BrainBashers - Random Puzzles

Puzzle 1

Marathon Results – Logic Puzzles

The recent BrainBashers annual marathon has just taken place.

The judges have given up keeping track of who won, as the results go missing every year.

Using the following spectators' notes, can you determine who finished where?

Terry Tipton finished after Lake Linkerton and Alex Adams but before Mason Miller.
Pat Peterson finished before Dale Dartford and Lake Linkerton.
Ryan Richards finished after Pat Peterson and before Jesse Jacks and Harper Hall.
Kelly Kirkpatrick finished after Pat Peterson, Mason Miller, and Terry Tipton.
Lake Linkerton finished after Alex Adams and Dale Dartford but before Jesse Jacks and Mason Miller.
Mason Miller finished after Ryan Richards and Alex Adams.
Alex Adams finished before Jesse Jacks, Mason Miller, and Pat Peterson.
Dale Dartford finished before Kelly Kirkpatrick and Terry Tipton but after Ryan Richards.
Jesse Jacks finished before Kelly Kirkpatrick, Terry Tipton, and Mason Miller, but after Pat Peterson and Dale Dartford.
Harper Hall finished before Mason Miller but after Lake Linkerton, Jesse Jacks, and Terry Tipton.

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Puzzle 2

What 5-digit number am I thinking of?

It has two prime digits. Digit 3 is the highest digit. Digit 2 is the lowest digit. Digit 1 is higher than the sum of digits 4 and 5. Digit 5 is half of digit 4. Digit 1 is one smaller than digit 3. Digit 5 is between digit 2 and digit 1
The digit 0 doesn't appear, and there are no duplicates. Don't forget that 1 isn't prime, the prime numbers start with 2, 3, 5, …

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Puzzle 3

Apparently, one side of a cat has more hair. The findings of the scientific establishment have been corroborated by a special enquiry by the BB Feline Federation. Many hair counts were taken of the side in question and consistently it was found to contain more hairs. The scientists determined that more hair was required on this side to insulate the cat from the elements while it was lying down. Perhaps you would like to examine a cat to confirm the findings. Before you do, can you guess which side of a cat has more hair?

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Puzzle 4

What is the smallest positive integer which …

… when multiplied by 3 gives a number consisting of only 4's?

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