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When N is divided by 13, the remainder is 2 and the quotient

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When N is divided by 13, the remainder is 2 and the quotient [#permalink] New post 09 May 2005, 04:49
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When N is divided by 13, the remainder is 2 and the quotient is K. When N is divided by 17, the remainder is 2. What is the remainder when K is divided by 17?
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 [#permalink] New post 09 May 2005, 05:43
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N = 13K+2

N = 17T+2


17T+2 = 13K+2

17T = 13K....eq 1

so, from eq 1 we know that K is a multiple of 17...therefore the remainder is 0.
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Re: Remainder k... [#permalink] New post 09 May 2005, 18:37
N=13k+2=17L+2
13k=17L. to hold the above equation, k must equal to 17L or its multiple, simiarly l ust be equal to 13 or its multiple.
if thats the case, the reinder must be zero when K is divided by 17.
Re: Remainder k...   [#permalink] 09 May 2005, 18:37
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When N is divided by 13, the remainder is 2 and the quotient

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