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

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CEO
Joined: 15 Aug 2003
Posts: 3467
Followers: 61

Kudos [?]: 719 [0], given: 781

How many integers between 100 and 150, inclusive, can be [#permalink]  07 Dec 2003, 19:12
00:00

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Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
How many integers between 100 and 150, inclusive, can be evenly
divided by neither 3 nor 5?

33
28
27
26
24

explain
Director
Joined: 28 Oct 2003
Posts: 503
Location: 55405
Followers: 1

Kudos [?]: 11 [0], given: 0

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.
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