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Number Problem

Posted: Tue Sep 11, 2018 2:52 pm
by Leisher
There is a unique number of ten digits ...

_____ _____ _____ _____ _____ _____ _____ _____ _____ _____
1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th

... for which the following holds:

All the digits from 0 to 9 occur exactly once in the number;
The first digit from the left is divisible by 1;
The number formed by the first two digits is divisible by 2;
The number formed by the first three digits is divisible by 3;
The number formed by the first four digits is divisible by 4;
The number formed by the first five digits is divisible by 5;
The number formed by the first six digits is divisible by 6;
The number formed by the first seven digits is divisible by 7;
The number formed by the first eight digits is divisible by 8;
The number formed by the first nine digits is divisible by 9;
The number formed by the first ten digits is divisible by 10;

Which number is this?

I'm posting the problem without sitting down to figure it out. I know some of you like puzzles, so here you go. I'll be back after I have to compare answers.

Number Problem

Posted: Tue Sep 11, 2018 2:57 pm
by GORDON
1234567890?

Nope, missed the combined aspect.

Number Problem

Posted: Tue Sep 11, 2018 4:54 pm
by TheCatt
I think I got it.

I was hoping it'd be one of those insta-trick things (like 1234567890, or 3216549870, etc)... but it was not as far as I can tell.

I got it. logical deductions got me most of the way there.

Number Problem

Posted: Tue Sep 11, 2018 6:13 pm
by TheCatt
And, thank you for posting, that was fun.

Number Problem

Posted: Sat Sep 15, 2018 5:38 pm
by TheCatt
No one else trying?

Number Problem

Posted: Mon Sep 17, 2018 12:39 pm
by Leisher
I completely forgot about it.

I'll try Friday. Work, plus prepping for an exam this week.

Number Problem

Posted: Mon Oct 01, 2018 6:30 pm
by TheCatt
Leisher wrote:Source of the post I completely forgot about it.

I'll try Friday. Work, plus prepping for an exam this week.

BUMP