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Question

Jordan bought 28 fruits, 60 chocolates and 84 cookies. In a combination of these items, how many maximum number of packages of same type can Jordan prepare?

A
4
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B
8
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C
7
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D
15
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Solution

The correct option is A 4
Number of fruits =28
Number of chocolates =60
Number of cookies =84
As each package contains same combination of all the items, the maximum number of such packages will be the GCD of 28,60 and 84.
So, by finding GCD using step diagram method we get,


28=2×2×7
60=2×2×3×5
84=2×2×3×7
GCD is 2×2=4

Jordan can prepare maximum 4 packages.

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