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Question

# Peter has 12 pens, and Sheldon has 15 pens. They wanted to make bundles of pens, having the same number of pens in each bundle. How many maximum possible pens can be included in each bundle if all the bundles are identical?

A
4
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B
5
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C
3
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D
2
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Solution

## The correct option is C 3Number of pens Peter has =12 Number of pens Sheldon has =15 The number of pens in each bundle is the same. ∴ Number of pens in each bundle must be a common factor of 12 and 15. For maximum number of pens in each bundle, we need to evaluate the GCD of 12 and 15. Finding the GCD of 12 and 15 using step diagram method we get, 12=2×2×3 15=3×5 GCD is 3. ∴3 pens can be included in each bundle.

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