5 replies to this topic

[Debasis]

complete the following series ...it is a bit harder than the previous ones...

11, 12, 13, 14, 15, 16, 17, 20, 22, 24, ? , 100, 121, ?

[bonanova]

Spoiler for Basically

31?

[BobbyGo]

complete the following series ...it is a bit harder than the previous ones...

11, 12, 13, 14, 15, 16, 17, 20, 22, 24, ? , 100, 121, ?

 

By chance, should the last shown number be 112 instead of 121?

 

Spoiler for possibly

11, 12, 13, 14, 15, 16, 17, 20, 22, 24, 26 , 100, 112^?, 125

 

It looks like the numbers are in base 8, and the decimal digit(s) "higher" than the one's position is converted to base 8 and added to itself to produce the next number in the series.

 

I'm don't know if I'm saying that right, but I can't think of another way to phrase it.  As an example, take the second number in the series, 12.  The decimal value above the one's position is 1, converted to base 8 is still 1, and then added to 12 to make 13, the next number.  Similarly, the decimal value above the one's position of 100 is 10, converted to base 8 is 12, and then added to 100 to make 112, possibly the next number.

 

Or maybe I'm just off my rocker again. 

(Which seems to happen all too easily.)

 

If the 121 is correct, then perhaps the last number is 162 instead of 125?

 

Edited by BobbyGo, 14 March 2013 - 04:35 PM.

[k-man]

Spoiler for

31 and 10000

Spoiler for explanation

Number 16 represented in base 16-n, for n in 1..14

[bonanova]

Spoiler for

31 and 10000

Spoiler for explanation

Number 16 represented in base 16-n, for n in 1..14

 

  Good solve ...  although I got the "basic" nature of the puzzle, I did not see the second "?" in the OP.

[vinay.singh84]

How about

11, 12, 13, 22, 15, ?, 17, 32, 23, 111, ?