Puzzle 825
What number comes next in this sequence:
986888
724864
143224
==??==
Puzzle Copyright © Kevin Stone
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Hint
The answer involves multiplication (for example, 9 x 8 = 72).
Answer
468.
Reasoning
If we split each line in the following way:
98 68 88
72 48 64
14 32 24
Each new line is generated by multiplying the digits two at a time and writing the result below.
For example, 9 x 8 = 72, so 72 appears directly below 98.
And 7 x 2 = 14, so 14 appears directly below 72.
Double-Checking
9 x 8 = 72 and 7 x 2 = 14.
6 x 8 = 48 and 4 x 8 = 32.
8 x 8 = 64 and 6 x 4 = 24.
Puzzle 826
Art Theft - Logic Puzzles
After a local art theft, six suspects were interviewed.
Below is a summary of their statements.
Police knew that exactly four of them told one lie each, and all the other statements were true.
From this information, can you tell who committed the crime?
Alex said:
It wasn't Billie
It wasn't Drew
It wasn't Emery
Billie said:
It wasn't Alex
It wasn't Chris
It wasn't Emery
Chris said:
It wasn't Billie
It wasn't Frankie
It wasn't Emery
Drew said:
It wasn't Alex
It wasn't Frankie
It wasn't Chris
Emery said:
It wasn't Chris
It wasn't Drew
It wasn't Frankie
Frankie said:
It wasn't Chris
It wasn't Drew
It wasn't Alex
Puzzle Copyright © Kevin Stone
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Hint
If Alex had committed the crime, how many lies would there be?
Answer
Chris committed the crime.
Reasoning
We know that exactly 4 lies were told.
If it was Alex, then 3 lies would have been told (by those who said it wasn't Alex).
If it was Billie, then 2 lies would have been told.
If it was Chris, then 4 lies would have been told.
If it was Drew, then 3 lies would have been told.
If it was Emery, then 3 lies would have been told.
If it was Frankie, then 3 lies would have been told.
Therefore, it can only have been Chris.
Double-Checking
Since it was Chris, there were 14 truths, and 4 lies, for a total of 18 clues.
Puzzle 827
Many years ago, a cruise liner sank in the middle of the ocean.
The castaways luckily landed on a remote desert island.
There was enough food for the 220 people to last three weeks.
Six days later a rescue ship appeared, unluckily this ship also sank, leaving an additional 55 people stranded on the island to now share the original rationed food.
The food obviously had to be re-rationed, but everyone was now on one-half of the original ration, so how many days in total would the food last for, from the day of the original sinking?
Puzzle Copyright © Kevin Stone
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Hint
How many rations were there at the start?
Answer
30 days.
Reasoning
Originally there was enough food for 220 people for 21 days, which totals 4620 rations.
After 6 days 1320 rations were eaten.
Therefore, there were now 3300 rations for 275 people, which would last for another 24 days at one-half ration per person.
Which is 30 days in total from the original sinking.
Puzzle 828
Using all of the letters A to Z, each once only, complete these common words.
ba-g-
d--ed
dia--
-uo-a
i-de-
-o-el
-um-s
py--y
g-ou-
--nal
tra--
-umb-
d--ty
Puzzle Copyright © Kevin Stone
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Hint
The 4th word begins with the letter Q.
Answers
ba-g- = badge (DE)
d--ed = dazed (AZ)
dia-- = diary (RY)
-uo-a = quota (QT)
i-de- = index (NX)
-o-el = vowel (VW)
-um-s = bumps (BP)
py--y = pygmy (GM)
g-ou- = ghoul (HL)
--nal = final (FI)
tra-- = track (CK)
-umb- = jumbo (JO)
d--ty = dusty (US)
This puzzle isn't guaranteed to have a unique answer, can you find another?
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