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# How do we respond?

3 replies to this topic

### #1 Rob_Gandy

Rob_Gandy

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Posted 05 September 2012 - 11:24 PM

I remember seeing a couple posts similar to this one some time back and thought I'd try my hand at one.

Here is the situation:
While scanning space for signs of life a group of scientists receive a series of messages the last of which requires a response. The messages are translated as follows:

12 % 10 = 8

4 % 6 = 4

9 % 7 = 6

11 % 13 = 6

5 % 15 = 2

14 % 16 = ___

What number do we need to respond with?

Spoiler for Basically...

• 0

### #2 bonanova

bonanova

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Posted 07 September 2012 - 06:45 AM

I started with ANDing the binary representations, but it worked only for the first two. Good puzzle.

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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

### #3 wolfgang

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Posted 07 September 2012 - 03:03 PM

I tried this:
(12-8)-(10-8)=2
(4-4)-(6-4) =-2
(9-6)-(7-6) =2
(11-6)-(13-6)=-2
but this role does not work with 5%15=2
otherwise, the missing number should be =0
• 0

### #4 Rob_Gandy

Rob_Gandy

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Posted 07 September 2012 - 04:40 PM

I tried this:
(12-8)-(10-8)=2
(4-4)-(6-4) =-2
(9-6)-(7-6) =2
(11-6)-(13-6)=-2
but this role does not work with 5%15=2
otherwise, the missing number should be =0

Spoiler for Not quite what I had in mind

• 0

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