General Maths Puzzle Category

{q+log3 (base2), q+log3 (base4), q+log3 (base8)} Let q be a real number such that the above set of numbers form a geometric progression (in that order). Find the common ratio of this geometric progression.

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qant=74.87
verbal=44.57
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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?