Invert your thinking.....
Find the next number of this series Apply a twisted logic.... You always have 3 chances!!!
0,1,2,3,4,5,6,7,8,9,11,__
The answer is 22.
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2 solutions
Here are the set of other answers that could fit
f ( x ) = x − 1 , for x = 1, 2, ..., 10 f ( x ) − x + 1 = c ( x − 1 ) ( x − 2 ) . . . ( x − 1 0 ) f ( 1 1 ) − 1 1 + 1 = c ( 1 0 ) ( 9 ) . . . ( 1 ) c = 1 / 1 0 ! f ( x ) = x − 1 + ( 1 / 1 0 ! ) ( x − 1 ) ( x − 2 ) . . . ( x − 1 0 ) f ( 1 2 ) = 1 1 + ( 1 / 1 0 ! ) ( 1 1 ) ( 1 0 ) . . . ( 2 ) ⟹ f ( 1 2 ) = 2 2
All of these numbers are palindrome numbers... A palindrome number is one which reads the same when read forwards and backwards.
Hence the next number in this series would be 22.