Snaps Road

The Snapsville Town Council decided to have some fun with numbering the houses in Snaps Road which was in a new residential development in the town. For reasons known only to the Council, they elected not to use house numbers that contained the digit 3 (eg. 13, 32, etc.) or numbers that were multiples of 5 or 7. If there were 30 houses in Snaps Street, what was the number of the last house?

Answer
The last house in Snaps Road was number 62.
The house numbers that were used in Snaps Road were:
1, 2, 4, 6, 8, 9, 11, 12, 16, 17, 18, 19, 22, 24, 26, 27, 29, 41, 44, 46, 47, 48, 51, 52, 54, 57, 58, 59, 61, 62.

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