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Question

Roy needs to ship 28 parcels, 56 envelops, and 63 cards. He can pack only one type of thing in each box, and he must pack the same number of things in each box. What is the greatest number of things can pack in each box?
  1. 7

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Solution

The correct option is A 7

The greatest number of things Roy can pack in each box is HCF of all types.

Factor of 28 = 1, 2, 4, 7, 14, and 28

Factor of 56 = 1, 2, 4, 7, 8, 14, 28, 56

Factor of 63 = 1, 3, 7, 9, 21, and 63

Common Factor = 1, 7

Therefore, HCF is 7 so the greatest number of things Roy can pack in each box is 7.


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