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Question

Town K is to the north of Town L. Town M is to the east of Town K. Town N is to the south of Town M. Town O is to the west of Town N. Town L is to the south-west of Town O. What is the position of Town K with respect to Town O?

The correct answer is
North-west

Spatial Analysis of Towns

This question requires determining the relative position of Town K with respect to Town O based on given directional information.

The provided relationships are:

  • Town K is North of Town L.
  • Town M is East of Town K.
  • Town N is South of Town M.
  • Town O is West of Town N.
  • Town L is South-West of Town O.

Step-by-Step Deduction

We can deduce the position of K relative to O by chaining the relationships:

  1. O relative to N: Given O is West of N, it implies N is East of O.
  2. N relative to M: Given N is South of M, it implies M is North of N. Combining with the first point, M is North-East relative to O.
  3. M relative to K: Given M is East of K, it implies K is West of M. Since M is North-East relative to O, K must be located North-West relative to O.

The final condition, 'L is South-West of O', confirms the spatial arrangement is possible and consistent with the derived relative positions.

Final Position Determination

Following the deduced path from O towards K (O -> East -> N -> North -> M -> West -> K), we establish that Town K is positioned to the North-west of Town O.

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Important Questions from Direction & Distance

  1. Hari starts from Point A and drives 10 km towards the west. He then takes a right turn, drives 8 km, turns right and drives 17 km. He then takes a right turn and drives 12 km. He takes a final right turn, drives 7 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90-degree turns only unless specified.)
  2. A taxi travels 7 km south, then turns towards the east and travels 5 km, then turns towards the north and travels 7 km and then turns to its left and travels 2 km. What is the location of the taxi now with respect to its starting position?
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