- #1
K Sengupta
- 113
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Determine all possible value(s) of a 8-digit base 10 positive integer having the form ABCDEFGH, where each of the capital letters denotes a different digit from 1 to 9, that satisfy each of the following conditions:
(I) AB is divisible by 2, and:
(II) BC is divisible by 6, and:
(III) CD is divisible by 7, and:
(IV) DE is divisible by 5, and:
(V) EF is divisible by 8, and:
(VI) FG is divisible by 9, and:
(VII) GH is divisible by 4
(I) AB is divisible by 2, and:
(II) BC is divisible by 6, and:
(III) CD is divisible by 7, and:
(IV) DE is divisible by 5, and:
(V) EF is divisible by 8, and:
(VI) FG is divisible by 9, and:
(VII) GH is divisible by 4
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