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Question

A person walks 4 km north, then 3 km east, and finally 4 km south. In which direction is he from his starting point?

This question was previously asked in
SSC CHSL 2025 Tier 1 Question Paper (21-Nov-2025) (Shift 1)
The correct answer is

East

Set up a simple mental grid with the start point at the origin and treat north as +y, east as +x, south as -y and west as -x.

The person first walks 4 km north, so his position moves to \((0,\,+4)\).

He then walks 3 km east, taking him to \((+3,\,+4)\).

Finally he walks 4 km south, which subtracts 4 from the y-coordinate: \((+3,\,+4-4)=(+3,\,0)\).

The 4 km north and the 4 km south are equal and opposite, so they cancel and the net vertical movement is zero.

What remains is only the 3 km walked to the east, so the final position lies purely along the positive x-axis relative to the start.

The key idea is that opposite displacements of equal length cancel, leaving the resultant along the single unbalanced direction.

Therefore, measured from the starting point, the person is finally in the direction East.

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Important Questions from Direction and Distance

  1. Sita took an auto from her home in Andheri (A) to go to her college in Fatehpuri (F). Rather than continuing straight on the direct road to the college that had no turns, the auto driver took a diversion after 10 km and tumed right at Bandra (B) crossing, then at Colaba T- point (C) after 8 km turned left, again after covering 12 km turned left at Dalhousi Building (D) and soon after 8 km turned right at Elphinston point (E) and after covering 4 km reached Fatehpuri (F). Had the auto driver taken the direct route how much less distance would Sita have actually travelled between the starting point and the destination?

  2. Radha walks a distance of 9 m towards the South-East. Then she walks 15 m towards the West. From here, she walks 9 m towards the North-West. Finally she walks 6 m towards the East and stands at the point. How far is she standing from the starting point?

  3. According to the time by Nihaal's watch its half past one and the hour hand is pointing towards the north-east. Assuming that there is no change in Nihaal's position, in which direction would the minute hand point after 30 minutes?

  4. According to the time by Rohan's watch, it is half past 6 and the watch's hands are pointing to the south. In which of the given directions will the minute-hand point AFTER exactly 24 hours?

  5. According to the time by Rick's watch its quarter past eight. If the minute hand points towards the east, towards which direction would the hour hand point?

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