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# If t is a positive integer and r is the remainder when

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Current Student
Joined: 31 Aug 2007
Posts: 366

Kudos [?]: 167 [0], given: 1

If t is a positive integer and r is the remainder when [#permalink]

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30 Mar 2008, 11:07
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If t is a positive integer and r is the remainder when t^2+5t+6 is divided by 7, and when t is divided by 7, the remainder is 6, what is r?

Kudos [?]: 167 [0], given: 1

Senior Manager
Joined: 28 Feb 2007
Posts: 300

Kudos [?]: 44 [0], given: 0

Re: PS number properties [#permalink]

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30 Mar 2008, 11:54
r=2

t=7x+6 and t,r,x-integers

(t^2+5t+6)=(t+2)(t+3)=(7x+8)(7x+9)
=49x^2+7x (8+9)+72
=7*(7x^2+17x+10) + 2

Kudos [?]: 44 [0], given: 0

Re: PS number properties   [#permalink] 30 Mar 2008, 11:54
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# If t is a positive integer and r is the remainder when

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