BDMO National Primary 2018/7

Discussion on Bangladesh Mathematical Olympiad (BdMO) National
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nahin munkar
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BDMO National Primary 2018/7

Unread post by nahin munkar » Tue Jan 08, 2019 1:45 pm

abc is a three digit number. abc is appended to abc to create a six digit number abcabc. If abcabc is divisible by abc $\times$ abc, then determine the abc .
# Mathematicians stand on each other's shoulders. ~ Carl Friedrich Gauss

samiul_samin
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Re: BDMO National Primary 2018/7

Unread post by samiul_samin » Thu Jan 10, 2019 1:42 am

$13×11×7=1001$
$abc×1001=abcabc$
As $abcabc$ is divided by $abc×abc$ ,
$abc$=$11×13=143$
Answer:$143$

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