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tricky number properties!

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tricky number properties!

by ashish1354 » Sat Nov 14, 2009 3:12 am
A six digit number is obtained by repeating a 2 digit number three times (e.g 565656, 232323). Such a number must be a multiple of
a)11100
b)10011
c)10101
d)11001

I could not figure out the answer

OA after few replies
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by dmateer25 » Sat Nov 14, 2009 10:00 am
I just picked the number 212121 and then divided it by 21 and you get 10101. Thus, 212121 is a multiple of 10101.

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Re: tricky number properties!

by harshavardhanab » Sat Nov 14, 2009 10:54 am
ashish1354 wrote:A six digit number is obtained by repeating a 2 digit number three times (e.g 565656, 232323). Such a number must be a multiple of
a)11100
b)10011
c)10101
d)11001

I could not figure out the answer

OA after few replies
Hi,

Any six digit number of the above format can be represented as xyxyxy = xy(10000) + xy(100) + xy = xy(10000 + 100 + 1) which should be a multiple of 10101
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