You are given marble of diameter 10 mm. They are to be placed such that their centres are lying in a square bond by four lines each of length 40 mm. The maximum number of marbles which may be placed i

Question

You are given marble of diameter 10 mm. They are to be placed such that their centres are lying in a square bond by four lines each of length 40 mm. The maximum number of marbles which may be placed inside this area is

Prashant Kotian · Accepted Answer

Correct answer: 0016. Since the marbles must be bounded by the 40 mm square, their centres must lie within a square. Packing the centres in a square lattice with 10 mm spacing gives 4 centres along each edge ( gaps + 1 = 4 points). Total marbles in square packing . Hexagonal packing in the same bound yields fewer (14). The maximum is 16. Therefore, correct answer is 0016.

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