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1. 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 or all green marbles. What is the greatest number of marbles he can put in each packet?

  • A. 36
  • B. 36
  • C. 36
  • D. 36

Answer: Option A

Explanation:

72 = 2 × 2 × 2 × 3 × 3

108 = 2 × 2 × 3 × 3 × 3

The highest common factor of 72 and 108 is 36. Therefore he can put 36 marbles at maximum in each packet.


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