A man has 72 green marbles and 108 red marbles. He decides to pack them into packets of the same size, each containing either all red of all green marbles. What is the maximum number of marbles he can put in each packet?

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None of these

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The maximum number of marbles in a single package is the HCF (Highest Common Factor) of 72 and 108.

72 = 2 x 2 x 2 x 3 x 3

108 = 2 x 2 x 3 x 3 x 3

∴HCF of 72 and 108 is = 2 x 2 x 3 x 3 = 36.

So the max number of marbles that can go into a package is 36.

ans: 36

7 years ago

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Md Azizur Rahman

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