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1.  
Sanjay walks 5√2 m towards South-East, then 17 m North and then 10 m West. How far and in which direction is he from the start?

Correct Answer: D [13 m, North-West]

Explanation:

5√2 SE = (5, −5); +17 N → (5, 12); −10 E → (−5, 12): 5-12-13 → 13 m, North-West.

2.  
In a code, East is called West, West is called East, and North and South keep their names. Corner directions follow the same pattern. What is North-East called?

Correct Answer: C [North-West]

Explanation:

This is a mirror, not a rotation: NE lies between N and E, so it becomes the direction between N and W → North-West.

3.  
At sunrise, Kamala stood with her shadow falling to her right. She then turned 135° anticlockwise and walked straight. In which direction did she walk?

Correct Answer: E [North-East]

Explanation:

Morning shadow West on the right → facing South (180°).

4.  
Ajay and Vijay start from the same gate. Ajay walks 12 km East, turns left and walks 5 km. Vijay walks 4 km West, turns left and walks 7 km. How far apart are they?

Correct Answer: A [20 km]

Explanation:

Ajay (12, 5); Vijay facing West turns left = South → (−4, −7).

5.  
A robot faces North. It repeats the command "move 2 m forward, then turn 45° clockwise" eight times. How far is it from its starting point at the end?

Correct Answer: B [0 m – it is back at the start]

Explanation:

Eight 45° turns make 360°; the eight equal moves form a closed octagon, so it returns to the start.

6.  
Seema walks x m East, turns left and walks 24 m, and is then 25 m from the start. She then turns left and walks 2x m. How far and in which direction is she from the start now?

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

Explanation:

x² + 24² = 25² → x = 7. After walking 14 m West: (−7, 24) → 25 m, North-West.

7.  
A man facing East makes these turns one after another: right, right, left, about-turn, left, right. How many times does he face North just after a turn?

Correct Answer: B [2]

Explanation:

E → S → W → S → N → W → N: North twice.

8.  
From his house Ramesh drives 20 km North, turns right and drives 10 km, turns right and drives 5 km, turns left and drives 10 km, then turns right and drives 15 km. To reach home by the shortest route he must drive:

Correct Answer: E [20 km towards West]

Explanation:

Position: (0, 20) → (10, 20) → (10, 15) → (20, 15) → (20, 0).

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