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Which of the following numbers is divisible by 56? A)

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Manager
Joined: 28 Feb 2003
Posts: 100
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Which of the following numbers is divisible by 56? A) [#permalink]  20 Jun 2003, 15:40
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Question Stats:

100% (03:53) correct 0% (00:00) wrong based on 1 sessions
Which of the following numbers is divisible by 56?

A) 108424
B) 132612
C) 175058
D) 289968
E) 403988
Manager
Joined: 18 Jun 2003
Posts: 141
Location: Hockeytown
Followers: 2

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Re: GMAt:PS - divisibility [#permalink]  21 Jun 2003, 21:20
brstorewala wrote:
Which of the following numbers is divisible by 56?

A) 108424
B) 132612
C) 175058
D) 289968
E) 403988

(D)

56 = 8x7 = 2x2x2x7

Since 3 of the choices end with 8, let's assume one of them is correct. Start by dividing C, D, E by 7 to see if they will be able to show a partial prime factorization of 2x2x2x7.

(c) does not

(d) 7 divides into 289968 41,424 times. Does 41,424 divide by [2x2x2], or 8? Yes, so (d) is correct.
Manager
Joined: 28 Feb 2003
Posts: 100
Followers: 1

Kudos [?]: 3 [0], given: 0

The logic is that a number will be divisible by 56, if it is divisible by both 7 and 8.

Divisibility test for 8:
If last three digits are divisible by 8, then the number is divisible by 8.....u cannot select the number based on the fact that the last digit is 8, you have to consider the last three digits.

only two of the numbers are divisble by 8, B and D.......out of B and D, only Dis divisible by 7, so the answer is D.
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