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

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Manager
Joined: 14 Feb 2016
Posts: 71
The product 7x6x5x4x3is divisible by all of the following EXCEPT:  [#permalink]

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10 Jan 2019, 04:29
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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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Manager
Joined: 01 May 2017
Posts: 82
Location: India
Re: The product 7x6x5x4x3is divisible by all of the following EXCEPT:  [#permalink]

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10 Jan 2019, 05:38
1
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
Re: The product 7x6x5x4x3is divisible by all of the following EXCEPT:   [#permalink] 10 Jan 2019, 05:38
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