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yessuresh
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If the five-digit number 5DDDD is divisible by 6, then 27 May 2006, 15:07
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If the five-digit number 5DDDD is divisible by 6, then determine the digit D.



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deowl
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If the five-digit number 5DDDD is divisible by 6, then 27 May 2006, 15:12
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D=4

Only 5 options for D - 0,2,4,6,8, and 5+4*D should be divisible by 3
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guptaraja
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If the five-digit number 5DDDD is divisible by 6, then 27 May 2006, 15:12
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4.
its divisible by 2 , hence the digit could be one of 2,4,6,8,0

and the sum of 5 + 4*D should be divisible by 3 . hnec the solution is 4
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If the five-digit number 5DDDD is divisible by 6, then 31 May 2006, 11:45
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For divisiblity by 6, sum of digits has to be a mutiple of 3 and last digit even.

Test 2

52222 - does not work since sum of digits is 13

Test 4

54444 - works - sum of digits is divisible by 3 and last digit is even
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If the five-digit number 5DDDD is divisible by 6, then 31 May 2006, 13:17
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Hi-
could someone explain "5+4*D should be divisible by 3?"

I just figured it had to be even- then tried 4 b/c 54/6 is an integer...
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If the five-digit number 5DDDD is divisible by 6, then 31 May 2006, 15:11
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kook44
Hi-
could someone explain "5+4*D should be divisible by 3?"

I just figured it had to be even- then tried 4 b/c 54/6 is an integer...
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There's a shortcut you can use when determining divisability. Basically, a number is divisble by 3 if the sum of all the digits is divisible by 3.

5+4*D is the sum of the digits.
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If the five-digit number 5DDDD is divisible by 6, then 31 May 2006, 20:06
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Yes should be 4.
Nice explainations above.
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bz9
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If the five-digit number 5DDDD is divisible by 6, then 31 May 2006, 20:59
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Yeah, great explanation. Especially the sum of the digits one makes it so easy and clear.



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