During a recent police investigation, Chief Inspector Stone was interviewing five local villains to try and identify who stole the prize cake from the mid-summers fayre. Below is a summary of their statements:
Alex: it wasn't Emery
it was Billie
Billie: it wasn't Charlie
it wasn't Emery
Charlie: it was Emery
it wasn't Alex
Dale: it was Charlie
it was Billie
Emery: it was Dale
it wasn't Alex
It was well known that each suspect told exactly one lie. Can you determine who stole the cake?
Reasoning
Looking at Billie's statements, one of the statements was a lie and the other was the truth. Therefore, it must have been either Charlie or Emery.
Looking at Dale's statements, for the same reason, it was either Charlie or Billie.
Therefore, it must have been Charlie who committed the crime.
Double-checking this against the other statements confirms this.
?
Puzzle 6
I recently went to the shop and purchased 4 items.
Three of the items cost:
$1.50
$3.00
$4.00
There was quite a long queue, and as I was quite bored, I was playing with my pocket calculator while I waited.
Very curiously, the 4 prices added to the same number as I got when I multiplied the 4 prices together.
After the recent BrainBashers drone racing contest, the four contestants were congratulating each other.
Only one drone had the same race number as the position it finished in. Adrian's drone wasn't painted yellow, or blue. Andy's drone beat Avery's drone, whereas Alex's drone beat the drone with race number #1. The drone painted green (Alex's) finished second, and the drone painted blue had race number #4. The drone that had race number #3 was painted red, and beat the drone that finished third. Avery's drone had race number #1.
Can you work out whose drone finished where, its race number, and the colour it was painted?
Hint
Alex's drone finished second, so where did the red drone finish?
Answer Pos Owner # Colour
1 Adrian #3 red
2 Alex #2 green
3 Andy #4 blue
4 Avery #1 yellow
Reasoning
The four colours were: Blue, Green, Red, Yellow.
The four contestants were: Adrian, Alex, Andy, Avery.
By (4), second place was Green, and owned by Alex.
1
2 Alex green
3
4
By (5), Red beat third place, and since Green was second, Red must have been first (and had race number #3).
1 #3 red
2 Alex green
3
4
By (2), Adrian's drone was Red or Green, but we now know that Alex's drone was Green, so Adrian's drone was Red.
1 Adrian #3 red
2 Alex green
3
4
By (3), Andy beat Avery, so they were third and fourth respectively.
1 Adrian #3 red
2 Alex green
3 Andy
4 Avery
By (6), Avery's drone had race number #1.
1 Adrian #3 red
2 Alex green
3 Andy
4 Avery #1
By (1), second place must have had race number #2 (as first place had race number #3, and fourth place had race number #1).
1 Adrian #3 red
2 Alex #2 green
3 Andy
4 Avery #1
Which leaves third place with race number #4, and by (4) was Blue.
1 Adrian #3 red
2 Alex #2 green
3 Andy #4 blue
4 Avery #1
Which leaves fourth place as Yellow.
1 Adrian #3 red
2 Alex #2 green
3 Andy #4 blue
4 Avery #1 yellow
