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?
- It uses all but two digits.
- 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.
- The first two digits of my number are the same. This logic also applies to the sixth and seventh digit.
- The third digit and fourth digit, taken individually as well as collectively, are perfect squares.
- The sum of the first three digits is equal to the sum of the last three digits.
- The number formed by taking the third and fourth digit together is half the number formed by taking the fourth and fifth digit together.
- ‘0’ is two places away from ‘9’, ‘1’, ‘8’ as well as ‘7’.
- ‘1’ is to the immediate left of a prime number and second to the left of a perfect number.