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Use all nine (Posted on 2012-06-08) Difficulty: 3 of 5
What 6-digit number ABCDEF is divisible evenly by GHI ?

Rem 1: The letters represent 9 distinct non-zero digits.
Rem 2: The digits A,B,C,D,E are in increasing order.
Rem 3: There are several solutions.

No Solution Yet Submitted by Ady TZIDON    
Rating: 5.0000 (1 votes)

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Solution answer | Comment 1 of 3

The list of solutions where ABCDEF is a 6-digit number evenly divisible by GHI, such that each letter represents a different non-zero decimal digit, and where A,B,C,D and E are in increasing order are:
ABCDEF GHI
125673 489
136782 459
147896 532
156784 239
156792 834
156894 237
246789 153
256794 381
257891 463
345681 279
345897 621
567891 243
567892 134

Only one member of the list exists where A, B, C, D, E and F are in increasing order:
ABCDEF GHI
246789 153

Edited on June 9, 2012, 3:01 pm
  Posted by Dej Mar on 2012-06-09 09:23:31

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