Hint
How many statements would be true if the culprit was Alex?
Answer
Emery committed the crime.
Reasoning
If we assume that Alex was the culprit, we can see that there would be 6 true statements, but we know there were exactly 5 true statements, so it can't be Alex.
We can repeat this will all five suspects and quickly see that only Emery being the culprit would result in exactly 5 statements being true.
?
Puzzle 7
Three builders are laying a brick wall.
Freddie can lay 1,000 bricks in three hours, Jimmy can lay 1,000 bricks in two hours and Kevin can lay 1,000 bricks in six hours.
How long will it take Freddie, Jimmy, and Kevin to lay 1,000 bricks if they all work together?
In six hours, Kevin lays 1000 bricks, Freddie lays 2000 bricks, and Jimmy lays 3000 bricks.
So, in six hours, we have a total of 6000 bricks laid.
Which means that it will take one hour to lay 1000 bricks.
?
Puzzle 8
Three teachers were discussing how long they had been teaching.
Alex and Billie had been teaching for a total of 36 years. Charlie and Billie had been teaching for a total of 22 years. Charlie and Alex had been teaching for a total of 28 years.
How long had each been teaching?