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Problem 17 - Entrance Test
If South-East becomes North, North-East becomes West, and so on, what will West become?
Correct: B
Let's determine the rotation. We can use cardinal directions in degrees (North=0/360, East=90, South=180, West=270, North-East=45, South-East=135, South-West=225, North-West=315).
1. South-East (135°) becomes North (0°/360°).
To go from 135° to 0°/360°, you move 135° anti-clockwise or 225° clockwise.
(360 - 135 = 225° clockwise; 135 - 0 = 135° anti-clockwise)
2. North-East (45°) becomes West (270°).
To go from 45° to 270°, you move 225° clockwise.
(270 - 45 = 225° clockwise)
Both examples indicate a consistent rotation of 225 degrees clockwise for all directions.
Now, we need to find what West (270°) will become after a 225-degree clockwise rotation:
270° + 225° = 495°.
Since a circle is 360°, we subtract 360° from 495° to find the equivalent angle:
495° - 360° = 135°.
135° corresponds to South-East.
Therefore, West will become South-East.