Question: Do you know the missing number in the given series? 10, 11, 12, 13, 14, 15, 16, 17, 20, 22, 24, ___ , 100, 121, 10000
Answer:
The missing number is 31.
The pattern is - Sixteen in the base n for n = 16, 15, ..., 2.
16 in the base 16 = 10
16 in the base 15 = 11
16 in the base 14 = 12
16 in the base 13 = 13
16 in the base 12 = 14
16 in the base 11 = 15
16 in the base 10 = 16
16 in the base 9 = 17
16 in the base 8 = 20
16 in the base 7 = 22
16 in the base 6 = 24
16 in the base 5 = 31
16 in the base 4 = 100
16 in the base 3 = 121
16 in the base 2 = 10000
Thus, the complete series is - 10, 11, 12, 13, 14, 15, 16, 17, 20, 22, 24, 31, 100, 121, 10000