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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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Answer Posted / abhishek gupta
381654729 is the most correct answer as...
38 is divisible by 2 and the quotient is 19
381 is divisible by 3 and the quotient is 127
3816 is divisible by 4 and the quotient is 954
38165 is divisible by 5 and the quotient is 7633
381654 is divisible by 6 and the quotient is 63609
3816547 is divisible by 7 and the quotient is 545221
38165472 is divisible by 8 and the quotient is 4770684
381654729 is divisible by 9 and the quotient is 42406081
in other answers, the ans. either has digits repeating, or
it is incorrect, or the ans. doesn't have the proper
explanation as the people want.
| Is This Answer Correct ? | 47 Yes | 2 No |
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