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

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02 Dec 2016, 06:54
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Difficulty:

35% (medium)

Question Stats:

60% (01:43) correct 40% (01:03) wrong based on 116 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

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Joined: 05 Mar 2015
Posts: 984
Re: Which of the following can be divided by all integers between 1 and 9,  [#permalink]

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02 Dec 2016, 07:39
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
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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, 09:02
1
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.

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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, 11:48
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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Abhishek....

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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, 14:31
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Re: Which of the following can be divided by all integers between 1 and 9, &nbs [#permalink] 03 Dec 2017, 14:31
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