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

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Which of the following numbers is divisible by 56? A) [#permalink] New post 20 Jun 2003, 16:40
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Which of the following numbers is divisible by 56?

A) 108424
B) 132612
C) 175058
D) 289968
E) 403988
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Re: GMAt:PS - divisibility [#permalink] New post 21 Jun 2003, 22:20
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.
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 [#permalink] New post 21 Jun 2003, 23:49
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.
  [#permalink] 21 Jun 2003, 23:49
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Which of the following numbers is divisible by 56? A)

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