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I attempted to make them not too boring. The meant answer could be very arduous so I attempted to barely trace at it by implementing a number of options that result in the identical reply. I additionally tried to make extra photographs to make it extra apparent or extra decidable.




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Answers are as follows…
Puzzle 1:
Box 4. The layering shifts down a stage by one every, and because the oval was on backside within the first picture it moved to the highest.
Puzzle 2:
Box 2. Extending the strains till they intersect with the squares, after which counting each intersection (together with with the squares) if the rely of intersections is odd then the colour is blue, in any other case it is purple. Box 2 has no strains, so 0 is purple. The just one that throw me off is the field within the examples that’s down one from the higher left. I’m assuming that the strains are presupposed to intersect on the identical level alongside the upper-right hand aspect of the field they’re in.
Puzzle 3:
Box 4. When there are 2 intersecting or touchings then the circle turns purple. Box 4 is the one one that matches.
Puzzle 4:
Box 1. Count all doable triangles (so if two intersecting triangles make one other triangle, rely them individually. If the rely is odd, make them purple, if the rely is even make them blue. If that rule is adopted, there is a test mark on the high, in any other case if the colour is mistaken then there is no test.
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Answers:
3, 2, 4, 3
Explanations:
First:
Two photographs are paired up however the order by which the objects are stacked is likely to be modified. A purple circle implies that the objects are stacked from high to backside within the order they seem from left to proper. A blue circle flips that order and makes it proper to left. Notice that the banana-shaped factor seems barely earlier than the surfboard in case you go to the left from the appropriate. Also discover that the banana seems earlier than the surfboard in case you go from left to proper. This implies that the banana will at all times be above the oval surfboard.
Second:
Extend all black strains to infinity and rely the variety of intersections between all of the strains. (Only the strains) If # is even, make the shapes purple. If # is odd, make them blue. Only the second image satisfies this. (#=0 and purple)
Third:
Count the intersections. (Any intersection!) If the # is larger or equal to 2: purple. If there are not any intersections or there’s only one: blue. Touching shapes (tangent strains, and so on.) rely as 1 intersection.
Last:
If there’s a checkmark within the high proper:
Number of triangles within the picture: odd -> purple. even -> blue. If there is no such thing as a checkmark: the principles above had been adopted incorrectly. Notice that two overlapping triangles make a minimum of one extra triangle that must be counted.
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