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What is the remainder when the positive integer x is divided

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VP
Joined: 21 Mar 2006
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What is the remainder when the positive integer x is divided [#permalink]

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21 Jan 2007, 06:56
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What is the remainder when the positive integer x is divided by 8?
(1) When x is divided by 12, the remainder is 5.
(2) When x is divided by 18, the remainder is 11.

Is plugging in the only way to solve these god-dammed problems??

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Manager
Joined: 29 Nov 2006
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21 Jan 2007, 07:13
x = 8n + ?

(1) x = 12n + 5

Remainders: 5,1

(2) x = 18n + 11

Remainders: 3,5,7, 1

E

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SVP
Joined: 05 Jul 2006
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21 Jan 2007, 09:36
What is the remainder when the positive integer x is divided by 8?
(1) When x is divided by 12, the remainder is 5.
(2) When x is divided by 18, the remainder is 11.

FROM ONE

X = 12K+5

REMAINDER COULD BE (5, 1 , 5 , 1.......) INSUFF

FROM TWO

X = 18Q+11

REMAINDER COULD BE ( 3, 5 , 7 , 1 , .......INSUFF

BOTH TOGETHER

IT COULD BE 5 OR 1 .......INSUFF

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Intern
Joined: 14 Jan 2007
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21 Jan 2007, 14:50
yezz wrote:
FROM TWO

X = 18Q+11

REMAINDER COULD BE ( 3, 5 , 7 , 1 , .......INSUFF

Yezz, how do you get the list of remainders? Is plugging in for values of Q the only way?

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Manager
Joined: 12 Feb 2006
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27 Jan 2007, 18:58
I second that. I'm a little confused how we get the remainders.

Thanks,

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SVP
Joined: 05 Jul 2006
Posts: 1750

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28 Jan 2007, 02:25
professor , it is the easiest way

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28 Jan 2007, 02:25
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