# Guess me : A safe of a treasure chest can be unlocked with a 5 digit key. The following is known about it...............

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A safe of a treasure chest can be unlocked with a 5 digit key. The following is known about it. The 4th digit is 4 greater than the second digit, while the 3rd digit is 3 less than the 2nd digit. The 1st digit is thrice the last digit. There are 3 pairs whose sum is 11. Find the number.

posted Sep 9, 2015

The number is 6 5 2 9 2

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With the help clues provided in the image, can you find the 5 digit key?

Its a 5 digit number where…
1st digit denotes how many zeroes are there in the number
2nd digit denotes how many ones are there in the number
3rd digit denotes how many twos are there in the number
4th digit denotes how many threes are there in the number
5th digit denotes how many fours are there in the number

Jesse James' lesser known brother, Eddie has also decided to take up robbing banks for a living. He is unfortunately a little slow and has forgotten to bring the dynamite to blow open the safe!

Using logic, the following clues and a large amount of patience, can you figure out the 10 digit number to crack the safe?

*All digits from 0 to 9 are used exactly once.

*The sum of the 2nd, 5th, 6th and 8th digits is a single digit number.

*The 4th digit is a perfect square.

*The 3rd digit is 1.

*The sum of the 4th and 7th digits is a perfect square.

*The value of the 10th digit is twice that of the 2nd.

*The product of the 4th and 6th digits is equal to that of the 10th and 2nd digits.

*The 5 is next to the 6 but not the 4.