Direction sense
Ten reasoning questions, each marked as you answer.
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Imran walks 14 km towards the west. He turns right and walks 15 km. He turns right and walks 11 km. Which direction is he facing now?
Answer and working
Answer D
Each right turn is a quarter turn clockwise, each left anticlockwise. The last leg runs East.
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Deepak walks 4 km towards the east. He turns right and walks 6 km. He turns right and walks 2 km. He turns right and walks 6 km. He turns left and walks 15 km. How far is he from the starting point in a straight line?
Answer and working
Answer D
Taking east and north as positive: he ends 13 km west and 0 km north of the start. Straight-line distance = √(13² + 0²) = 13 km.
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Lata walks 6 km towards the east. She turns right and walks 15 km. She turns left and walks 2 km. In which direction is she from the starting point?
Answer and working
Answer B
Taking east and north as positive: she ends 8 km east and 15 km south of the start, which is to the South-east.
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Kavita walks 13 km towards the west. She turns left and walks 6 km. She turns left and walks 5 km. How far, and in which direction, is she from the starting point?
Answer and working
Answer B
Taking east and north as positive: she ends 8 km west and 6 km south of the start. Distance = √(8² + 6²) = 10 km. 10 km, south-west.
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Priya walks 5 km towards the north. She turns right and walks 3 km. She turns right and walks 11 km. She turns left and walks 15 km. Which direction is she facing now?
Answer and working
Answer A
Each right turn is a quarter turn clockwise, each left anticlockwise. The last leg runs East.
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Harish walks 2 km towards the south. He turns right and walks 3 km. He turns right and walks 6 km. He turns right and walks 9 km. In which direction is he from the starting point?
Answer and working
Answer C
Taking east and north as positive: he ends 6 km east and 4 km north of the start, which is to the North-east.
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Asha walks 15 km towards the north. She turns right and walks 12 km. She turns left and walks 7 km. She turns left and walks 10 km. In which direction is she from the starting point?
Answer and working
Answer A
Taking east and north as positive: she ends 2 km east and 22 km north of the start, which is to the North-east.
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Imran walks 6 km towards the west. He turns left and walks 15 km. He turns left and walks 14 km. How far is he from the starting point in a straight line?
Answer and working
Answer D
Taking east and north as positive: he ends 8 km east and 15 km south of the start. Straight-line distance = √(8² + 15²) = 17 km.
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Tarun walks 12 km towards the west. He turns right and walks 9 km. He turns left and walks 8 km. He turns left and walks 9 km. He turns left and walks 6 km. How far, and in which direction, is he from the starting point?
Answer and working
Answer A
Taking east and north as positive: he ends 14 km west and 0 km north of the start. Distance = √(14² + 0²) = 14 km. 14 km, west.
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Meera walks 3 km towards the south. She turns right and walks 6 km. She turns left and walks 5 km. She turns left and walks 12 km. How far is she from the starting point in a straight line?
Answer and working
Answer B
Taking east and north as positive: she ends 6 km east and 8 km south of the start. Straight-line distance = √(6² + 8²) = 10 km.
More reasoning: Number and letter series, Coding and decoding, Analogies, Odd one out, Blood relations, Seating in a row.