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At Arman's Co., pretzels are moved from ovens to packaging in a line of 25. Every fifth pretzel is tested for weight. Every third pretzel is tested for size, how many of the 25 pretzels are not checked or tested?

Sagot :

ItzGailidn

13 out of 25 pretzels are not checked or tested

Let the 25 pretzels be:

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25

Every fifth pretzels is tested of weight

Collect all the multiples of 5 till 25

So, pretzels that are tested for weight are: 5, 10, 15, 20, 25.

Every third pretzel is tested for size

Collect all the multiples of 3 till 25.

So pretzels that are tested for size are: 3, 6, 9, 12, 15, 18, 21, 24.

Now, pretzels that are not checked or tested are: 1, 2, 4, 7, 8, 11, 13, 14, 16, 17, 19, 22, 23.

They are 13 number.

13 out of 25 pretzels are not checked or tested.

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