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A number of 9 digits has the following properties:
? The number comprising the leftmost two digits is divisible
by 2, that comprising the leftmost three digits is divisible
by 3, the leftmost four by 4, the leftmost five by 5, and so
on for the nine digits of the number i.e. the number formed
from the first n digits is divisible by n, 2<=n<=9.
? Each digit in the number is different i.e. no digits are
repeated.
? The digit 0 does not occur in the number i.e. it is
comprised only of the digits 1-9 in some order.
Find the number.
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The answer is 381654729
One way to solve it is Trial-&-Error. You can make it bit
easier as odd positions will always occupy ODD numbers and
even positions will always occupy EVEN numbers. Further 5th
position will contain 5 as 0 does not occur.
| Is This Answer Correct ? | 16 Yes | 2 No |
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