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Which of the following can be divided by all integers between 1 and 9,

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Kudos [?]: 135629 [0], given: 12705

Which of the following can be divided by all integers between 1 and 9, [#permalink]

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New post 02 Dec 2016, 05:54
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A
B
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D
E

Difficulty:

  45% (medium)

Question Stats:

63% (01:48) correct 37% (01:15) wrong based on 70 sessions

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Kudos [?]: 135629 [0], given: 12705

Director
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P
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Kudos [?]: 301 [0], given: 41

Re: Which of the following can be divided by all integers between 1 and 9, [#permalink]

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New post 02 Dec 2016, 06:39
Indraksh wrote:
Option d is it?

Sent from my Lenovo A7010a48 using GMAT Club Forum mobile app


number shoul have 0 or 5 in units place
its sum must be 9 and it should be divisible by 7& 8

only option D satiesfies that

Ans D

Kudos [?]: 301 [0], given: 41

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Kudos [?]: 11 [1], given: 10

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Re: Which of the following can be divided by all integers between 1 and 9, [#permalink]

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New post 02 Dec 2016, 08:02
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Divisibility number's formula,
Number divisible by 5 should have unit digit either 5 or 0. All numbers have unit digit 0. Need to dig down.
Number divisible 9, 7 and 8 sufficient to answer the question.

Choice D is my answer.

Kudos [?]: 11 [1], given: 10

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Re: Which of the following can be divided by all integers between 1 and 9, [#permalink]

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New post 02 Dec 2016, 10:48
Bunuel wrote:
Which of the following can be divided by all integers between 1 and 9, inclusive?

A. 740
B. 1,260
C. 3,840
D. 7,560
E. 8,640


(A) \(740 = 2^2 * 5^1 * 37^1\) ( Not divisible by 3, 6 , 7 & 8 )

(B) \(1260 = 2^2 * 3^2 * 5^1 * 7^1\) ( Not divisible by 8 )

(C) \(3840 = 2^8 * 3^1 * 5^1\) ( Not divisible by 7 )

(D) \(7560 = 2^3 * 3^3 * 5^1 * 7^1\)

(E) \(8640 = 2^6 * 3^3 * 5^1\) ( Not divisible by 7 )

Hence, answer will definitely be (D) 7

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Re: Which of the following can be divided by all integers between 1 and 9, [#permalink]

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New post 03 Dec 2017, 13:31
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Kudos [?]: 287 [0], given: 0

Re: Which of the following can be divided by all integers between 1 and 9,   [#permalink] 03 Dec 2017, 13:31
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