Puzzle 1
Cake Theft - Logic Puzzles
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 Blake
Blake: it wasn't Charlie
it wasn't Emery
Charlie: it was Emery
it wasn't Alex
Dale: it was Charlie
it was Blake
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?
Puzzle Copyright © Kevin Stone
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Hint
Look at Blake's statements first.
Answer
Charlie committed the terrible crime.
Reasoning
Looking at Blake'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 Blake.
Therefore, it must have been Charlie who committed the crime.
Double-checking this against the other statements confirms this.
Puzzle 2
You can replace the dots with the same four-letter word, and create two new words, one that starts with ARM, and one that ends in ING.
Can you find all possible four-letter words that work?
ARM....
....ING
Puzzle Copyright © Kevin Stone
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Hint
There are 4 possible answers.
Answer
BAND, LOAD, LOCK, REST all create new words:
ARMBAND and BANDING
ARMLOAD and LOADING
ARMLOCK and LOCKING
ARMREST and RESTING
Puzzle 3
If 7 ingots of IRON weigh 112 tonnes, 4 ingots of COBALT weigh 104 tonnes and 3 ingots of GOLD weigh 54 tonnes.
How heavy are 5 ingots of TIN?
Puzzle Copyright © Kevin Stone
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Hint
Start by looking at the consonants and vowels (AEIOU).
Answer
65 tonnes.
Vowels (AEIOU) are worth 3 and consonants are worth 5, added together and then multiplied by the number of ingots.
So TIN has 1 vowel (worth 3) and 2 consonants (worth 10).
Added gives 13, then multiplied by 5 ingots = 65.
Puzzle 4
Entry Exam Section B - Logic Puzzles
Here is a snippet of section B of the curious multiple-choice entrance exam into the exclusive BrainBashers puzzle club.
Q1. The answer to Q2 is:
A. B
B. A
C. D
D. C
Q2. The answer to Q3 is:
A. C
B. D
C. B
D. A
Q3. The answer to Q4 is:
A. D
B. A
C. C
D. B
Q4. The answer to Q1 is:
A. D
B. C
C. A
D. B
Puzzle Copyright © Kevin Stone
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Hint
Can Q1's answer be A?
Answer
1. D
2. C
3. B
4. A
The easiest way to solve this puzzle is to use Q1 to check the logic.
If Q1's answer was A, this tells us that Q2's answer is B, which tells us Q3's is D, which tells us Q4's answer is B, which tells us Q1's answer is C. A contradiction.
If Q1's answer was B, this tells us that Q2's answer is A, which tells us Q3's is C, which tells us Q4's answer is C, which tells us Q1's answer is A. A contradiction.
If Q1's answer was C, this tells us that Q2's answer is D, which tells us Q3's is A, which tells us Q4's answer is D, which tells us Q1's answer is B. A contradiction.
If Q1's answer was D, this tells us that Q2's answer is C, which tells us Q3's is B, which tells us Q4's answer is A, which tells us Q1's answer is D. Which is correct, and therefore the correct answer.
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