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A cyclist starts from point A, rides 12 km towards the east to reach B, then turns left and rides 5 km to reach C. What is the shortest distance between A and C, and in which direction is C from A?

Competition practiceDirection Sense
  • A17 km, North-East
  • B12 km, North
  • C13 km, North-East
  • D13 km, South-East

Step-by-Step Solution

A(0,0) → B(12,0) → turning left goes north to C(12,5). AC = √ √169 = 13 km, and C lies to the north-east of A.
Answer: C) 13 km, North-East

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