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1.  
Gopal walks 15 m towards South, turns right and walks 20 m, then turns right and walks 30 m. How far and in which direction is he from his starting point?

Correct Answer: A [25 m, North-West]

Explanation:

S 15 → (0, −15); right = West 20 → (−20, −15); right = North 30 → (−20, 15).

2.  
Lakshmi faces South. She turns 45° anticlockwise, then 180° clockwise and then 90° anticlockwise. Which direction does she face now?

Correct Answer: D [South-West]

Explanation:

Net turn = −45 + 180 − 90 = +45°; South (180°) + 45° = 225° = South-West.

3.  
A cyclist rides 4 km North, turns right and rides 3 km, turns left and rides 4 km, then turns right and rides 3 km. By how many km does the distance he rode exceed his shortest distance from the start?

Correct Answer: E [4 km]

Explanation:

Ridden 14 km; end point (6, 8) → shortest 10 km; 14 − 10 = 4 km.

4.  
Neha walks 12 m West, turns left and walks 9 m, then turns left and walks 24 m. In which direction is her starting point from her present position?

Correct Answer: B [North-West]

Explanation:

End (12, −9); start − end = (−12, 9) → North-West (15 m away).

5.  
One morning Vinay's shadow was exactly behind him. He then turned right, then left, and then right again. Which direction is he facing now?

Correct Answer: C [South]

Explanation:

Morning shadow West behind → facing East.

6.  

Directions (Q 18–19): P # Q means P is 8 m North of Q; P $ Q means P is 6 m East of Q; P @ Q means P is 2 m South of Q; P % Q means P is 4 m West of Q.

If "A % B @ C", how far and in which direction is A from C?

Correct Answer: B [2√5 m, South-West]

Explanation:

C (0, 0); B @ C → B (0, −2); A % B → A (−4, −2): √(16 + 4) = 2√5 m, South-West.

7.  
(Use the directions above – Direction & Distance, Q 18–19)
Which expression means that P is 6√2 m away from S towards North-East?

Correct Answer: E [P # Q $ R @ S]

Explanation:

Add the moves (East, North): P # Q $ R @ S → (6, 6); P $ Q # R % S → (2, 8); P @ Q $ R $ S → (12, -2); P # Q % R $ S → (2, 8); P $ Q $ R # S → (12, 8).

8.  
Quantity I: shortest distance from the start after walking 8 m East and then 6 m North.
Quantity II: shortest distance from the start after walking 14 m South, turning right and walking 10 m, turning right and walking 6 m, and turning right and walking 4 m.

Correct Answer: E [Quantity I = Quantity II or relation cannot be established]

Explanation:

I: 6-8-10 → 10 m. II: end (−6, −8) → 10 m.

9.  
In which direction is Q from P?
I. Q is 5 m North of R.
II. R is 5 m East of P.

Correct Answer: D [Both statements together are needed]

Explanation:

I alone: R's place unknown; II alone: Q unknown.

10.  
Which of the following is/are correct?
I. Facing North-West, a person's right hand points North-East.
II. In the evening, a man facing North has his shadow on his left.
III. Two left turns and two right turns, in any order, leave the facing unchanged.

Correct Answer: C [Only I and III]

Explanation:

I true (315° + 90° = 45°).

11.  
Trick Spotter: a man is 21 m East and 28 m North of his start. The fastest correct way to find the shortest distance is:

Correct Answer: B [divide by 7 → 3, 4 → distance 5 × 7 = 35 m]

Explanation:

21 : 28 = 7 × (3 : 4) → 7 × 5 = 35 m (Triplet Spotter).

12.  
Reverse question: Hari walks 8 m North, turns right and walks some distance. He is now 10 m from his starting point. How far did he walk after turning?

Correct Answer: D [6 m]

Explanation:

8² + x² = 10² → x = 6 m.

13.  
If South is called East, West is called South, and all other directions change in the same way, what is North-West called?

Correct Answer: A [South-West]

Explanation:

S → E is 90° anticlockwise (check W → S ✓).

14.  
Asha and Bhanu start from the same point. Asha walks 10 km North, turns right and walks 6 km. Bhanu walks 2 km West, turns right and walks 4 km. How far apart are they now?

Correct Answer: C [10 km]

Explanation:

Asha (6, 10), Bhanu (−2, 4): difference (8, 6) → 10 km.

15.  
Spot My Mistake: "Kala walks 6 km East, turns left and walks 8 km, turns left again and walks 6 km. (1) Facing after the first turn: North. (2) Facing after the second turn: West. (3) Final position: 0 km East, 8 km North. (4) So she is 8 km North-East of the start." Which step is wrong?

Correct Answer: D [Step 4 – she is 8 km North of the start]

Explanation:

Net East–West = 6 − 6 = 0, so the direction is plain North, not North-East.

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