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KCC's Quizzes: Strange Coding

A special coding is used to compress 4-digits numbers into one. Can you crack it by giving the value for the last number (in red)?

8809 = 6

5555 = 0

7111 = 0

8193 = 3

2172 = 0

8096 = 5

6666 = 4

1012 = 1

1111 = 0

7777 = 0

3213 = 0

9999 = 4

7662 = 2

7756 = 1

9313 = 1

6855 = 3

0000 = 4

9881 = 5

2222 = 0

5531 = 0

3333 = 0

2581 = ?

                                                                                   



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[edited by: emassa at 8:41 PM (GMT -4) on 13 Mar 2023]
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  • Each digit in the 4 digit number has a value associated with it, and the result is the sum of those values.

    1111, 2222, 3333, 5555, and 7777 all have zero as a result, so 1, 2, 3, 5, and 7 digits are all have a value of zero.

    0000, 6666, and 9999 have 4 as a result, so 0, 7 and 9 have a value of 1.

    8809 =6, so the digit 8 must have a value of 2 (2+2+1+1)

    From the above we now know that 2581=0+0+2+0=2

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