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Messrs Butcher, Baker, Carpenter and Plumber are currently attending another convention. Noone is currently, nor ever has been in the same profession as their name and noone has had the same profession twice. Alan is now a butcher, whereas Mr Brian Butcher used to be a baker. The person who is now a carpenter used to be a butcher. Charles has never been a baker, Mr Darren Carpenter has never been a butcher and Mr Baker is not now a carpenter. Can you determine their full names, along with their current and previous professions?
Answer:
The temperatures were 6, 2, 2, 6, 10 °C.
Each day increased by a steady 4 degrees.
As the temperature rose steadily each day and the average was 2 degrees, we know the middle temperature was 2 degrees.
If we assume a daily increase of 1, the sequence would be 0, 1, 2, 3, 4. This doesn't work we require 2 negative temperatures.
If we assume a daily increase of 2, the sequence would be 2, 0, 2, 4, 6. This doesn't work we require 2 negative temperatures.
If we assume a daily increase of 3, the sequence would be 4, 1, 2, 5, 8. This doesn't work as the product is less than 500.
If we assume a daily increase of 4, the sequence would be 6, 2, 2, 6, 10. This matches all of the requirements.
If we assume a daily increase of 5, the sequence would be 8, 3, 2, 7, 12. This doesn't work as the product is more than 2000.
So the only possible answer is 6, 2, 2, 6, 10.
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