Puzzle 225
Bungled Heist - Logic Puzzles
After a local bungled heist, five suspects were being interviewed by the police.
Eventually, the police managed to get a confession.
Below is a summary of their statements and it turns out that exactly 5 of these statements were true.
Would you make a good detective, try and work out who committed the crime?
Alex said:
It wasn't Brook
It was Charlie
Brook said:
It wasn't Alex
It was Dale
Charlie said:
It wasn't Dale
It wasn't Brook
Dale said:
It wasn't Emery
It was Alex
Emery said:
It wasn't Charlie
It was Dale
Puzzle Copyright © Kevin Stone
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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 226
This is an annoying paragraph, in which you try and work out what is unusual about it. This paragraph has a quandary though. A solitary word has found a way to slink into this paragraph, to fox your fun, by going against all my jazzy plans. What is that word? Don't try to run a utility to assist you, that would spoil all of my attempts to absorb all of your avid skills in this mind blowing prank.
Puzzle Copyright © Kevin Stone
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Hint
Is there a missing letter?
Answer
Attempts.
This word contains the only letter E in the entire paragraph, notice how every other letter appears at least once.
Although the letters C, E, J, Q, V, X each all appear once, the longer the piece of text the more difficult it is to avoid the letter E.
Puzzle 227
Which one of these letters is the odd one out?
Puzzle Copyright © Kevin Stone
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Hint
These are all Greek letters.
Answer
θ (theta).
Reasoning
These are all Greek letters, and they are:
xi, chi, theta, psi, pi, phi
They all sound similar to each other, except θ.
Puzzle 228
How many grains of sand do you need...
...until you have a heap of sand?
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Hint
Is a million grains of sand a heap?
Answer
We can probably agree on two things:
A million grains of sand is a heap.
If we remove one grain of sand from this heap, we will still have a heap.
We can now keep repeating (2) until we only have a single grain of sand remaining.
Is this a heap? Clearly not. But what went wrong with our thinking?
This is called the Sorites paradox (soros being Greek for "heap") and is a classic paradox that has no real answer.
Both (1) and (2) are true, and we can indeed keep removing one grain of sand until we have a single grain remaining. If we remove one more grain, we're left with nothing, is this still a heap?
When does the heap become a non-heap?
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