General Maths Puzzle Logical Reasoning

Assume A,B & C are 3 points in a straight line. And the distance between these 3 points should be equal in all possible arrangements of A,B,C points.

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General Other Question

Greedy Garisht is celebrating his birthday with 6 of his friends. His mother baked him a birthday cake in the shape of a regular hexagon. Wanting to keep most of the cake, he makes cuts linking the midpoints of every 2 adjacent sides, and distributes these 6 slices to his friends. What proportion of the cake does he have left for himself? If there are 8 identical iron balls, one among them is a hallow one. You have given a balance and you can able to measure exactly two times. How do you find out the hallow ball?