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# A certain number when successfully divided by 8 and 11

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VP
Joined: 30 Sep 2004
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A certain number when successfully divided by 8 and 11 [#permalink]

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06 May 2005, 06:13
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A certain number when successfully divided by 8 and 11 leaves remainders of 3 and 7 respectively. What will be remainder when the number is divided by the product of 8 and 11, viz 88?

(1) 3 (2) 21 (3) 59 (4) 68
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VP
Joined: 26 Apr 2004
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06 May 2005, 08:48
christoph wrote:
A certain number when successfully divided by 8 and 11 leaves remainders of 3 and 7 respectively. What will be remainder when the number is divided by the product of 8 and 11, viz 88?

(1) 3 (2) 21 (3) 59 (4) 68

N1 : 8x + 3 = 11y + 7

N2 : 8x = 11y+4

N1 = N2+3

y = 4, 12(4*3), 20(4*5), 28(4*7), 36, 44 .....
N2 = 48,136, 224, 312, 400, 488 .....
N1 = 51,139,227,315,403,491 .....

remainder = 51, 51, 51 ....

Oh, gosh, I cannot get the answer.

Could anybody tell me why?
06 May 2005, 08:48
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