3
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If you give me a 5, I give you a 21.
If you give me a 6, I give you a 2.
If you give me a 7, I give you a 12.
If you give me a 10, I give you a 101.

What am I processing to get the result?

Hint 1

If you give me a 3, I give you a 1.

Hint 2

This has some thing to do with a reversed 3.

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1
  • $\begingroup$ Just to clarify, this is not a maths problem, it has just a bit to do with numbers. $\endgroup$
    – math scat
    Dec 18, 2020 at 17:52

1 Answer 1

7
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It looks like the answer is

The number in base 3, with the digits reversed.

So 5 is

12 base 3, reversed is 21

6 is

20 base 3 reversed is 02 (drop the leading 0)

7 is

21 base 3, reversed is 12

And 10 is

101 base 3, same reversed.

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3
  • $\begingroup$ What????????????? In less than a minute? $\endgroup$
    – math scat
    Dec 18, 2020 at 17:55
  • 1
    $\begingroup$ Would have taken me longer without hint 2. I was mostly there anyway, but hint 2 just made it obvious. $\endgroup$ Dec 18, 2020 at 17:55
  • $\begingroup$ Sorry, can accept only in 10 minutes. $\endgroup$
    – math scat
    Dec 18, 2020 at 17:56

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