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

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Math Expert
Joined: 02 Sep 2009
Posts: 42605

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

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

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02 Dec 2016, 05:54
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45% (medium)

Question Stats:

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

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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
[Reveal] Spoiler: OA

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

Director
Joined: 05 Mar 2015
Posts: 966

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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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

Manager
Joined: 02 Nov 2013
Posts: 95

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

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

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02 Dec 2016, 08:02
1
KUDOS
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.

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

Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 3111

Kudos [?]: 1148 [0], given: 327

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

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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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Kudos [?]: 1148 [0], given: 327

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

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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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