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Safe Crack II (Posted on 2014-06-02) Difficulty: 3 of 5
Bernardo has forgotten the password of his safe. However he remembers that:
  1. The number is a ten digit positive integer using each of the digits from 0 to 9 exactly once.
  2. No digit is the same as the position which it occupies in the said number.
  3. The sum of the 5th and 10th digits is a perfect square other than 9.
  4. The sum of the 9th and 10th digits is a perfect cube.
  5. The 2nd digit is an even number.
  6. Zero is in the 3rd position.
  7. The sum of the 4th, 6th and 8th digits is a single digit number.
  8. The sum of the 2nd and 5th digits is a triangular number.
  9. There is precisely one digit between 8 and 9.
  10. 3 is next to 9 but not next to zero.
From the above clues, can you help Bernardo to crack the password to open the safe?

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
SolutionSolutiontomarken2014-06-02 11:46:46
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