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Joined: 02 Sep 2012
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Re: Fresh Meat!!!
[#permalink]
17 Apr 2013, 06:11
8. The product of a positive integer x and 377,910 is divisible by 3,300, then the least value of x is:
\(3,300=3*11*2*5*2*5\)
\(377,910=37791*2*5\)
\(377,910*x/3300=\frac{37791*2*5*x}{3*11*2*5*2*5}\) Now x must contain 2*5, because 37791 is divisible by 3 x must not contain a 3, because 37791 is not divisible by 11 x must have it.
\(x=2*5*11=110\)
IMO D. 110