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Fri 14 Feb, 2003 04:43 pm
What ten digit number has the following characteristics. Each of the ten digits (0-9) is only used once in the number. The first number (in the billions place) is divisible by one. The first two numbers (billions and hundred millions place) is a two digit number divisible by two. The first three numbers makes a three digit number divisible by three and so on such that the ten digit number is divisible by ten.
What is the number?
The number is expressed as -,---,---,---.
The second, fourth, sixth and eighth digits are even (2, 4, 6 or 8). The final digit is 0. The first 3 digits, added together, must equal a number divisible by 3 (e. g. 123; 1 + 2 + 3 = 6 which is divisible by 3). The fifth digit, in order to get the first 5 digits divisible by 5, must be a 5 (since the only other choice, 0, is being used elsewhere).
It's not 1234567890, because 1234 isn't divisible by 4.
Therefore, so far, I have
-,---,5--,--0.
Only at a few occasions, a quizz would be of fun.
Answer: 3816547290
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