### Brain Teasers

# A Unique Series

What number completes this series?

0, 1, 2, 4, 5, 6, 8, 10, 40, 46, 60, 61, 64, 80, 84, ?

0, 1, 2, 4, 5, 6, 8, 10, 40, 46, 60, 61, 64, 80, 84, ?

### Hint

Think of the names of the numbers (ZERO, ONE, ...). Compare them to the names of the numbers that are not in the series (THREE, SEVEN, ...).### Answer

The last number is 5000.The only integer names with no repeated letters are ZERO, ONE, TWO, FOUR, FIVE, SIX, EIGHT, TEN, FORTY, FORTY-SIX, SIXTY, SIXTY-ONE, SIXTY-FOUR, EIGHTY, EIGHTY-FOUR, and FIVE THOUSAND.

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