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There is a magical number that will unlock the wealth of a lifetime for Uncle Scrooge. The number opens the lock to a safe and Uncle Scrooge has a tattered piece of paper that has clues written over it. The clues for number are:
The number has the same digits as the number of fingers on a normal man’s hands.
The fourth digit is greater than the second digit by the same number as a six feet tall man is taller than a 2 feet tall midget.
The third digit is unluckily smaller than the second digit by 3.
The first digit is one holds the sway over the last digit by being thrice the last digit.
These peculiar numbers have 3 pairs of two digits whose sum adds up to 11.

What is the value of this magical number?

Click here to learn more

As per given conditions, there are three possible combinations for 2nd, 3rd and 4th digits. They are (3, 0, 7) or (4, 1, 8) or (5, 2, 9) It is given that there are 3 pairs whose sum is 11. All possible pairs are (2, 9), (3, 8), (4, 7), (5, 6). Now required number is 5 digit number and it contains 3 pairs of 11. So it must not be having 0 and 1 in it. Hence, the only possible combination for 2nd, 3rd and 4th digits is (5, 2, 9) Also, 1st digit is thrice the last digit. The possible combinations are (3, 1), (6, 2) and (9, 3), out of which we select (6,2). We does this as only then can be obtain the third pair of numbers adding up to 11. Hence, the number is: 65292
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