Puzzle 57
If it took …
… Alex, Billie and Charlie exactly 60 minutes to dig a hole …
how long would it take for them …
… to dig half a hole?
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Hint
How large is the hole?
Answer
You cannot have half a hole!
Puzzle 58
Bank Robbery #2all logic puzzles
After a local bank robbery, four suspects were interviewed. Below is a summary of their statements.
The police know that each of them told the truth in one of the statements, but lied in the other.
From this information, can you tell who committed the crime?
Ashley said:
It wasn't Drew
It wasn't Billie
Billie said:
It wasn't Casey
It was Drew
Casey said:
It was Ashley
It wasn't Drew
Drew said:
It was Casey
It wasn't Ashley
Puzzle Copyright © Kevin Stone
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Hint
Remember that each of them told the truth in one of their statements, but lied in the other.
Answer
Billie robbed the bank.
Reasoning
We know that each of them told the truth in one of the statements and lied in the other.
So according to Ashley, as one of the statements is false, it must have been either Drew or Billie.
If it was Drew, then Billie's statements would both be true, which isn't allowed.
Therefore, it was Billie, which agrees with Casey and Drew's statements.
Puzzle 59
The following words have had their vowels removed, can you find the missing animals?
slth
rccn
mnky
llgtr
lphnt
lnd
gt
br
bbn
cyt
Puzzle Copyright © Kevin Stone
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Hint
One of the words is GOAT.
Answer
slth = sloth
rcn = raccoon
mnky = monkey
llgtr = alligator
lphnt = elephant
lnd = eland
gt = goat (or agouti)
br = bear (or boar)
bbn = baboon
cyt = coyote
Puzzle 60
Which is larger …
… the tenth root of 10, or the cube root of 2?
Puzzle Copyright © Kevin Stone
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Hint
You don't need to use a calculator.
Answer
Cube root of 2.
Reasoning
We could use a calculator to see that the tenth root of 10 = 1.2589 and the cube root of 2 = 1.2599.
But, if you've not got your calculator handy…
We have:
101/10 or 21/3
Raise each to the power of 30 (since 10 x 3 = 30) to give:
(101/10)30 or (21/3)30
101/10 x 30 or 21/3 x 30
103 or 210
1000 or 1024
Therefore, the cube root of 2 is larger.
