TESTfunda Puzzle of the Week 18-Apr-14

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 Story Marathon Contest 2014
 
 
Testfunda
18-Apr-14
Puzzle of the Week
Puzzles #309 - "Simran's Phone Number"
17-Apr-14
Raj, who was in love with Simran, one day asked her for her phone number in front of his friends. Since she did not want her 10-digit mobile number to be circulated, she told him that she would give it to him later. The next day, she gave Raj a sheet with some sentences (mentioned below) written on it. Can Raj find her mobile number, just from the sentences?

1.    It uses all but two digits.
2.    The sum of all the digits in my number is equal to the sum that you would have obtained had all digits been represented in my number.
3.    The first two digits of my number are the same. This logic also applies to the sixth and seventh digit.
4.    The third digit and fourth digit, taken individually as well as collectively, are perfect squares.
5.    The sum of the first three digits is equal to the sum of the last three digits.
6.    The number formed by taking the third and fourth digit together is half the number formed by taking the fourth and fifth digit together.
7.    ‘0’ is two places away from ‘9’, ‘1’, ‘8’ as well as ‘7’.
8.    ‘1’ is to the immediate left of a prime number and second to the left of a perfect number.
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If you have ideas on how to solve it, or would like to discuss it with other users, we recommend that you put your thoughts in the comments section. Please don't post complete solutions for the ongoing puzzle before the results are declared.
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