 5 m South, 5 m West and again 5 m North. Where is he now from the starting point?
A) 5 m North
B) 5 m South
C) At the starting point
D) 10 m North
Answer: A) 5 m North
Explanation:
- Step 1: North 5 cancels South 5.
- Step 2: East 5 cancels West 5.
- Step 3: After 4 moves, he is back at the start.
- Step 4: Last move is 5 m North from start.
- Final: Option A is correct.
Q13): A person faces West and walks 7 m. He turns right and walks 3 m. He turns right again and walks 7 m. Where is he from the starting point?
A) 3 m North
B) 3 m South
C) 7 m East
D) 7 m West
Answer: A) 3 m North
Explanation:
- Step 1: Walk 7 m West.
- Step 2: Right from West is North → walk 3 m North.
- Step 3: Right from North is East → walk 7 m East (West 7 gets cancelled).
- Step 4: Only 3 m North remains.
- Final: Option A is correct.
Q14): A person walks 2 km East, 3 km North, 2 km West and 1 km South. How far is he from the starting point?
A) 1 km
B) 2 km
C) 3 km
D) 4 km
Answer: B) 2 km
Explanation:
- Step 1: East 2 km cancels West 2 km.
- Step 2: Net North = 3 − 1 = 2 km.
- Step 3: Only 2 km North remains.
- Step 4: Distance from start = 2 km.
- Final: Option B is correct.
Q15): A person walks 6 m North, 8 m East, 2 m South and 3 m West. What is the shortest distance from the starting point?
A) √29 m
B) √34 m
C) √41 m
D) √45 m
Answer: C) √41 m
Explanation:
- Step 1: Net North = 6 − 2 = 4 m.
- Step 2: Net East = 8 − 3 = 5 m.
- Step 3: Shortest distance = √(5 × 5 + 4 × 4) = √(25 + 16).
- Step 4: Distance = √41 m.
- Final: Option C is correct.
Q16): A person faces South. He turns left and walks 4 m, turns right and walks 6 m, then turns right and walks 4 m. Where is he now from the starting point?
A) 6 m North
B) 6 m South
C) 4 m East
D) 4 m West
Answer: B) 6 m South
Explanation:
- Step 1: Left from South is East → walk 4 m East.
- Step 2: Right from East is South → walk 6 m South.
- Step 3: Right from South is West → walk 4 m West (East 4 gets cancelled).
- Step 4: Only 6 m South remains.
- Final: Option B is correct.
Q17): A person walks 15 m North, then 8 m West. He then turns left and walks 6 m. What is the shortest distance from the starting point?
A) √145 m
B) √169 m
C) √125 m
D) √113 m
Answer: A) √145 m
Explanation:
- Step 1: After 15 m North and 8 m West, he is facing West.
- Step 2: Left from West is South → walk 6 m South.
- Step 3: Net North = 15 − 6 = 9 m; Net West = 8 m.
- Step 4: Distance = √(9 × 9 + 8 × 8) = √(81 + 64) = √145 m.
- Final: Option A is correct.
Q18): A person faces North. He turns 90 degrees clockwise, then 180 degrees anticlockwise, then 270 degrees clockwise. What is his final direction?
A) East
B) West
C) South
D) North
Answer: C) South
Explanation:
- Step 1: North → 90 clockwise = East.
- Step 2: East → 180 anticlockwise = West.
- Step 3: West → 270 clockwise (3 right turns) = South.
- Step 4: Final direction becomes South.
- Final: Option C is correct.
Q19): A person walks 3 m North, 4 m East, 6 m South and 4 m West. Where is he now from the starting point?
A) 3 m North
B) 3 m South
C) 1 m South
D) At the starting point
Answer: B) 3 m South
Explanation:
- Step 1: East 4 cancels West 4.
- Step 2: Net North = 3 − 6 = −3 m.
- Step 3: Negative means 3 m South.
- Step 4: So he is 3 m South from start.
- Final: Option B is correct.
Q20): X walks 5 m North then 12 m East. Y walks 9 m East then 4 m North. What is the distance between X and Y?
A) √5 m
B) √8 m
C) √10 m
D) √13 m
Answer: C) √10 m
Explanation:
- Step 1: X is 12 m East and 5 m North from start.
- Step 2: Y is 9 m East and 4 m North from start.
- Step 3: Difference = 3 m East and 1 m North.
- Step 4: Distance = √(3 × 3 + 1 × 1) = √(9 + 1) = √10 m.
- Final: Option C is correct.