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# How many positive integers less than 1000 are multiples of 5

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GMAT Instructor
Joined: 04 Jul 2006
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How many positive integers less than 1000 are multiples of 5 [#permalink]  09 Jul 2006, 01:16
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Question Stats:

100% (04:29) correct 0% (00:00) wrong based on 2 sessions
How many positive integers less than 1000 are multiples of 5 but NOT of 4 or 7?

(A) fewer than 50 (B) from 50 to 99 (C) from 100 to 119 (D) from 120 to 150 (E) more than 150
SVP
Joined: 05 Apr 2005
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Re: PS: multiples less than 1000 [#permalink]  09 Jul 2006, 04:40
kevincan wrote:
How many positive integers less than 1000 are multiples of 5 but NOT of 4 or 7?

(A) fewer than 50 (B) from 50 to 99 (C) from 100 to 119 (D) from 120 to 150 (E) more than 150

D. well +ve integers.

multiples of 5 = 995/5 = 199
multiples of 5 and 4 = 49
multiples of 5 and 7 = 28

so multiple of 5 but not of 4 and 7 = 199-49-28 = 122
GMAT Instructor
Joined: 04 Jul 2006
Posts: 1269
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You got the right answer choice, but not the right number of multiples!

Rethink your counting principles (Venn diagram)!

Good start, though
Intern
Joined: 29 May 2006
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u forgot to add back the numbers that are multiples of 5,4 and 7.
122 + 7 = 129 is the actual answer.
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