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Direction Sense · Question 35 of 67

Question 35

HardOriginal question

A robot is facing north-west. It turns 90∘90^\circ clockwise, then 225∘225^\circ anticlockwise, then 45∘45^\circ clockwise. Which direction is it facing now?

Options for question 35

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Net turn =90∘−225∘+45∘=−90∘= 90^\circ - 225^\circ + 45^\circ = -90^\circ, that is 90∘90^\circ anticlockwise.

  2. 90∘90^\circ anticlockwise from north-west: west (45∘)(45^\circ), south-west (90∘)(90^\circ).

  3. The robot faces south-west.

Worth noting

Treating the 225∘225^\circ turn as clockwise gives 90∘+225∘+45∘=360∘90^\circ + 225^\circ + 45^\circ = 360^\circ, a full circle, and the wrong answer north-west. Net the angles first, then make one turn.

Concept
Net angle with three rotations
Typical time
120 s
Your time
—
The rule this testsTurns and facing
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Ten questions from Direction Sense, at your own pace.

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Ten questions from Direction Sense, at your own pace.

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