Help!

[Gschill]

Hi , these were my homework problems:

I am keen in maths, but i am just not that good at it please help me.

 

The number 53214 has five digits: 1,2,3,4,5. It has an unusual property. The number 532 is divisible by 4 ; the number 321 is divisible by 3 ; and the number 214 is divisible by 2.

 

a. Show that the number 41325678 , which has eight digits 1, 2,.....,8, has a similar property: its first three digits form a number divisible by 7, the three digits following the first digit form a number divisible by 6, and so on.

 

 

 

Let ABCDEFGH be an eight digit number where A,B,C,D,E,F,G,H are the digits 1,2,3,4,5,6,7,8 in some order. For example A= 4, B=1, C=3, D=2, E=5, F=6, G=7, H=8 gives the number in a.

 

b. Find the other eight-digit numbers ABCDEFGH in which the three-digit number ABC is divisible by 7, the three-digit number BCD is divisible by 6, CDE is divisible by 5, DEF is divisible by 4, EFG is divisible by 3 and FGH is divisible by 2. Your answer should make it clear that you have found them all.

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Have you tried at all? What'd you get so far?