Brain Teasers
Base Instinct
What is the missing value in the following list?
17 18 21 23 25 ? 101 122 10001
17 18 21 23 25 ? 101 122 10001
Hint
This list ends at 10001. It does not continue to the right.Check the teaser's title.
Answer
The missing value is 32.These are the representations of the decimal value 17 in decreasing number bases, down to binary.
Base 10: 1x10 + 7x1 = 17
Base 9: 1x9 + 8x1 = 17
Base 8: 2x8 + 1x1 = 17
Base 7: 2x7 + 3x1 = 17
Base 6: 2x6 + 5x1 = 17
Base 5: 3x5 + 2x1 = 17 <- Missing value 32
Base 4: 1x16 + 0x4 + 1x1 = 17
Base 3: 1x9 + 2x3 + 2x1 = 17
Base 2: 1x16 + 0x8 + 0x4 + 0x2 +1x1 = 17
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Comments
Interesting idea for a teaser.
I liked the idea. It was fun to convert between bases, and puzzling enough that I needed a hint. Good job!
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