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# How many positive integers· less than 20 are equal to the sum of a pos

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Math Expert
Joined: 02 Sep 2009
Posts: 58333
How many positive integers· less than 20 are equal to the sum of a pos  [#permalink]

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07 Mar 2019, 00:05
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Difficulty:

65% (hard)

Question Stats:

55% (02:13) correct 45% (02:11) wrong based on 65 sessions

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How many positive integers· less than 20 are equal to the sum of a positive multiple of 3 and a positive multiple of 4 ?

(A) Two

(B) Five

(C) Seven

(D) Ten

(E) Nineteen

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How many positive integers· less than 20 are equal to the sum of a pos  [#permalink]

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Updated on: 01 Apr 2019, 00:39
Bunuel wrote:
How many positive integers· less than 20 are equal to the sum of a positive multiple of 3 and a positive multiple of 4 ?

(A) Two

(B) Five

(C) Seven

(D) Ten

(E) Nineteen

Shreya9816 and danish07
question has asked +ve integers<20 are equal to sum of multiples of 3 & 4
step 1 : determine multiple of 3 & 4 which are <20
multiple of 3 ; 3,6,9,12,15,18 = 6
multiple of 4 ; 4,8,12,16,20 = 5 ;
now we got to add the multiples of 3 & 4 and determine pairs which are <20
pairs will be (4,3),(4,6)(4,9)(4,12),(4,15) ; (8,3),(8,6),(8,9); (12,3),(12,6) ; (16,3); total 11 pairs
but (4,15 ) & (16,3) give same sum viz 19 so only 1 pair to be considered
total pairs left 10
IMO D
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Originally posted by Archit3110 on 07 Mar 2019, 04:10.
Last edited by Archit3110 on 01 Apr 2019, 00:39, edited 2 times in total.
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Joined: 12 Nov 2018
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GMAT 1: 690 Q48 V35
Re: How many positive integers· less than 20 are equal to the sum of a pos  [#permalink]

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16 Mar 2019, 03:09
can you please elaborate what the question actually means......the meaning seems ambiguous to me
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Joined: 17 Dec 2016
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Re: How many positive integers· less than 20 are equal to the sum of a pos  [#permalink]

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01 Apr 2019, 00:15
The question is asking for the multiples of 3 and 4 both and not the individual multiples. Is my understanding correct ?
Re: How many positive integers· less than 20 are equal to the sum of a pos   [#permalink] 01 Apr 2019, 00:15
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