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When the positive integer x is divided by 11, the quotient

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Director
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When the positive integer x is divided by 11, the quotient [#permalink] New post 30 Oct 2007, 19:27
When the positive integer x is divided by 11, the quotient is y and the remainder 3. When x is divided by 19, the remainder is also 3. What is the remainder when y is divided by 19?


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 [#permalink] New post 30 Oct 2007, 19:43
i get 0...

we know that x=11k+3 where 11K=y

11k+3=19N+3

we know that x=11*19(K+M)+3

y=209

209/19 remainder 0
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Re: mgmt - remainder. [#permalink] New post 30 Oct 2007, 21:29
alimad wrote:
When the positive integer x is divided by 11, the quotient is y and the remainder 3. When x is divided by 19, the remainder is also 3. What is the remainder when y is divided by 19?


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agree with above.

it has to be zero. x is a multiple of (11x19) plus 3. so y is a multiple of 19. so reminder is 0 if y is divided by 19.
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 [#permalink] New post 31 Oct 2007, 07:41
Ok, i'm still kinda confused.

we know that x = 11y+3 & x = q19 + 3

11y+ 3 = q19 + 3

y = q19/11 ---

so when y /19 = q19/11 / 19/1 ..... have i totally go overboard with this one.

???
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  [#permalink] 31 Oct 2007, 07:41
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When the positive integer x is divided by 11, the quotient

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