Puzzle 65
Alex Smith was born on December 25th , 1971, yet their birthday is always in the summer.
How is this possible?
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Hint
They can't have been born in the USA then.
Answer
They live in Australia, but they could have been born anywhere South of the equator, where the seasons are reversed.
Puzzle 66
Art Theft – Logic Puzzles
After a local art theft, six suspects were interviewed.
Below is a summary of their statements.
Police knew that exactly four of them told one lie each, and all the other statements were true.
From this information, can you tell who committed the crime?
Alex said:
It wasn't Billie
It wasn't Drew
It wasn't Emery
Billie said:
It wasn't Alex
It wasn't Chris
It wasn't Emery
Chris said:
It wasn't Billie
It wasn't Frankie
It wasn't Emery
Drew said:
It wasn't Alex
It wasn't Frankie
It wasn't Chris
Emery said:
It wasn't Chris
It wasn't Drew
It wasn't Frankie
Frankie said:
It wasn't Chris
It wasn't Drew
It wasn't Alex
Puzzle Copyright © Kevin Stone
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If Alex had committed the crime, how many lies would there be?
Answer
Chris committed the crime.
Reasoning
We know that exactly 4 lies were told.
If it was Alex, then 3 lies would have been told (by those who said it wasn't Alex).
If it was Billie, then 2 lies would have been told.
If it was Chris, then 4 lies would have been told.
If it was Drew, then 3 lies would have been told.
If it was Emery, then 3 lies would have been told.
If it was Frankie, then 3 lies would have been told.
Therefore, it can only have been Chris.
Double-Checking
Since it was Chris, there were 14 truths, and 4 lies, for a total of 18 clues.
Puzzle 68
Traffic was bad going to work this morning. I only managed to average 30 mph.
How fast must I go home tonight, along the same route, to average 60 mph for the entire round trip?
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It doesn't matter what the distance is, so try a random distance.
Answer
This cannot be done.
It does not matter how far the trip is, let's assume that it is random distance, say 60 miles, and remembering that Time = Distance ÷ Speed.
The morning trip took 60 miles ÷ 30 mph = 2 hours.
To average the required 60 mph, we would have to travel the total distance (of 120 miles) in 2 hours. However, we've already used all of the two hours for the morning trip!
Choosing any random distance would also show that it can't be done.
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