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# How many integers between 100 and 150, inclusive, can be

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CEO
Joined: 15 Aug 2003
Posts: 3452

Kudos [?]: 924 [0], given: 781

How many integers between 100 and 150, inclusive, can be [#permalink]

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07 Dec 2003, 20:12
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How many integers between 100 and 150, inclusive, can be evenly
divided by neither 3 nor 5?

33
28
27
26
24

explain

Kudos [?]: 924 [0], given: 781

Director
Joined: 28 Oct 2003
Posts: 501

Kudos [?]: 34 [0], given: 0

Location: 55405

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07 Dec 2003, 20:23
The set has 51 numbers.

11 of them are multiples of 5 (I counted on my fingers).
17 of them are multiples of 3. (51/17)
105, 120, 135, and 150 meet both criteria. (this should be easy too, identify the first one, and go on by fifteen)

24 numbers are divisible by one or the other or both
27 are not divisible by either number.

Kudos [?]: 34 [0], given: 0

07 Dec 2003, 20:23
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