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The product 7x6x5x4x3is divisible by all of the following EXCEPT:

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The product 7x6x5x4x3is divisible by all of the following EXCEPT:  [#permalink]

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New post 10 Jan 2019, 04:29
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A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

53% (01:11) correct 47% (01:22) wrong based on 45 sessions

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The product 7x6x5x4x3 is divisible by all of the following EXCEPT:

a) 120
b) 240
c) 360
d) 840
e) 1,260

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Re: The product 7x6x5x4x3is divisible by all of the following EXCEPT:  [#permalink]

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New post 10 Jan 2019, 05:38
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The product 7x6x5x4x3 is divisible by all of the following EXCEPT:

\(7*6*5*4*3 = 7*5*3^2*2^3\)

a) 120 = \(2^3*3*5\)
b) 240 = \(2^4*3*5\)
c) 360 = \(2^3*3^2*5\)
d) 840 = \(2^3*3*5*7\)
e) 1,260 = \(2^2*3^2*5*7\)
from factorization only 240 is not divisible by \(7*6*5*4*3, as (7*6*5*4*3)/240 = 21/2 = 11.5\)

Option B is correct
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Re: The product 7x6x5x4x3is divisible by all of the following EXCEPT:   [#permalink] 10 Jan 2019, 05:38
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