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- Thread starter arcnets
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Ben-CS

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Good, Ben-CS. Except the L in LCD means largest not least. - Anyone?

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Ben-CS

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Njorl

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Now, either x or x+1 is even, along with two other numbers. Regardless, we can redefine the set that is not divisible by 2 as y,y+2,y+4 with y defined as odd. The other numbers are multiples of 2.

Only one of these can be divisble by 3. Any multiple of 3 +/- 2 or 4 is not a multiple of 3.

We might think that if y is a multiple of 4, that y+4 would be as well, but none of them is even, so none of them is a multiple of 4.

For any higher multiples, if y=nz, where z>4, (n+1)z>y+4, ruling out higher multiples.

Njorl

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Correct IMO, Njorl.

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consider a set of 11 numbers

Define the that sets can you do the following:

Remove 1 arbritary number from the set then divide the set in to 2 subsets of 5 numbers each and make sure that the sum of the numbers of the first subset equals the sum of the numbers of the second subset.

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