What is the remainder when the positive integer x is divided : DS Archive
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# What is the remainder when the positive integer x is divided

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VP
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What is the remainder when the positive integer x is divided [#permalink]

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21 Jan 2007, 05:56
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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??
Manager
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21 Jan 2007, 06:13
x = 8n + ?

(1) x = 12n + 5

Remainders: 5,1

(2) x = 18n + 11

Remainders: 3,5,7, 1

E
SVP
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21 Jan 2007, 08:36
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

Intern
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21 Jan 2007, 13:50
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?
Manager
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27 Jan 2007, 17:58
I second that. I'm a little confused how we get the remainders.

Thanks,
SVP
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28 Jan 2007, 01:25
professor , it is the easiest way
28 Jan 2007, 01:25
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