Puzzle 513
Paintballing Weekend - Logic Puzzles
During an exciting weekend of paintball, four friends were having great fun.
The paintballs came in blue, green, yellow and red.
Coincidentally, the four friends had T-shirts in those same colours.
Billie used blue paintballs.
The person in the green T-shirt used yellow paintballs.
Charlie was not wearing a red T-shirt.
Drew used green paintballs and wore a blue T-shirt.
Alex was the only person who used paint which was the same colour as their T-shirt.
Can you tell which colour paint they each used and the colour of their respective T-shirts?
Puzzle Copyright © Kevin Stone
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Hint
Start by using clues (1) and (4), and then look at clues (5) and (2) to find who wore the green T-shirt.
Answer
Wore Paint
Alex red red
Billie yellow blue
Charlie green yellow
Drew blue green
Reasoning
By (1), Billie used Blue paintballs:
Wore Paint
Alex
Billie blue
Charlie
Drew
By (4), Drew used Green paintballs and wore a Blue T-shirt:
Wore Paint
Alex
Billie blue
Charlie
Drew blue green
By (5), Alex was the only person who used paint that was the same colour as their T-shirt, which means by (2) that Charlie wore the Green T-shirt and used Yellow paintballs:
Wore Paint
Alex
Billie blue
Charlie green yellow
Drew blue green
This leaves Alex with the Red paintballs, and by (1), the Red T-shirt.
Wore Paint
Alex red red
Billie blue
Charlie green yellow
Drew blue green
Leaving Billie wearing Yellow.
Wore Paint
Alex red red
Billie yellow blue
Charlie green yellow
Drew blue green
Puzzle 514
In each of these sentences, can you replace the missing number.
The number is written as a word (e.g. five, twenty-four, thirty-three), and each sentence is correct after the replacement.
This sentence contains exactly {?} E's and not one more.
However, this sentence contains exactly {?} S's, with a single Z.
Finally, to finish, this sentence has exactly {?} I's.
Puzzle Copyright © Kevin Stone
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Hint
Start by counting the letters you're given.
Answers
This sentence contains exactly eight E's and not one more.
However, this sentence contains exactly seven S's, with a single Z.
Finally, to finish, this sentence has exactly six I's.
Puzzle 515
BrainBashers Derby - Logic Puzzles
After the local BrainBashers Horse Show, some friends were telling everyone who had won.
Unfortunately, the friends were having trouble remembering, and in the course of the afternoon, they changed their minds a number of times.
In summary, they made the following statements:
Andy said:
Taylor Tripton won with Evening Sunrise.
Alex Ambleton won with Morning Sunset.
Frankie Flanton won with Evening Sunrise.
Billie said:
Sam Spinton won with Midday Night.
Frankie Flanton won with Evening Sunrise.
Taylor Tripton won with Morning Sunset.
Chris said:
Alex Ambleton won with Midday Night.
Sam Spinton won with Midday Night.
Sam Spinton won with Morning Sunset.
Dale said:
Alex Ambleton won with Evening Sunrise.
Frankie Flanton won with Morning Sunset.
Sam Spinton won with Midday Night.
However, none of the statements were fully true.
In fact, just six of the statements were exactly half true (either the person won, or the horse did), the rest were false.
Can you determine who won, and which horse they were showing?
Puzzle Copyright © Kevin Stone
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Hint
Could Alex Ambleton have won?
Answer
Taylor Tripton won with Midday Night.
Reasoning
Before we begin the reasoning, let's look at the hint: 'Could Alex Ambleton have won?'. There are three horses in the puzzle, and Alex Ambleton is stated to have won with all three of them. We know that none of the statements were fully true, so Alex couldn't have won otherwise one of the statements would have been fully true.
By grouping the clues together, we have:
1. Frankie Flanton won with Morning Sunset.
2. Frankie Flanton won with Evening Sunrise.
3. Frankie Flanton won with Evening Sunrise.
4. Sam Spinton won with Midday Night.
5. Sam Spinton won with Midday Night.
6. Sam Spinton won with Midday Night.
7. Sam Spinton won with Morning Sunset.
8. Taylor Tripton won with Morning Sunset.
9. Taylor Tripton won with Evening Sunrise.
10. Alex Ambleton won with Midday Night.
11. Alex Ambleton won with Morning Sunset.
12. Alex Ambleton won with Evening Sunrise.
We know that none of these statements were fully true, so, we know that (for example) it wasn't Frankie Flanton with Morning Sunset.
We can create a grid of all the possibilities and place an X where we know that it can't have been that combination:
| |
M-N |
M-S |
E-S |
| Frankie |
|
X |
X |
| Sam |
X |
X |
|
| Taylor |
|
X |
X |
| Alex |
X |
X |
X |
We now have an X for all but 3 possibilities, and we know that exactly 6 of the clues must be half true.
So…
…if it was Frankie Flanton with Midday Night then exactly 7 clues would be half true (clues 1, 2, 3, 4, 5, 6, 10).
…if it was Sam Spinton with Evening Sunrise then exactly 8 clues would be half true (clues 4, 5, 6, 7, 2, 3, 9, 12).
…if it was Taylor Tripton with Midday Night then exactly 6 clues would be half true (clues 8, 9, 4, 5, 6, 10) – so this must be the correct answer.
Puzzle 516
Which cheese is...
...made backwards?
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Hint
The answer is in the question.
Answer
Edam.
MADE backwards!
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