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KPSC KAS 2017 · Question 139 of 200

While facing East, Williams turns to his left and walks 6 metres, then he again turns to his left and walks 6 metres, then turns 45 towards his right and walks a distance of 5 metres. Then what are the direction he is facing and the distance from his starting point ?

Mental Ability

  1. ANorth-east, 5 + 6 2 m
  2. BNorth-west, 5 + 6 2 mCorrect
  3. CSouth-west, 17 m
  4. DNorth-west, 17 m

Answer: B. North-west, 5 + 6 2 m

Explanation

Facing east, left turn → north (6 m), left turn → west (6 m), then 45° right turn → north-west; distance = √(6²+6²)+5 = 5+6√2 m facing north-west.

Source: KPSC Gazetted Probationers Prelims 2017, Paper-II (General Studies, subject code 262), Series A

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