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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.
- 10 Answers
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Answer / 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 |
Answer / cain
The correct answer is 381654729. the previous one doesn't
satisfy the division by 7.
| Is This Answer Correct ? | 32 Yes | 5 No |
Answer / manvendra singh
|3|8|1|6(5)4|7|2|9|
use some basic math fundamentals...............
| Is This Answer Correct ? | 2 Yes | 0 No |
Answer / unknown
can sm1 post the logic behind this question.... i mean the
explanation to solve this problem...
or u applied hit n trial??
| Is This Answer Correct ? | 4 Yes | 3 No |
Answer / muneesh kumar
183654729
There is a magic combination as 1 3 5 7 9
8 6 4 2
as it is not problem in dividing 1 and 3 by interchanging them but there is a problem in dividing 5 as it is either divisible by 5 or 0 , since 0 is not allowed so 5 should be there .after placing another numbers we can get lot of combinations except 5 as it has to be at 5th position.
| Is This Answer Correct ? | 0 Yes | 0 No |
Answer / atul kumar
There are more than one answers of this Q...infact many. Two
of such numbers are: 123258888 and 123252561.
| Is This Answer Correct ? | 5 Yes | 67 No |
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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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