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# How many positive integers not exceeding 2001 are multiples of 3 or 4

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Math Expert
Joined: 02 Sep 2009
Posts: 59725
How many positive integers not exceeding 2001 are multiples of 3 or 4  [#permalink]

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18 Mar 2019, 02:40
00:00

Difficulty:

95% (hard)

Question Stats:

35% (03:19) correct 65% (02:31) wrong based on 23 sessions

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How many positive integers not exceeding 2001 are multiples of 3 or 4 but not 5?

(A) 768
(B) 801
(C) 934
(D) 1067
(E) 1167

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Joined: 18 Aug 2017
Posts: 5483
Location: India
Concentration: Sustainability, Marketing
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Re: How many positive integers not exceeding 2001 are multiples of 3 or 4  [#permalink]

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18 Mar 2019, 02:51
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1
Bunuel wrote:
How many positive integers not exceeding 2001 are multiples of 3 or 4 but not 5?

(A) 768
(B) 801
(C) 934
(D) 1067
(E) 1167

2001/3 = 667
2001/4 = 500
2001/12 = 166
2001/15 = 133
2001/20 =100
2001/60 = 33

667+500-166= 1001

133+100-33 = 200
1001-200; 801
IMO B
Re: How many positive integers not exceeding 2001 are multiples of 3 or 4   [#permalink] 18 Mar 2019, 02:51
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